diff -r c035d01a7e77 -r 475856793715 src/HOL/Predicate_Compile_Examples/IMP_4.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/HOL/Predicate_Compile_Examples/IMP_4.thy Tue Sep 07 11:51:53 2010 +0200 @@ -0,0 +1,37 @@ +theory IMP_4 +imports Predicate_Compile_Quickcheck +begin + +subsection {* IMP *} + +text {* + In this example, the state is a list of integers and the commands are Skip, Ass, Seq, IF and While. +*} + +types + var = nat + state = "int list" + +datatype com = + Skip | + Ass var "int" | + Seq com com | + IF "state list" com com | + While "state list" com + +inductive exec :: "com => state => state => bool" where + "exec Skip s s" | + "exec (Ass x e) s (s[x := e])" | + "exec c1 s1 s2 ==> exec c2 s2 s3 ==> exec (Seq c1 c2) s1 s3" | + "s \ set b ==> exec c1 s t ==> exec (IF b c1 c2) s t" | + "s \ set b ==> exec c2 s t ==> exec (IF b c1 c2) s t" | + "s \ set b ==> exec (While b c) s s" | + "s1 \ set b ==> exec c s1 s2 ==> exec (While b c) s2 s3 ==> exec (While b c) s1 s3" + +lemma + "exec c s s' ==> exec (Seq c c) s s'" + nitpick (* nitpick fails here! *) + quickcheck[generator = predicate_compile_wo_ff, size=2, iterations=10, expect=counterexample] +oops + +end \ No newline at end of file