Oh! I think there's a misunderstanding here. I'm not talking about MachineInfo as visible in the types. I'm talking about Int itself having a MachineInfo-dependent semantic model (something like MachineInfo -> Z, where MachineInfo, ->, and Z are *semantic* types, not Haskell types).
Making my question more specific: Can (>) on Int be given a compositional semantics, i.e. a semantics as [[Int]] -> [[Int]] -> [[Bool]], where [[Int]] = MachineInfo -> Z and [[Bool]] = {bottom,false,true} (with the usual ordering)? - Conal On Mon, Mar 23, 2009 at 9:34 AM, Jake McArthur <j...@pikewerks.com> wrote: > -----BEGIN PGP SIGNED MESSAGE----- > Hash: SHA1 > > 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 > -----BEGIN PGP SIGNATURE----- > Version: GnuPG v1.4.9 (GNU/Linux) > Comment: Using GnuPG with Mozilla - http://enigmail.mozdev.org > > iEYEARECAAYFAknHufsACgkQye5hVyvIUKnahACgq6JZLcSePAJ4RLylPyz3X2DC > NwMAoLQilWKYfUf12BJhUle52bP/zM2J > =NN7V > -----END PGP SIGNATURE----- >
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