diff -r 8fe3e66abf0c -r c22b85994e17 src/HOLCF/ssum0.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOLCF/ssum0.thy Wed Jan 19 17:35:01 1994 +0100 @@ -0,0 +1,54 @@ +(* Title: HOLCF/ssum0.thy + ID: $Id$ + Author: Franz Regensburger + Copyright 1993 Technische Universitaet Muenchen + +Strict sum +*) + +Ssum0 = Cfun3 + + +(* new type for strict sum *) + +types "++" 2 (infixr 10) + +arities "++" :: (pcpo,pcpo)term + +consts + Ssum :: "(['a,'b,bool]=>bool)set" + Sinl_Rep :: "['a,'a,'b,bool]=>bool" + Sinr_Rep :: "['b,'a,'b,bool]=>bool" + Rep_Ssum :: "('a ++ 'b) => (['a,'b,bool]=>bool)" + Abs_Ssum :: "(['a,'b,bool]=>bool) => ('a ++ 'b)" + Isinl :: "'a => ('a ++ 'b)" + Isinr :: "'b => ('a ++ 'b)" + Iwhen :: "('a->'c)=>('b->'c)=>('a ++ 'b)=> 'c" + +rules + + Sinl_Rep_def "Sinl_Rep == (%a.%x y p.\ +\ (~a=UU --> x=a & p))" + + Sinr_Rep_def "Sinr_Rep == (%b.%x y p.\ +\ (~b=UU --> y=b & ~p))" + + Ssum_def "Ssum =={f.(? a.f=Sinl_Rep(a))|(? b.f=Sinr_Rep(b))}" + + (*faking a type definition... *) + (* "++" is isomorphic to Ssum *) + + Rep_Ssum "Rep_Ssum(p):Ssum" + Rep_Ssum_inverse "Abs_Ssum(Rep_Ssum(p)) = p" + Abs_Ssum_inverse "f:Ssum ==> Rep_Ssum(Abs_Ssum(f)) = f" + + (*defining the abstract constants*) + Isinl_def "Isinl(a) == Abs_Ssum(Sinl_Rep(a))" + Isinr_def "Isinr(b) == Abs_Ssum(Sinr_Rep(b))" + + Iwhen_def "Iwhen(f)(g)(s) == @z.\ +\ (s=Isinl(UU) --> z=UU)\ +\ &(!a. ~a=UU & s=Isinl(a) --> z=f[a])\ +\ &(!b. ~b=UU & s=Isinr(b) --> z=g[b])" + +end +