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<h3>
Marge Bot pushed to branch master
at <a href="https://gitlab.haskell.org/ghc/ghc">Glasgow Haskell Compiler / GHC</a>
</h3>
<h4>
Commits:
</h4>
<ul>
<li>
<strong><a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239">9a96ff6b</a></strong>
<div>
<span>by Richard Eisenberg</span>
<i>at 2020-03-21T00:44:17Z</i>
</div>
<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Update core spec to reflect changes to Core.
Key changes:
* Adds a new rule for forall-coercions over coercion variables, which
was implemented but conspicuously missing from the spec.
* Adds treatment for FunCo.
* Adds treatment for ForAllTy over coercion variables.
* Improves commentary (including restoring a Note lost in
03d4852658e1b7407abb4da84b1b03bfa6f6db3b) in the source.
No changes to running code.
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<h4>11 changed files:</h4>
<ul>
<li class="file-stats">
<a href="#412267f7d5ed866deae5ac2ca598ff8092b826b6">
.gitlab/linters/check-cpp.py
</a>
</li>
<li class="file-stats">
<a href="#783e5dae6e86931f06700fc088fb7d48c8a07386">
compiler/GHC/Core/Coercion.hs
</a>
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<li class="file-stats">
<a href="#36a42448a83a9d1f6df8475f03ead2eed199dd8e">
compiler/GHC/Core/Lint.hs
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<li class="file-stats">
<a href="#578c7c3857d66d963736ff6742f3433a0e8d01b7">
compiler/GHC/Core/TyCo/Rep.hs
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<li class="file-stats">
<a href="#84c9d3ba34173297e7d7747e02caa2e004b164fc">
compiler/GHC/Core/Type.hs
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<li class="file-stats">
<a href="#89a2e0e1a3095c7a42b10f2819049908908080e8">
compiler/GHC/Core/Unify.hs
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<li class="file-stats">
<a href="#7b5f4ed944466f558bfa09d699099f9cbe04f1d6">
docs/core-spec/.gitignore
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<li class="file-stats">
<a href="#f740374ad9d1ce333c9d2992b2feda632e24371f">
docs/core-spec/CoreLint.ott
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<li class="file-stats">
<a href="#560a2a2363bd7c0d01f90fdb07e153565ada8556">
docs/core-spec/CoreSyn.ott
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<li class="file-stats">
<a href="#7dc5395d86b92c5a2b05aa2e9c13c1635f051da8">
docs/core-spec/core-spec.mng
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<li class="file-stats">
<a href="#992e7eb1bd13e4d31f52ca068190ea73dba7e829">
docs/core-spec/core-spec.pdf
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<h4>Changes:</h4>
<li id="412267f7d5ed866deae5ac2ca598ff8092b826b6">
<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#412267f7d5ed866deae5ac2ca598ff8092b826b6"><strong>.gitlab/linters/check-cpp.py</strong></a>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="29" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -29,6 +29,8 @@ for l in linters:</td>
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<pre style="margin: 0;"> <span id="LC29" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># Don't lint font files</span></span>
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<pre style="margin: 0;"> <span id="LC30" class="line" lang="python"> <span class="n" style="color: #333;">l</span><span class="o" style="font-weight: 600;">.</span><span class="n" style="color: #333;">add_path_filter</span><span class="p">(</span><span class="k" style="font-weight: 600;">lambda</span> <span class="n" style="color: #333;">path</span><span class="p">:</span> <span class="ow" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">path</span><span class="o" style="font-weight: 600;">.</span><span class="n" style="color: #333;">parent</span> <span class="o" style="font-weight: 600;">==</span> <span class="n" style="color: #333;">Path</span><span class="p">(</span><span class="s" style="color: #d14;">'docs'</span><span class="p">,</span><span class="s" style="color: #d14;">'users_guide'</span><span class="p">,</span></span>
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<pre style="margin: 0;"> <span id="LC31" class="line" lang="python"> <span class="s" style="color: #d14;">'rtd-theme'</span><span class="p">,</span> <span class="s" style="color: #d14;">'static'</span><span class="p">,</span> <span class="s" style="color: #d14;">'fonts'</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC32" class="line" lang="python"> <span class="c1" style="color: #998; font-style: italic;"># Don't lint core spec</span></span>
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<pre style="margin: 0;">+<span id="LC33" class="line" lang="python"> <span class="n" style="color: #333;">l</span><span class="o" style="font-weight: 600;">.</span><span class="n" style="color: #333;">add_path_filter</span><span class="p">(</span><span class="k" style="font-weight: 600;">lambda</span> <span class="n" style="color: #333;">path</span><span class="p">:</span> <span class="ow" style="font-weight: 600;">not</span> <span class="n" style="color: #333;">path</span><span class="o" style="font-weight: 600;">.</span><span class="n" style="color: #333;">name</span> <span class="o" style="font-weight: 600;">==</span> <span class="s" style="color: #d14;">'core-spec.pdf'</span><span class="p">)</span></span>
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34
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<pre style="margin: 0;"> <span id="LC34" class="line" lang="python"></span>
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<pre style="margin: 0;"> <span id="LC35" class="line" lang="python"><span class="k" style="font-weight: 600;">if</span> <span class="n" style="color: #333;">__name__</span> <span class="o" style="font-weight: 600;">==</span> <span class="s" style="color: #d14;">'__main__'</span><span class="p">:</span></span>
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<pre style="margin: 0;"> <span id="LC36" class="line" lang="python"> <span class="n" style="color: #333;">run_linters</span><span class="p">(</span><span class="n" style="color: #333;">linters</span><span class="p">)</span></span></pre>
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<li id="783e5dae6e86931f06700fc088fb7d48c8a07386">
<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#783e5dae6e86931f06700fc088fb7d48c8a07386"><strong>compiler/GHC/Core/Coercion.hs</strong></a>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="1371" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="1371" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1371,7 +1371,7 @@ promoteCoercion co = case co of</td>
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1371
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1371
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<pre style="margin: 0;"> <span id="LC1371" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">ForAllCo</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span></span>
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<pre style="margin: 0;"> <span id="LC1372" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC1373" class="line" lang="haskell"> <span class="n" style="color: #333;">mkNomReflCo</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>
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1374
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<pre style="margin: 0;">-<span id="LC1374" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC1374" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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1375
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<pre style="margin: 0;"> <span id="LC1375" class="line" lang="haskell"></span>
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1376
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<pre style="margin: 0;"> <span id="LC1376" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">FunCo</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span> <span class="kr" style="font-weight: 600;">_</span></span>
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1377
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<pre style="margin: 0;"> <span id="LC1377" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1420,7 +1420,7 @@ promoteCoercion co = case co of</td>
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1420
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<pre style="margin: 0;"> <span id="LC1420" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">otherwise</span></span>
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1421
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<pre style="margin: 0;"> <span id="LC1421" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span><span class="p">)</span></span>
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1422
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<pre style="margin: 0;"> <span id="LC1422" class="line" lang="haskell"> <span class="n" style="color: #333;">mkNomReflCo</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>
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1423
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<pre style="margin: 0;">-<span id="LC1423" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC1423" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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1424
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1424
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<pre style="margin: 0;"> <span id="LC1424" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1425" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">KindCo</span> <span class="kr" style="font-weight: 600;">_</span></span>
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1426
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<pre style="margin: 0;"> <span id="LC1426" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">-></span> <span class="kt" style="color: #458; font-weight: 600;">ASSERT</span><span class="p">(</span> <span class="kt" style="color: #458; font-weight: 600;">False</span> <span class="p">)</span></span>
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<li id="36a42448a83a9d1f6df8475f03ead2eed199dd8e">
<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#36a42448a83a9d1f6df8475f03ead2eed199dd8e"><strong>compiler/GHC/Core/Lint.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1467,7 +1467,6 @@ lintType t@(ForAllTy (Bndr cv _vis) ty)</td>
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<pre style="margin: 0;"> <span id="LC1467" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">checkValueKind</span> <span class="n" style="color: #333;">k</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"the body of forall:"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">t</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC1468" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">return</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>
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<pre style="margin: 0;"> <span id="LC1469" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- We don't check variable escape here. Namely, k could refer to cv'</span></span>
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<pre style="margin: 0;">-<span id="LC1470" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [NthCo and newtypes] in GHC.Core.TyCo.Rep</span></span>
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<pre style="margin: 0;"> <span id="LC1470" class="line" lang="haskell"> <span class="p">}}</span></span>
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1471
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<pre style="margin: 0;"> <span id="LC1471" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1472" class="line" lang="haskell"><span class="n" style="color: #333;">lintType</span> <span class="n" style="color: #333;">ty</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">LitTy</span> <span class="n" style="color: #333;">l</span><span class="p">)</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">lintTyLit</span> <span class="n" style="color: #333;">l</span> <span class="o" style="font-weight: 600;">>></span> <span class="n" style="color: #333;">return</span> <span class="p">(</span><span class="n" style="color: #333;">typeKind</span> <span class="n" style="color: #333;">ty</span><span class="p">)</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1826,7 +1825,7 @@ lintCoercion (ForAllCo cv1 kind_co co)</td>
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<pre style="margin: 0;"> <span id="LC1825" class="line" lang="haskell"> <span class="p">;</span> <span class="p">(</span><span class="n" style="color: #333;">k3</span><span class="p">,</span> <span class="n" style="color: #333;">k4</span><span class="p">,</span> <span class="n" style="color: #333;">t1</span><span class="p">,</span> <span class="n" style="color: #333;">t2</span><span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co</span></span>
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<pre style="margin: 0;"> <span id="LC1826" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">checkValueKind</span> <span class="n" style="color: #333;">k3</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"the body of a ForAllCo over covar:"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">co</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC1827" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">checkValueKind</span> <span class="n" style="color: #333;">k4</span> <span class="p">(</span><span class="n" style="color: #333;">text</span> <span class="s" style="color: #d14;">"the body of a ForAllCo over covar:"</span> <span class="o" style="font-weight: 600;"><+></span> <span class="n" style="color: #333;">ppr</span> <span class="n" style="color: #333;">co</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC1829" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC1828" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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<pre style="margin: 0;"> <span id="LC1829" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">getInScope</span></span>
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<pre style="margin: 0;"> <span id="LC1830" class="line" lang="haskell"> <span class="p">;</span> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">tyl</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkTyCoInvForAllTy</span> <span class="n" style="color: #333;">cv1</span> <span class="n" style="color: #333;">t1</span></span>
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<pre style="margin: 0;"> <span id="LC1831" class="line" lang="haskell"> <span class="n" style="color: #333;">r2</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">coVarRole</span> <span class="n" style="color: #333;">cv1</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1845,7 +1844,7 @@ lintCoercion (ForAllCo cv1 kind_co co)</td>
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<pre style="margin: 0;"> <span id="LC1844" class="line" lang="haskell"> <span class="n" style="color: #333;">tyr</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">mkTyCoInvForAllTy</span> <span class="n" style="color: #333;">cv2</span> <span class="o" style="font-weight: 600;">$</span></span>
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<pre style="margin: 0;"> <span id="LC1845" class="line" lang="haskell"> <span class="n" style="color: #333;">substTy</span> <span class="n" style="color: #333;">subst</span> <span class="n" style="color: #333;">t2</span></span>
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<pre style="margin: 0;"> <span id="LC1846" class="line" lang="haskell"> <span class="p">;</span> <span class="n" style="color: #333;">return</span> <span class="p">(</span><span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">tyl</span><span class="p">,</span> <span class="n" style="color: #333;">tyr</span><span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="p">}</span> <span class="p">}</span></span>
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<pre style="margin: 0;">-<span id="LC1848" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC1847" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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<pre style="margin: 0;"> <span id="LC1848" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1849" class="line" lang="haskell"><span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co</span><span class="o" style="font-weight: 600;">@</span><span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">FunCo</span> <span class="n" style="color: #333;">r</span> <span class="n" style="color: #333;">co1</span> <span class="n" style="color: #333;">co2</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC1850" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="kr" style="font-weight: 600;">do</span> <span class="p">{</span> <span class="p">(</span><span class="n" style="color: #333;">k1</span><span class="p">,</span><span class="n" style="color: #333;">k'1</span><span class="p">,</span><span class="n" style="color: #333;">s1</span><span class="p">,</span><span class="n" style="color: #333;">t1</span><span class="p">,</span><span class="n" style="color: #333;">r1</span><span class="p">)</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">lintCoercion</span> <span class="n" style="color: #333;">co1</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="2019" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -2019,7 +2018,7 @@ lintCoercion (InstCo co arg)</td>
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2019
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<pre style="margin: 0;"> <span id="LC2018" class="line" lang="haskell"> <span class="p">,</span> <span class="kt" style="color: #458; font-weight: 600;">CoercionTy</span> <span class="n" style="color: #333;">s2'</span> <span class="o" style="font-weight: 600;"><-</span> <span class="n" style="color: #333;">s2</span></span>
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2020
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<pre style="margin: 0;"> <span id="LC2019" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">-></span> <span class="kr" style="font-weight: 600;">do</span> <span class="p">{</span> <span class="n" style="color: #333;">return</span> <span class="o" style="font-weight: 600;">$</span></span>
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<pre style="margin: 0;"> <span id="LC2020" class="line" lang="haskell"> <span class="p">(</span><span class="n" style="color: #333;">liftedTypeKind</span><span class="p">,</span> <span class="n" style="color: #333;">liftedTypeKind</span></span>
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2022
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<pre style="margin: 0;">-<span id="LC2022" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC2021" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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2023
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<pre style="margin: 0;"> <span id="LC2022" class="line" lang="haskell"> <span class="p">,</span> <span class="n" style="color: #333;">substTy</span> <span class="p">(</span><span class="n" style="color: #333;">mkCvSubst</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">unitVarEnv</span> <span class="n" style="color: #333;">cv1</span> <span class="n" style="color: #333;">s1'</span><span class="p">)</span> <span class="n" style="color: #333;">t1</span></span>
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<pre style="margin: 0;"> <span id="LC2023" class="line" lang="haskell"> <span class="p">,</span> <span class="n" style="color: #333;">substTy</span> <span class="p">(</span><span class="n" style="color: #333;">mkCvSubst</span> <span class="n" style="color: #333;">in_scope</span> <span class="o" style="font-weight: 600;">$</span> <span class="n" style="color: #333;">unitVarEnv</span> <span class="n" style="color: #333;">cv2</span> <span class="n" style="color: #333;">s2'</span><span class="p">)</span> <span class="n" style="color: #333;">t2</span></span>
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2024
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<pre style="margin: 0;"> <span id="LC2024" class="line" lang="haskell"> <span class="p">,</span> <span class="n" style="color: #333;">r</span><span class="p">)</span> <span class="p">}</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#578c7c3857d66d963736ff6742f3433a0e8d01b7"><strong>compiler/GHC/Core/TyCo/Rep.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -206,6 +206,9 @@ data Type</td>
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<pre style="margin: 0;"> <span id="LC206" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">ForAllTy</span></span>
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<pre style="margin: 0;"> <span id="LC207" class="line" lang="haskell"> <span class="cp" style="color: #999; font-weight: 600;">{-# UNPACK #-}</span> <span class="o" style="font-weight: 600;">!</span><span class="kt" style="color: #458; font-weight: 600;">TyCoVarBinder</span></span>
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<pre style="margin: 0;"> <span id="LC208" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Type</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ A Π type.</span></span>
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<pre style="margin: 0;">+<span id="LC209" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- INVARIANT: If the binder is a coercion variable, it must</span></span>
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<pre style="margin: 0;">+<span id="LC210" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- be mentioned in the Type. See</span></span>
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<pre style="margin: 0;">+<span id="LC211" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- Note [Unused coercion variable in ForAllTy]</span></span>
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<pre style="margin: 0;"> <span id="LC212" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC213" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">FunTy</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ t1 -> t2 Very common, so an important special case</span></span>
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<pre style="margin: 0;"> <span id="LC214" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Function types]</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -218,9 +221,10 @@ data Type</td>
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<pre style="margin: 0;"> <span id="LC221" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">CastTy</span></span>
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<pre style="margin: 0;"> <span id="LC222" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Type</span></span>
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<pre style="margin: 0;"> <span id="LC223" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">KindCoercion</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ A kind cast. The coercion is always nominal.</span></span>
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<pre style="margin: 0;">-<span id="LC221" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- INVARIANT: The cast is never refl<span class="idiff left right">.</span></span></span>
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<pre style="margin: 0;">+<span id="LC224" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- INVARIANT: The cast is never refl<span class="idiff left right">exive</span></span></span>
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<pre style="margin: 0;"> <span id="LC225" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- INVARIANT: The Type is not a CastTy (use TransCo instead)</span></span>
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<pre style="margin: 0;">-<span id="LC223" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Respecting definitional equality] (EQ2) and (EQ3)</span></span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- INVARIANT: The Type is not a ForAllTy over a type variable</span></span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Respecting definitional equality] (EQ2), (EQ3), (EQ4)</span></span>
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<pre style="margin: 0;"> <span id="LC228" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC229" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">CoercionTy</span></span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="haskell"> <span class="kt" style="color: #458; font-weight: 600;">Coercion</span> <span class="c1" style="color: #998; font-style: italic;">-- ^ Injection of a Coercion into a type</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -567,10 +571,19 @@ be pulled to the right. But we don't need to pull it: (T |> axFun) Int is not</td>
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<pre style="margin: 0;"> <span id="LC571" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">`eqType` to any proper TyConApp -- thus, leaving it where it is doesn't violate</span></span>
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<pre style="margin: 0;"> <span id="LC572" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">our (EQ) property.</span></span>
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<pre style="margin: 0;"> <span id="LC573" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC570" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">Lastly, i</span>n order to detect reflexive casts reliably, we must make sure not</span></span>
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<pre style="margin: 0;">+<span id="LC574" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"><span class="idiff left right">I</span>n order to detect reflexive casts reliably, we must make sure not</span></span>
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<pre style="margin: 0;"> <span id="LC575" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">to have nested casts: we update (t |> co1 |> co2) to (t |> (co1 `TransCo` co2)).</span></span>
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<pre style="margin: 0;"> <span id="LC576" class="line" lang="haskell"></span>
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<pre style="margin: 0;">-<span id="LC573" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">In sum, in order to uphold (EQ), we need the following three invariants:</span></span>
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<pre style="margin: 0;">+<span id="LC577" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">One other troublesome case is ForAllTy. See Note [Weird typing rule for ForAllTy].</span></span>
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<pre style="margin: 0;">+<span id="LC578" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">The kind of the body is the same as the kind of the ForAllTy. Accordingly,</span></span>
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<pre style="margin: 0;">+<span id="LC579" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC580" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ForAllTy tv (ty |> co) and (ForAllTy tv ty) |> co</span></span>
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<pre style="margin: 0;">+<span id="LC581" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC582" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">are `eqType`. But only the first can be split by splitForAllTy. So we forbid</span></span>
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<pre style="margin: 0;">+<span id="LC583" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">the second form, instead pushing the coercion inside to get the first form.</span></span>
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<pre style="margin: 0;">+<span id="LC584" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">This is done in mkCastTy.</span></span>
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<pre style="margin: 0;">+<span id="LC586" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">In sum, in order to uphold (EQ), we need the following invariants:</span></span>
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<pre style="margin: 0;"> <span id="LC587" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC588" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> (EQ1) No decomposable CastTy to the left of an AppTy, where a decomposable</span></span>
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<pre style="margin: 0;"> <span id="LC589" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> cast is one that relates either a FunTy to a FunTy or a</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -578,7 +591,7 @@ In sum, in order to uphold (EQ), we need the following three invariants:</td>
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591
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<pre style="margin: 0;"> <span id="LC591" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> (EQ2) No reflexive casts in CastTy.</span></span>
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579
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592
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<pre style="margin: 0;"> <span id="LC592" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> (EQ3) No nested CastTys.</span></span>
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580
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593
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<pre style="margin: 0;"> <span id="LC593" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> (EQ4) No CastTy over (ForAllTy (Bndr tyvar vis) body).</span></span>
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581
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<pre style="margin: 0;">-<span id="LC581" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> See Note [Weird typing rule for ForAllTy]<span class="idiff left right"> in GHC.Core.Type.</span></span></span>
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594
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<pre style="margin: 0;">+<span id="LC594" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> See Note [Weird typing rule for ForAllTy]</span></span>
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582
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595
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<pre style="margin: 0;"> <span id="LC595" class="line" lang="haskell"></span>
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583
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596
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<pre style="margin: 0;"> <span id="LC596" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">These invariants are all documented above, in the declaration for Type.</span></span>
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584
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597
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<pre style="margin: 0;"> <span id="LC597" class="line" lang="haskell"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -607,6 +620,45 @@ There are cases we want to skip the check. For example, the check is</td>
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607
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620
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<pre style="margin: 0;"> <span id="LC620" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">unnecessary when it is known from the context that the input variable</span></span>
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608
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<pre style="margin: 0;"> <span id="LC621" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">is a type variable. In those cases, we use mkForAllTy.</span></span>
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622
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<pre style="margin: 0;"> <span id="LC622" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC623" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note [Weird typing rule for ForAllTy]</span></span>
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624
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<pre style="margin: 0;">+<span id="LC624" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</span></span>
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<pre style="margin: 0;">+<span id="LC625" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Here is the (truncated) typing rule for the dependent ForAllTy:</span></span>
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<pre style="margin: 0;">+<span id="LC626" class="line" lang="haskell"></span>
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627
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<pre style="margin: 0;">+<span id="LC627" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> inner : TYPE r</span></span>
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<pre style="margin: 0;">+<span id="LC628" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> tyvar is not free in r</span></span>
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629
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<pre style="margin: 0;">+<span id="LC629" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ----------------------------------------</span></span>
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<pre style="margin: 0;">+<span id="LC630" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ForAllTy (Bndr tyvar vis) inner : TYPE r</span></span>
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631
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<pre style="margin: 0;">+<span id="LC631" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC632" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note that the kind of `inner` is the kind of the overall ForAllTy. This is</span></span>
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633
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<pre style="margin: 0;">+<span id="LC633" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">necessary because every ForAllTy over a type variable is erased at runtime.</span></span>
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<pre style="margin: 0;">+<span id="LC634" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Thus the runtime representation of a ForAllTy (as encoded, via TYPE rep, in</span></span>
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635
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<pre style="margin: 0;">+<span id="LC635" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">the kind) must be the same as the representation of the body. We must check</span></span>
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<pre style="margin: 0;">+<span id="LC636" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">for skolem-escape, though. The skolem-escape would prevent a definition like</span></span>
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<pre style="margin: 0;">+<span id="LC637" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC638" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> undefined :: forall (r :: RuntimeRep) (a :: TYPE r). a</span></span>
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<pre style="margin: 0;">+<span id="LC639" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC640" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">because the type's kind (TYPE r) mentions the out-of-scope r. Luckily, the real</span></span>
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641
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<pre style="margin: 0;">+<span id="LC641" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">type of undefined is</span></span>
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<pre style="margin: 0;">+<span id="LC642" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC643" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> undefined :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => a</span></span>
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<pre style="margin: 0;">+<span id="LC645" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">and that HasCallStack constraint neatly sidesteps the potential skolem-escape</span></span>
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646
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<pre style="margin: 0;">+<span id="LC646" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">problem.</span></span>
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<pre style="margin: 0;">+<span id="LC647" class="line" lang="haskell"></span>
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648
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<pre style="margin: 0;">+<span id="LC648" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">If the bound variable is a coercion variable:</span></span>
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649
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<pre style="margin: 0;">+<span id="LC649" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC650" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> inner : TYPE r</span></span>
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<pre style="margin: 0;">+<span id="LC651" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> covar is free in inner</span></span>
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652
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<pre style="margin: 0;">+<span id="LC652" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ------------------------------------</span></span>
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<pre style="margin: 0;">+<span id="LC653" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;"> ForAllTy (Bndr covar vis) inner : Type</span></span>
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<pre style="margin: 0;">+<span id="LC654" class="line" lang="haskell"></span>
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<pre style="margin: 0;">+<span id="LC655" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Here, the kind of the ForAllTy is just Type, because coercion abstractions</span></span>
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656
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<pre style="margin: 0;">+<span id="LC656" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">are *not* erased. The "covar is free in inner" premise is solely to maintain</span></span>
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657
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<pre style="margin: 0;">+<span id="LC657" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">the representation invariant documented in</span></span>
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<pre style="margin: 0;">+<span id="LC658" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">Note [Unused coercion variable in ForAllTy]. Though there is surface similarity</span></span>
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659
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<pre style="margin: 0;">+<span id="LC659" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">between this free-var check and the one in the tyvar rule, these two restrictions</span></span>
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<pre style="margin: 0;">+<span id="LC660" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">are truly unrelated.</span></span>
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<pre style="margin: 0;">+<span id="LC661" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC662" class="line" lang="haskell"><span class="cm" style="color: #998; font-style: italic;">-}</span></span>
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663
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<pre style="margin: 0;"> <span id="LC663" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC664" class="line" lang="haskell"><span class="cd">-- | A type labeled 'KnotTied' might have knot-tied tycons in it. See</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1003,6 +1055,7 @@ data Coercion</td>
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1003
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1055
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<pre style="margin: 0;"> <span id="LC1055" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- The TyCon is never a synonym;</span></span>
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1004
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1056
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<pre style="margin: 0;"> <span id="LC1056" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- we expand synonyms eagerly</span></span>
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1057
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<pre style="margin: 0;"> <span id="LC1057" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- But it can be a type function</span></span>
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<pre style="margin: 0;">+<span id="LC1058" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- TyCon is never a saturated (->); use FunCo instead</span></span>
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1006
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1059
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<pre style="margin: 0;"> <span id="LC1059" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1060" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="kt" style="color: #458; font-weight: 600;">AppCo</span> <span class="kt" style="color: #458; font-weight: 600;">Coercion</span> <span class="kt" style="color: #458; font-weight: 600;">CoercionN</span> <span class="c1" style="color: #998; font-style: italic;">-- lift AppTy</span></span>
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<pre style="margin: 0;"> <span id="LC1061" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- AppCo :: e -> N -> e</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#84c9d3ba34173297e7d7747e02caa2e004b164fc"><strong>compiler/GHC/Core/Type.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1382,6 +1382,7 @@ mkCastTy (CastTy ty co1) co2</td>
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<pre style="margin: 0;"> <span id="LC1382" class="line" lang="haskell"></span>
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<pre style="margin: 0;"> <span id="LC1383" class="line" lang="haskell"><span class="n" style="color: #333;">mkCastTy</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">ForAllTy</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">Bndr</span> <span class="n" style="color: #333;">tv</span> <span class="n" style="color: #333;">vis</span><span class="p">)</span> <span class="n" style="color: #333;">inner_ty</span><span class="p">)</span> <span class="n" style="color: #333;">co</span></span>
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1384
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1384
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<pre style="margin: 0;"> <span id="LC1384" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- (EQ4) from the Note</span></span>
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<pre style="margin: 0;">+<span id="LC1385" class="line" lang="haskell"> <span class="c1" style="color: #998; font-style: italic;">-- See Note [Weird typing rule for ForAllTy] in GHC.Core.TyCo.Rep.</span></span>
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1385
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1386
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<pre style="margin: 0;"> <span id="LC1386" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">|</span> <span class="n" style="color: #333;">isTyVar</span> <span class="n" style="color: #333;">tv</span></span>
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1386
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1387
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<pre style="margin: 0;"> <span id="LC1387" class="line" lang="haskell"> <span class="p">,</span> <span class="kr" style="font-weight: 600;">let</span> <span class="n" style="color: #333;">fvs</span> <span class="o" style="font-weight: 600;">=</span> <span class="n" style="color: #333;">tyCoVarsOfCo</span> <span class="n" style="color: #333;">co</span></span>
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1387
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1388
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<pre style="margin: 0;"> <span id="LC1388" class="line" lang="haskell"> <span class="o" style="font-weight: 600;">=</span> <span class="c1" style="color: #998; font-style: italic;">-- have to make sure that pushing the co in doesn't capture the bound var!</span></span>
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<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#89a2e0e1a3095c7a42b10f2819049908908080e8"><strong>compiler/GHC/Core/Unify.hs</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -1507,7 +1507,7 @@ ty_co_match menv subst (ForAllTy (Bndr tv1 _) ty1)</td>
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<pre style="margin: 0;"> <span id="LC1507" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- subst2 <- ty_co_match menv subst1 s2 eta2 kco3 kco4</span></span>
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<pre style="margin: 0;"> <span id="LC1508" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Question: How do we get kcoi?</span></span>
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<pre style="margin: 0;"> <span id="LC1509" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- 2. Given:</span></span>
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<pre style="margin: 0;">-<span id="LC1510" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- lkco :: <*> -- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">pe</span></span></span>
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<pre style="margin: 0;">+<span id="LC1510" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- lkco :: <*> -- See Note [Weird typing rule for ForAllTy] in GHC.Core.Ty<span class="idiff left right">Co.Rep</span></span></span>
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<pre style="margin: 0;"> <span id="LC1511" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- rkco :: <*></span></span>
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<pre style="margin: 0;"> <span id="LC1512" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- Wanted:</span></span>
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<pre style="margin: 0;"> <span id="LC1513" class="line" lang="haskell"><span class="c1" style="color: #998; font-style: italic;">-- ty_co_match menv' subst2 ty1 co2 lkco' rkco'</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -4,3 +4,4 @@</td>
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<pre style="margin: 0;"> <span id="LC4" class="line" lang="plaintext">CoreOtt.tex</span>
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<pre style="margin: 0;"> <span id="LC5" class="line" lang="plaintext">core-spec.tex</span>
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<pre style="margin: 0;"> <span id="LC6" class="line" lang="plaintext">*.fls</span>
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<pre style="margin: 0;">+<span id="LC7" class="line" lang="plaintext">*.out</span></pre>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -232,8 +232,8 @@ G |-co g1 : s1 k1~R k'1 t1</td>
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<pre style="margin: 0;"> <span id="LC232" class="line" lang="plaintext">G |-co g2 : s2 k2~R k'2 t2</span>
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<pre style="margin: 0;"> <span id="LC233" class="line" lang="plaintext">G |-arrow k1 -> k2 : k</span>
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<pre style="margin: 0;"> <span id="LC234" class="line" lang="plaintext">G |-arrow k'1 -> k'2 : k'</span>
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<pre style="margin: 0;">-<span id="LC235" class="line" lang="plaintext">------------------------- :: <span class="idiff left right">TyConAppCoFunTy</span></span>
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<pre style="margin: 0;">-<span id="LC236" class="line" lang="plaintext">G |-co <span class="idiff left right">(->)_R g1</span> g2 : (s1 -> s2) k~R k' (t1 -> t2)</span>
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<pre style="margin: 0;">+<span id="LC235" class="line" lang="plaintext">------------------------- :: <span class="idiff left right">FunCo</span></span>
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<pre style="margin: 0;">+<span id="LC236" class="line" lang="plaintext">G |-co <span class="idiff left right">g1 ->_R</span> g2 : (s1 -> s2) k~R k' (t1 -> t2)</span>
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<pre style="margin: 0;"> <span id="LC237" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC238" class="line" lang="plaintext">T /= (->)</span>
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<pre style="margin: 0;"> <span id="LC239" class="line" lang="plaintext"></ Ri // i /> = take(length </ gi // i />, tyConRolesX R T)</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -258,9 +258,19 @@ G |-app (t2 : k2') : k2 ~> k4</td>
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<pre style="margin: 0;"> <span id="LC258" class="line" lang="plaintext">G |-co g1 g2 : (s1 t1) k3~Ph k4 (s2 t2)</span>
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259
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<pre style="margin: 0;"> <span id="LC259" class="line" lang="plaintext"></span>
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260
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260
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<pre style="margin: 0;"> <span id="LC260" class="line" lang="plaintext">G |-co h : k1 *~Nom * k2</span>
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261
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<pre style="margin: 0;">-<span id="LC261" class="line" lang="plaintext">G, z_k1 |-co g : t1 k3~R k4 t2</span>
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262
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<pre style="margin: 0;">-<span id="LC262" class="line" lang="plaintext">------------------------------------------------------------------ :: ForAllCo</span>
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263
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<pre style="margin: 0;">-<span id="LC263" class="line" lang="plaintext">G |-co forall z:h. g : (forall z_k1. t1) k3~R k4 (forall z_k2. (t2[z |-> z_k2 |> sym h]))</span>
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261
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<pre style="margin: 0;">+<span id="LC261" class="line" lang="plaintext">G, alpha_k1 |-co g : t1 k3~R k4 t2</span>
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262
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<pre style="margin: 0;">+<span id="LC262" class="line" lang="plaintext">------------------------------------------------------------------ :: ForAllCo_Tv</span>
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263
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<pre style="margin: 0;">+<span id="LC263" class="line" lang="plaintext">G |-co forall alpha:h. g : (forall alpha_k1. t1) k3~R k4 (forall alpha_k2. (t2[alpha |-> alpha_k2 |> sym h]))</span>
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264
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<pre style="margin: 0;">+<span id="LC264" class="line" lang="plaintext"></span>
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265
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<pre style="margin: 0;">+<span id="LC265" class="line" lang="plaintext">G |-co h : k1 *~Nom * k2</span>
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266
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<pre style="margin: 0;">+<span id="LC266" class="line" lang="plaintext">G, x_k1 |-co g : t1 {TYPE s1}~R {TYPE s2} t2</span>
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267
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<pre style="margin: 0;">+<span id="LC267" class="line" lang="plaintext">R2 = coercionRole x_k1</span>
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268
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<pre style="margin: 0;">+<span id="LC268" class="line" lang="plaintext">h' = downgradeRole R2 h</span>
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269
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<pre style="margin: 0;">+<span id="LC269" class="line" lang="plaintext">h1 = nth R2 2 h'</span>
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270
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<pre style="margin: 0;">+<span id="LC270" class="line" lang="plaintext">h2 = nth R2 3 h'</span>
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271
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<pre style="margin: 0;">+<span id="LC271" class="line" lang="plaintext">almostDevoid x g</span>
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272
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<pre style="margin: 0;">+<span id="LC272" class="line" lang="plaintext">------------------------------------------- :: ForAllCo_Cv</span>
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273
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<pre style="margin: 0;">+<span id="LC273" class="line" lang="plaintext">G |-co forall x:h.g : (forall x_k1. t1) *~R * (forall x_k2. (t2[ x |-> h1 ; x_k2 ; sym h2 ]))</span>
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264
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274
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<pre style="margin: 0;"> <span id="LC274" class="line" lang="plaintext"></span>
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265
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275
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<pre style="margin: 0;"> <span id="LC275" class="line" lang="plaintext">z_phi elt G</span>
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266
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276
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<pre style="margin: 0;"> <span id="LC276" class="line" lang="plaintext">phi = t1 k1~#k2 t2</span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="495" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -495,10 +505,17 @@ G |-app </ (ti : ki) // i /> : tyConKind T ~> k</td>
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495
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505
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<pre style="margin: 0;"> <span id="LC505" class="line" lang="plaintext">G |-ty T </ ti // i /> : k</span>
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496
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506
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<pre style="margin: 0;"> <span id="LC506" class="line" lang="plaintext"></span>
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497
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507
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<pre style="margin: 0;"> <span id="LC507" class="line" lang="plaintext">G |-ki k1 ok</span>
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498
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<pre style="margin: 0;">-<span id="LC498" class="line" lang="plaintext">G, z_k1 |-ty t : TYPE s</span>
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<pre style="margin: 0;">-<span id="LC499" class="line" lang="plaintext">not (z elt fv(s))</span>
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<pre style="margin: 0;">-<span id="LC500" class="line" lang="plaintext">------------------------ :: ForAllTy</span>
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<pre style="margin: 0;">-<span id="LC501" class="line" lang="plaintext">G |-ty forall z_k1. t : TYPE s</span>
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508
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<pre style="margin: 0;">+<span id="LC508" class="line" lang="plaintext">G, alpha_k1 |-ty t : TYPE s</span>
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<pre style="margin: 0;">+<span id="LC509" class="line" lang="plaintext">not (alpha elt fv(s))</span>
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<pre style="margin: 0;">+<span id="LC510" class="line" lang="plaintext">------------------------ :: ForAllTy_Tv</span>
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511
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<pre style="margin: 0;">+<span id="LC511" class="line" lang="plaintext">G |-ty forall alpha_k1. t : TYPE s</span>
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512
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<pre style="margin: 0;">+<span id="LC512" class="line" lang="plaintext"></span>
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<pre style="margin: 0;">+<span id="LC513" class="line" lang="plaintext">phi = s1 k1~#k2 s2</span>
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<pre style="margin: 0;">+<span id="LC514" class="line" lang="plaintext">G |-ki phi ok</span>
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<pre style="margin: 0;">+<span id="LC515" class="line" lang="plaintext">G, x_phi |-ty t : TYPE s</span>
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<pre style="margin: 0;">+<span id="LC516" class="line" lang="plaintext">x elt fv(t)</span>
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<pre style="margin: 0;">+<span id="LC517" class="line" lang="plaintext">--------------------- :: ForAllTy_Cv</span>
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<pre style="margin: 0;">+<span id="LC518" class="line" lang="plaintext">G |-ty forall x_phi.t : *</span>
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<pre style="margin: 0;"> <span id="LC519" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC520" class="line" lang="plaintext">G |-tylit lit : k</span>
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<pre style="margin: 0;"> <span id="LC521" class="line" lang="plaintext">-------------- :: LitTy</span>
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<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#560a2a2363bd7c0d01f90fdb07e153565ada8556"><strong>docs/core-spec/CoreSyn.ott</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -143,6 +143,7 @@ g {{ tex \gamma }}, h {{ tex \eta }} :: 'Coercion_' ::= {{ com Coercions, \coder</td>
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143
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<pre style="margin: 0;"> <span id="LC143" class="line" lang="plaintext"> | < t > R mg :: :: GRefl {{ com \ctor{GRefl}: Generalized Reflexivity }}</span>
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<pre style="margin: 0;"> <span id="LC144" class="line" lang="plaintext"> {{ tex {\langle [[t]] \rangle}^{[[mg]]}_{[[R]]} }}</span>
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<pre style="margin: 0;"> <span id="LC145" class="line" lang="plaintext"> | T RA </ gi // i /> :: :: TyConAppCo {{ com \ctor{TyConAppCo}: Type constructor application }}</span>
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<pre style="margin: 0;">+<span id="LC146" class="line" lang="plaintext"> | g1 -> RA g2 :: :: FunCo {{ com \ctor{FunCo}: Functions }}</span>
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<pre style="margin: 0;"> <span id="LC147" class="line" lang="plaintext"> | g1 g2 :: :: AppCo {{ com \ctor{AppCo}: Application }}</span>
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<pre style="margin: 0;"> <span id="LC148" class="line" lang="plaintext"> | forall z : h . g :: :: ForAllCo {{ com \ctor{ForAllCo}: Polymorphism }}</span>
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<pre style="margin: 0;"> <span id="LC149" class="line" lang="plaintext"> {{ tex [[forall]] [[z]]{:}[[h]].[[g]] }}</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -162,6 +163,7 @@ g {{ tex \gamma }}, h {{ tex \eta }} :: 'Coercion_' ::= {{ com Coercions, \coder</td>
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162
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163
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<pre style="margin: 0;"> <span id="LC163" class="line" lang="plaintext"> | sub g :: :: SubCo {{ com \ctor{SubCo}: Sub-role --- convert nominal to representational }}</span>
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164
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<pre style="margin: 0;"> <span id="LC164" class="line" lang="plaintext"> | ( g ) :: M :: Parens {{ com Parentheses }}</span>
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165
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<pre style="margin: 0;"> <span id="LC165" class="line" lang="plaintext"> | t $ liftingsubst :: M :: Lifted {{ com Type lifted to coercion }}</span>
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166
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<pre style="margin: 0;">+<span id="LC166" class="line" lang="plaintext"> | downgradeRole R g :: M :: downgradeRole {{ com \textsf{downgradeRole} }}</span>
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167
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="plaintext"></span>
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168
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="plaintext">prov :: 'UnivCoProvenance_' ::= {{ com \ctor{UnivCo} provenance, \coderef{types/TyCoRep.hs}{UnivCoProvenance} }}</span>
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169
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="plaintext"> | UnsafeCoerceProv :: :: UnsafeCoerceProv {{ com From \texttt{unsafeCoerce\#} }}</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -396,8 +398,10 @@ terminals :: 'terminals_' ::=</td>
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396
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398
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<pre style="margin: 0;"> <span id="LC398" class="line" lang="plaintext"> | --> :: :: steps {{ tex \longrightarrow }}</span>
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397
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399
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<pre style="margin: 0;"> <span id="LC399" class="line" lang="plaintext"> | coercionKind :: :: coercionKind {{ tex \textsf{coercionKind} }}</span>
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400
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<pre style="margin: 0;"> <span id="LC400" class="line" lang="plaintext"> | coercionRole :: :: coercionRole {{ tex \textsf{coercionRole} }}</span>
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401
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<pre style="margin: 0;">+<span id="LC401" class="line" lang="plaintext"> | downgradeRole :: :: downgradeRole {{ tex \textsf{downgradeRole} }}</span>
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402
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<pre style="margin: 0;"> <span id="LC402" class="line" lang="plaintext"> | take :: :: take {{ tex \textsf{take}\! }}</span>
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403
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<pre style="margin: 0;"> <span id="LC403" class="line" lang="plaintext"> | coaxrProves :: :: coaxrProves {{ tex \textsf{coaxrProves} }}</span>
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<pre style="margin: 0;">+<span id="LC404" class="line" lang="plaintext"> | almostDevoid :: :: almostDevoid {{ tex \textsf{almostDevoid} }}</span>
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405
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<pre style="margin: 0;"> <span id="LC405" class="line" lang="plaintext"> | Just :: :: Just {{ tex \textsf{Just} }}</span>
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406
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<pre style="margin: 0;"> <span id="LC406" class="line" lang="plaintext"> | \\ :: :: newline {{ tex \\ }}</span>
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407
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<pre style="margin: 0;"> <span id="LC407" class="line" lang="plaintext"> | classifiesTypeWithValues :: :: ctwv {{ tex \textsf{classifiesTypeWithValues} }}</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -483,6 +487,7 @@ formula :: 'formula_' ::=</td>
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487
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<pre style="margin: 0;"> <span id="LC487" class="line" lang="plaintext"> | z elt vars :: :: in_vars</span>
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488
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<pre style="margin: 0;"> <span id="LC488" class="line" lang="plaintext"> | split _ I s = types :: :: split_type</span>
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489
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<pre style="margin: 0;"> <span id="LC489" class="line" lang="plaintext"> {{ tex \mathop{\textsf{split} }_{[[I]]} [[s]] = [[types]] }}</span>
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<pre style="margin: 0;">+<span id="LC490" class="line" lang="plaintext"> | almostDevoid x g :: :: almostDevoid</span>
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491
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<pre style="margin: 0;"> <span id="LC491" class="line" lang="plaintext"></span>
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<pre style="margin: 0;"> <span id="LC492" class="line" lang="plaintext">%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>
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<pre style="margin: 0;"> <span id="LC493" class="line" lang="plaintext">%% Subrules and Parsing %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</span>
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<a href="https://gitlab.haskell.org/ghc/ghc/commit/9a96ff6b1c19c9d0af9c9a39fb2c086f311c7239#7dc5395d86b92c5a2b05aa2e9c13c1635f051da8"><strong>docs/core-spec/core-spec.mng</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -7,6 +7,7 @@</td>
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<pre style="margin: 0;"> <span id="LC7" class="line" lang="tex"><span class="k" style="font-weight: 600;">\usepackage</span><span class="p">{</span>xcolor<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC8" class="line" lang="tex"><span class="k" style="font-weight: 600;">\usepackage</span><span class="p">{</span>fullpage<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC9" class="line" lang="tex"><span class="k" style="font-weight: 600;">\usepackage</span><span class="p">{</span>multirow<span class="p">}</span></span>
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<pre style="margin: 0;">+<span id="LC10" class="line" lang="tex"><span class="k" style="font-weight: 600;">\usepackage</span><span class="p">{</span>hyperref<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC11" class="line" lang="tex"><span class="k" style="font-weight: 600;">\usepackage</span><span class="p">{</span>url<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC12" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC13" class="line" lang="tex"><span class="k" style="font-weight: 600;">\newcommand</span><span class="p">{</span><span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">}</span>[1]<span class="p">{</span><span class="k" style="font-weight: 600;">\textsl</span><span class="p">{</span>#1<span class="p">}}</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -106,10 +107,10 @@ There are a few key invariants about expressions:</td>
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<pre style="margin: 0;"> <span id="LC107" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The right-hand sides of all top-level and recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>s</span>
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<pre style="margin: 0;"> <span id="LC108" class="line" lang="tex">must be of lifted type, with one exception: the right-hand side of a top-level</span>
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<pre style="margin: 0;"> <span id="LC109" class="line" lang="tex"><span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> may be of type <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Addr<span class="k" style="font-weight: 600;">\#</span><span class="p">}</span> if it's a primitive string literal.</span>
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<pre style="margin: 0;">-<span id="LC109" class="line" lang="tex">See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#top_level_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC110" class="line" lang="tex">See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#top_level_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC111" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The right-hand side of a non-recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and the argument</span>
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<pre style="margin: 0;"> <span id="LC112" class="line" lang="tex">of an application may be of unlifted type, but only if the expression</span>
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<pre style="margin: 0;">-<span id="LC112" class="line" lang="tex">is ok-for-speculation. See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#let_app_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC113" class="line" lang="tex">is ok-for-speculation. See <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">#let_app_invariant#</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC114" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> We allow a non-recursive <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">let</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> for bind a type variable.</span>
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<pre style="margin: 0;"> <span id="LC115" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="p">_</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> case for a <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">case</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must come first.</span>
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<pre style="margin: 0;"> <span id="LC116" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The list of case alternatives must be exhaustive.</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -119,7 +120,7 @@ In other words, the payload inside of a \texttt{Type} constructor must not turn</td>
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<pre style="margin: 0;"> <span id="LC120" class="line" lang="tex">to be built with <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>CoercionTy<span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC121" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Join points (introduced by <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">join</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> expressions) follow the invariants</span>
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<pre style="margin: 0;"> <span id="LC122" class="line" lang="tex">laid out in <span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [Invariants on join points]</span><span class="kp" style="font-weight: 600;">|</span> in</span>
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<pre style="margin: 0;">-<span id="LC122" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>:</span>
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<pre style="margin: 0;">+<span id="LC123" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>:</span>
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<pre style="margin: 0;"> <span id="LC124" class="line" lang="tex"><span class="nt" style="color: #000080;">\begin{enumerate}</span></span>
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<pre style="margin: 0;"> <span id="LC125" class="line" lang="tex"> <span class="k" style="font-weight: 600;">\item</span> All occurrences must be tail calls. This is enforced in our typing</span>
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<pre style="margin: 0;"> <span id="LC126" class="line" lang="tex"> rules using the label environment <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -166,13 +167,14 @@ A program is just a list of bindings:</td>
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<pre style="margin: 0;"> <span id="LC167" class="line" lang="tex"><span class="k" style="font-weight: 600;">\gram</span><span class="p">{</span><span class="k" style="font-weight: 600;">\ottprogram</span><span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC168" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC169" class="line" lang="tex"><span class="k" style="font-weight: 600;">\subsection</span><span class="p">{</span>Types<span class="p">}</span></span>
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<pre style="margin: 0;">+<span id="LC170" class="line" lang="tex"><span class="k" style="font-weight: 600;">\label</span><span class="p">{</span>sec:types<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC171" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC172" class="line" lang="tex"><span class="k" style="font-weight: 600;">\gram</span><span class="p">{</span><span class="k" style="font-weight: 600;">\ottt</span><span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC173" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC174" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunTy<span class="p">}</span> is the special case for non-dependent function type. The</span>
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<pre style="margin: 0;">-<span id="LC173" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyBinder<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span> distinguishes whether a binder is</span>
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<pre style="margin: 0;">+<span id="LC175" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyBinder<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span> distinguishes whether a binder is</span>
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<pre style="margin: 0;"> <span id="LC176" class="line" lang="tex">anonymous (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunTy<span class="p">}</span>) or named (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>ForAllTy<span class="p">}</span>). See</span>
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<pre style="margin: 0;">-<span id="LC175" class="line" lang="tex"><span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [TyBinders]</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC177" class="line" lang="tex"><span class="nb" style="color: #0086b3;">\verb</span><span class="kp" style="font-weight: 600;">|</span><span class="sx" style="color: #d14;">Note [TyBinders]</span><span class="kp" style="font-weight: 600;">|</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC178" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC179" class="line" lang="tex">There are some invariants on types:</span>
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<pre style="margin: 0;"> <span id="LC180" class="line" lang="tex"><span class="nt" style="color: #000080;">\begin{itemize}</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -191,7 +193,7 @@ a term-level literal, but we are ignoring this distinction here.</td>
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<pre style="margin: 0;"> <span id="LC193" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> If <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">forall n. t</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a polymorphic type over a coercion variable (i.e.</span>
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<pre style="margin: 0;"> <span id="LC194" class="line" lang="tex"> <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">n</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a coercion variable), then <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">n</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must appear in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>;</span>
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<pre style="margin: 0;"> <span id="LC195" class="line" lang="tex"> otherwise it should be represented as a <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>FunTy<span class="p">}</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note</span>
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<pre style="margin: 0;">-<span id="LC194" class="line" lang="tex"> [Unused coercion variable in ForAllTy]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">types/TyCoRep.hs</span><span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC196" class="line" lang="tex"> [Unused coercion variable in ForAllTy]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.TyCo.Rep</span><span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC197" class="line" lang="tex"><span class="nt" style="color: #000080;">\end{itemize}</span></span>
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<pre style="margin: 0;"> <span id="LC198" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC199" class="line" lang="tex">Note that the use of the <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;"> ti </span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;"> i </span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> form and the <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> </span><span class="o" style="font-weight: 600;">-</span><span class="nb" style="color: #0086b3;">> t</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> form</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -216,14 +218,15 @@ Invariants on coercions:</td>
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<pre style="margin: 0;"> <span id="LC218" class="line" lang="tex">reflexive, use <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;"> gi </span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;"> i </span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, never <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;"><T> g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="nb" style="color: #0086b3;"> </span><span class="nv" style="color: #008080;">\ldots</span><span class="p">$</span>.</span>
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<pre style="margin: 0;"> <span id="LC219" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">T</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R <</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">gi</span><span class="o" style="font-weight: 600;">//</span><span class="nb" style="color: #0086b3;">i</span><span class="o" style="font-weight: 600;">/</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is never a type synonym, though it could</span>
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<pre style="margin: 0;"> <span id="LC220" class="line" lang="tex">be a type function.</span>
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<pre style="margin: 0;">-<span id="LC219" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Every non-reflexive coercion coerces between two distinct types.</span>
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<pre style="margin: 0;"> <span id="LC221" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The name in a coercion must be a term-level name (<span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>Id<span class="p">}</span>).</span>
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<pre style="margin: 0;"> <span id="LC222" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> The contents of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;"><t></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> must not be a coercion. In other words,</span>
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<pre style="margin: 0;"> <span id="LC223" class="line" lang="tex">the payload in a <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> must not be built with <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>CoercionTy<span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC224" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> If <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">forall z: h .g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a polymorphic coercion over a coercion variable</span>
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<pre style="margin: 0;"> <span id="LC225" class="line" lang="tex"> (i.e. <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">z</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a coercion variable), then <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">z</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> can only appear in</span>
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<pre style="margin: 0;">-<span id="LC225" class="line" lang="tex"> <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> and <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>GRefl<span class="p">}</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note[Unused coercion</span>
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<pre style="margin: 0;">-<span id="LC226" class="line" lang="tex"> variable in ForAllCo] in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span>types/Coercion.hs<span class="p">}}</span>.</span>
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<pre style="margin: 0;">+<span id="LC226" class="line" lang="tex"> <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Refl<span class="p">}</span> and <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>GRefl<span class="p">}</span> in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. See <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note [Unused coercion</span>
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<pre style="margin: 0;">+<span id="LC227" class="line" lang="tex"> variable in ForAllCo] in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span>GHC.Core.Coercion<span class="p">}}</span>.</span>
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<pre style="margin: 0;">+<span id="LC228" class="line" lang="tex"><span class="k" style="font-weight: 600;">\item</span> Prefer <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> </span><span class="o" style="font-weight: 600;">-</span><span class="nb" style="color: #0086b3;">></span><span class="p">_</span><span class="nb" style="color: #0086b3;">R g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> over <span class="p">$</span><span class="o" style="font-weight: 600;">[[(-</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">)</span><span class="p">_</span><span class="nb" style="color: #0086b3;">R g</span><span class="m" style="color: #099;">1</span><span class="nb" style="color: #0086b3;"> g</span><span class="m" style="color: #099;">2</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>; that is, we use <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>FunCo<span class="p">}</span>,</span>
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<pre style="margin: 0;">+<span id="LC229" class="line" lang="tex">never <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>TyConAppCo<span class="p">}</span>, for coercions over saturated uses of <span class="p">$</span><span class="o" style="font-weight: 600;">[[-</span><span class="nb" style="color: #0086b3;">></span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>
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<pre style="margin: 0;"> <span id="LC230" class="line" lang="tex"><span class="nt" style="color: #000080;">\end{itemize}</span></span>
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<pre style="margin: 0;"> <span id="LC231" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC232" class="line" lang="tex">The <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>UnivCo<span class="p">}</span> constructor takes several arguments: the two types coerced</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -327,7 +330,7 @@ synonym for $[[TYPE 'Unlifted]]$.</td>
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<pre style="margin: 0;"> <span id="LC330" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC331" class="line" lang="tex"><span class="k" style="font-weight: 600;">\section</span><span class="p">{</span>Contexts<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC332" class="line" lang="tex"></span>
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<pre style="margin: 0;">-<span id="LC330" class="line" lang="tex">The functions in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreLint.hs</span><span class="p">}</span> use the <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>LintM<span class="p">}</span> monad.</span>
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<pre style="margin: 0;">+<span id="LC333" class="line" lang="tex">The functions in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core.Lint</span><span class="p">}</span> use the <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>LintM<span class="p">}</span> monad.</span>
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<pre style="margin: 0;"> <span id="LC334" class="line" lang="tex">This monad contains a context with a set of bound variables <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">G</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and a set</span>
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<pre style="margin: 0;"> <span id="LC335" class="line" lang="tex">of bound labels <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. The formalism treats <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">G</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> and <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">D</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> as ordered</span>
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<pre style="margin: 0;"> <span id="LC336" class="line" lang="tex">lists, but GHC uses sets as its</span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -432,6 +435,15 @@ a dead id and for one-tuples. These checks are omitted here.</td>
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<pre style="margin: 0;"> <span id="LC435" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC436" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ottdefnlintType</span><span class="p">{}</span></span>
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<pre style="margin: 0;"> <span id="LC437" class="line" lang="tex"></span>
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<pre style="margin: 0;">+<span id="LC438" class="line" lang="tex">Note the contrast between <span class="k" style="font-weight: 600;">\ottdrulename</span><span class="p">{</span>Ty<span class="k" style="font-weight: 600;">\_</span>ForAllTy<span class="k" style="font-weight: 600;">\_</span>Tv<span class="p">}</span> and <span class="k" style="font-weight: 600;">\ottdrulename</span><span class="p">{</span>Ty<span class="k" style="font-weight: 600;">\_</span>ForAllTy<span class="k" style="font-weight: 600;">\_</span>Cv<span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC439" class="line" lang="tex">The former checks type abstractions, which are erased at runtime. Thus, the kind of the</span>
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<pre style="margin: 0;">+<span id="LC440" class="line" lang="tex">body must be the same as the kind of the <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">forall</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>-type (as these kinds indicate</span>
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<pre style="margin: 0;">+<span id="LC441" class="line" lang="tex">the runtime representation). The latter checks coercion abstractions, which are <span class="k" style="font-weight: 600;">\emph</span><span class="p">{</span>not<span class="p">}</span></span>
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<pre style="margin: 0;">+<span id="LC442" class="line" lang="tex">erased at runtime. Accordingly, the kind of a coercion abstraction is <span class="p">$</span><span class="o" style="font-weight: 600;">[[*]]</span><span class="p">$</span>. The</span>
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<pre style="margin: 0;">+<span id="LC443" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ottdrulename</span><span class="p">{</span>Ty<span class="k" style="font-weight: 600;">\_</span>ForAllTy<span class="k" style="font-weight: 600;">\_</span>Cv<span class="p">}</span> rule also asserts that the bound variable <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">x</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is</span>
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<pre style="margin: 0;">+<span id="LC444" class="line" lang="tex">actually used in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>: this is to uphold a representation invariant, documented</span>
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<pre style="margin: 0;">+<span id="LC445" class="line" lang="tex">with the grammar for types, Section~<span class="k" style="font-weight: 600;">\ref</span><span class="p">{</span>sec:types<span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC446" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC447" class="line" lang="tex"><span class="k" style="font-weight: 600;">\subsection</span><span class="p">{</span>Kind validity<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC448" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC449" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ottdefnlintKind</span><span class="p">{}</span></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -451,6 +463,19 @@ and \ottdrulename{Co\_CoVarCoRepr}.</td>
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<pre style="margin: 0;"> <span id="LC463" class="line" lang="tex">See Section~<span class="k" style="font-weight: 600;">\ref</span><span class="p">{</span>sec:tyconroles<span class="p">}</span> for more information about <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">tyConRolesX</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, and</span>
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<pre style="margin: 0;"> <span id="LC464" class="line" lang="tex">see Section~<span class="k" style="font-weight: 600;">\ref</span><span class="p">{</span>sec:axiom<span class="p">_</span>rules<span class="p">}</span> for more information about <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">coaxrProves</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>
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<pre style="margin: 0;"> <span id="LC465" class="line" lang="tex"></span>
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<pre style="margin: 0;">+<span id="LC466" class="line" lang="tex">The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">downgradeRole R g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> function returns a new coercion that relates the same</span>
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<pre style="margin: 0;">+<span id="LC467" class="line" lang="tex">types as <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> but with role <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">R</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>. It assumes that the role of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is a</span>
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<pre style="margin: 0;">+<span id="LC468" class="line" lang="tex">sub-role (<span class="p">$</span><span class="nv" style="color: #008080;">\leq</span><span class="p">$</span>) of <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">R</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>.</span>
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<pre style="margin: 0;">+<span id="LC469" class="line" lang="tex"></span>
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<pre style="margin: 0;">+<span id="LC470" class="line" lang="tex">The <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">almostDevoid x g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> function makes sure that, if <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">x</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> appears at all</span>
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471
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<pre style="margin: 0;">+<span id="LC471" class="line" lang="tex">in <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">g</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span>, it appears only within a <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>Refl<span class="p">}</span> or <span class="k" style="font-weight: 600;">\ctor</span><span class="p">{</span>GRefl<span class="p">}</span> node. See</span>
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<pre style="margin: 0;">+<span id="LC472" class="line" lang="tex">Section 5.8.5.2 of Richard Eisenberg's thesis for the details, or the ICFP'17</span>
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<pre style="margin: 0;">+<span id="LC473" class="line" lang="tex">paper ``A Specification for Dependently-Typed Haskell''. (Richard's thesis</span>
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<pre style="margin: 0;">+<span id="LC474" class="line" lang="tex">uses a technical treatment of this idea that's very close to GHC's implementation.</span>
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<pre style="margin: 0;">+<span id="LC475" class="line" lang="tex">The ICFP'17 paper approaches the same restriction in a different way, by using</span>
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<pre style="margin: 0;">+<span id="LC476" class="line" lang="tex"><span class="k" style="font-weight: 600;">\emph</span><span class="p">{</span>available sets<span class="p">}</span> <span class="p">$</span><span class="nv" style="color: #008080;">\Delta</span><span class="p">$</span>, as explained in Section 4.2 of that paper.</span>
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<pre style="margin: 0;">+<span id="LC477" class="line" lang="tex">We believe both technical approaches are equivalent in what coercions they accept.)</span>
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<pre style="margin: 0;">+<span id="LC478" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC479" class="line" lang="tex"><span class="k" style="font-weight: 600;">\subsection</span><span class="p">{</span>Name consistency<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC480" class="line" lang="tex"><span class="k" style="font-weight: 600;">\label</span><span class="p">{</span>sec:name<span class="p">_</span>consistency<span class="p">}</span></span>
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<pre style="margin: 0;"> <span id="LC481" class="line" lang="tex"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -463,7 +488,7 @@ There are three very similar checks for names, two performed as part of</td>
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<pre style="margin: 0;"> <span id="LC488" class="line" lang="tex"></span>
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489
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<pre style="margin: 0;"> <span id="LC489" class="line" lang="tex">The point of the extra checks on <span class="p">$</span><span class="o" style="font-weight: 600;">[[</span><span class="nb" style="color: #0086b3;">t'</span><span class="o" style="font-weight: 600;">]]</span><span class="p">$</span> is that a join point's type cannot be</span>
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<pre style="margin: 0;"> <span id="LC490" class="line" lang="tex">polymorphic in its return type; see <span class="k" style="font-weight: 600;">\texttt</span><span class="p">{</span>Note [The polymorphism rule of join</span>
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<pre style="margin: 0;">-<span id="LC466" class="line" lang="tex">points]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">coreSyn/CoreSyn.hs</span><span class="p">}</span>.</span>
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<pre style="margin: 0;">+<span id="LC491" class="line" lang="tex">points]<span class="p">}</span> in <span class="k" style="font-weight: 600;">\ghcfile</span><span class="p">{</span><span class="idiff left right">GHC.Core</span><span class="p">}</span>.</span>
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<pre style="margin: 0;"> <span id="LC492" class="line" lang="tex"></span>
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<pre style="margin: 0;"> <span id="LC493" class="line" lang="tex"><span class="k" style="font-weight: 600;">\ottdefnlintBinder</span><span class="p">{}</span></span>
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<pre style="margin: 0;"> <span id="LC494" class="line" lang="tex"></span>
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