(* ID: $Id$
Author: Florian Haftmann, TU Muenchen
*)
header {* Small examples for evaluation mechanisms *}
theory Eval_examples
imports Eval
begin
text {* evaluation oracle *}
lemma "True \<or> False" by eval
lemma "\<not> (Suc 0 = Suc 1)" by eval
text {* term evaluation *}
value (overloaded) "(Suc 2 + 1) * 4"
value (overloaded) "(Suc 2 + 1) * 4"
value (overloaded) "(Suc 2 + Suc 0) * Suc 3"
value (overloaded) "[]::nat list"
value (overloaded) "fst ([]::nat list, Suc 0) = []"
value (overloaded) "nat 100"
value (overloaded) "[(nat 100, ())]"
value (overloaded) "int 10 \<le> 12"
text {* a fancy datatype *}
datatype ('a, 'b) bair =
Bair "'a\<Colon>order" 'b
| Shift "('a, 'b) cair"
| Dummy unit
and ('a, 'b) cair =
Cair 'a 'b
value (overloaded) "Shift (Cair (4::nat) [Suc 0])"
end