src/HOL/ex/Eval_examples.thy
author huffman
Thu, 12 Apr 2007 03:37:30 +0200
changeset 22641 a5dc96fad632
parent 22525 d929a900584c
child 22804 d3c23b90c6c6
permissions -rw-r--r--
moved nonstandard limit stuff from Lim.thy into new theory HLim.thy

(*  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 *}

ML {* Eval.term "(Suc 2 + 1) * 4" *}
ML {* Eval.term "(Suc 2 + Suc 0) * Suc 3" *}
ML {* Eval.term "[]::nat list" *}
ML {* Eval.term "fst ([]::nat list, Suc 0) = []" *}

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

ML {* Eval.term "Shift (Cair (4::nat) [Suc 0])" *}

end