[Haskell-cafe] Lambda Calculus: Bound and Free formal definitions
Gregg Reynolds
dev at mobileink.com
Thu Dec 30 04:40:17 CET 2010
On Wed, Dec 29, 2010 at 9:22 PM, Mark Spezzano <mark.spezzano at chariot.net.au
> wrote:
> Duh, Sorry. Yes, there was a typo
>
> the second one should read
>
> If E is a combination E1 E2 then X is bound in E if and only if X is bound
> in E1 or is bound in E2.
>
Seems odd. I recommend you always work from at least three different texts.
Here's Hindley and
Seldin<http://www.amazon.com/Lambda-Calculus-Combinators-Introduction-Roger-Hindley/dp/0521898854/ref=dp_ob_title_bk>
:
"An occurrence of a variable x in a term P is called
- *bound* if it is in the scope of a \x in P (NB: using \ as lambda)
- *bound and binding* iff it is the x in \x
- *free* otherwise"
The tricky question is: bound to what, exactly?
-Gregg
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