--- a/src/HOL/UNITY/PPROD.thy Wed Nov 25 15:54:41 1998 +0100
+++ b/src/HOL/UNITY/PPROD.thy Wed Nov 25 15:55:00 1998 +0100
@@ -7,7 +7,7 @@
Also merging of state sets.
*)
-PPROD = Union +
+PPROD = Union + Comp +
constdefs
(*Cartesian product of two relations*)
@@ -22,6 +22,9 @@
*)
constdefs
+ fst_act :: "(('a*'b) * ('a*'b)) set => ('a*'a) set"
+ "fst_act act == (%((x,y),(x',y')). (x,x')) `` act"
+
Lcopy :: "'a program => ('a*'b) program"
"Lcopy F == mk_program (Init F Times UNIV,
(%act. act RTimes Id) `` Acts F)"
@@ -29,12 +32,15 @@
lift_act :: "['a, ('b*'b) set] => (('a=>'b) * ('a=>'b)) set"
"lift_act i act == {(f,f'). EX s'. f' = f(i:=s') & (f i, s') : act}"
+ drop_act :: "['a, (('a=>'b) * ('a=>'b)) set] => ('b*'b) set"
+ "drop_act i act == (%(f,f'). (f i, f' i)) `` act"
+
lift_prog :: "['a, 'b program] => ('a => 'b) program"
"lift_prog i F == mk_program ({f. f i : Init F}, lift_act i `` Acts F)"
(*products of programs*)
- PPROD :: ['a set, 'b program] => ('a => 'b) program
- "PPROD I F == JN i:I. lift_prog i F"
+ PPROD :: ['a set, 'a => 'b program] => ('a => 'b) program
+ "PPROD I F == JN i:I. lift_prog i (F i)"
syntax
"@PPROD" :: [pttrn, 'a set, 'b set] => ('a => 'b) set ("(3PPI _:_./ _)" 10)