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[Axiom-developer] [Sandbox Curry] (new)


From: Bill Page
Subject: [Axiom-developer] [Sandbox Curry] (new)
Date: Thu, 07 Jul 2005 05:28:35 -0500

Changes http://page.axiom-developer.org/zope/mathaction/SandboxCurry/diff
--
Using the compiler we can write:
\begin{axiom}
)abbrev package MAPPK3C MappingPackage3c
++ Description: Higher-order Currying operations.
MappingPackage3c(A:SetCategory, B:SetCategory, C:SetCategory):_
  MPcat == MPdef where

    MPcat ==  with
        curryR:   ((A,B)->C) -> (B->(A ->C))
        curryL:   ((A,B)->C) -> (A->(B ->C))

    MPdef == add
        MappingPackage3(A, B, C)

        fabc: (A,B)->C

        curryR(fabc) == curryRight(fabc,#1)
        curryL(fabc) == curryLeft(fabc,#1)

\end{axiom}


\begin{axiom}
plus:(INT,INT)->INT
plus(x,y) == x+y
plusX:=curryL(plus)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/address@hidden




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