src/HOL/ex/Eval_examples.thy
author haftmann
Wed, 30 May 2007 21:09:16 +0200
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(*  ID:         $Id$
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    Author:     Florian Haftmann, TU Muenchen
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*)
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header {* Small examples for evaluation mechanisms *}
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theory Eval_examples
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imports Eval
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begin
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text {* evaluation oracle *}
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lemma "True \<or> False" by eval
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lemma "\<not> (Suc 0 = Suc 1)" by eval
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text {* term evaluation *}
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value (overloaded) "(Suc 2 + 1) * 4"
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value (overloaded) "(Suc 2 + 1) * 4"
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value (overloaded) "(Suc 2 + Suc 0) * Suc 3"
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value (overloaded) "[]::nat list"
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value (overloaded) "fst ([]::nat list, Suc 0) = []"
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value (overloaded) "nat 100"
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value (overloaded) "[(nat 100, ())]"
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value (overloaded) "int 10 \<le> 12"
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text {* a fancy datatype *}
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datatype ('a, 'b) bair =
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    Bair "'a\<Colon>order" 'b
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  | Shift "('a, 'b) cair"
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  | Dummy unit
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and ('a, 'b) cair =
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    Cair 'a 'b
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value (overloaded) "Shift (Cair (4::nat) [Suc 0])"
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end