Specific denotations for pure types
Jake McArthur
jake at pikewerks.com
Mon Mar 23 12:34:03 EDT 2009
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Conal Elliott wrote:
| The question I'm asking is this: Assuming compositional semantics, can
| [[Bool]] be this simple & customary three-value domain in the presence
| of an implementation-dependent [[Int]] (given that Int expressions can
| play a non-trivial role in Bool expressions)?
As I understand it, your question might be reworded like this: If we can
compose values of type (MachineInfo -> Int) to create a value of type
(MachineInfo -> Bool), does that mean Bool is dependent on MachineInfo?
To simplify the question, I would like to rephrase it further to ask
whether the ability to construct any value of type (MachineInfo -> Bool)
means that Bool is dependent on MachineInfo. My (uneducated) reaction is
that this does not mean that Bool is dependent on MachineInfo any more
than the ability to construct a value of type (forall a. a -> Bool)
means that Bool is dependent on everything.
- - Jake
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