Re: [open-axiom-devel] this domain %

2011-12-05 Thread Gabriel Dos Reis
Bill Page writes: | On Mon, Dec 5, 2011 at 6:23 PM, Gabriel Dos Reis wrote: | > Bill Page writes: | > ... | > | Oddly, this variant: | > | | > |   MonadCat(A : SetCategory, M: SetCategory -> SetCategory): Category == with | > |         join: M M A -> M A | > | | > | gives a different result: |

Re: [open-axiom-devel] [fricas-devel] Re: this domain %

2011-12-05 Thread Bill Page
On Mon, Dec 5, 2011 at 6:23 PM, Gabriel Dos Reis wrote: > Bill Page writes: > ... > | Oddly, this variant: > | > |   MonadCat(A : SetCategory, M: SetCategory -> SetCategory): Category == with > |         join: M M A -> M A > | > | gives a different result: > | > |    >> System error: > |    Contro

Re: [open-axiom-devel] [fricas-devel] Re: this domain %

2011-12-05 Thread Gabriel Dos Reis
Bill Page writes: [...] | We really want | |)abbrev category MONADC MonadCat |MonadCat(T:Type, M:Type->Type):Category == with | join: M M T -> M T As far as I can tell, that compiles fine in OpenAxiom. | This is equivalent in this context to what actual appears in my | OpenAxi

Re: [open-axiom-devel] [fricas-devel] Re: this domain %

2011-12-05 Thread Bill Page
Martin, On Mon, Dec 5, 2011 at 4:47 AM, you wrote: >> > Another idea that occurred to me would be to have an equivalent to the >> > Haskell typeclass. Like a higher order (non-concrete) category, say a >> > category where all the function parameters and returns are only >> > specified in terms of