src/HOL/ex/Eval_examples.thy
author haftmann
Thu, 26 Apr 2007 13:33:12 +0200
changeset 22804 d3c23b90c6c6
parent 22525 d929a900584c
child 23134 6cd88d27f600
permissions -rw-r--r--
tuned
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
22525
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     1
(*  ID:         $Id$
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     2
    Author:     Florian Haftmann, TU Muenchen
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     3
*)
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     4
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     5
header {* Small examples for evaluation mechanisms *}
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     6
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     7
theory Eval_examples
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     8
imports Eval
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
     9
begin
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    10
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    11
text {* evaluation oracle *}
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    12
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    13
lemma "True \<or> False" by eval
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    14
lemma "\<not> (Suc 0 = Suc 1)" by eval
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    15
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    16
text {* term evaluation *}
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    17
22804
haftmann
parents: 22525
diff changeset
    18
value (overloaded) "(Suc 2 + 1) * 4"
haftmann
parents: 22525
diff changeset
    19
value (overloaded) "(Suc 2 + 1) * 4"
haftmann
parents: 22525
diff changeset
    20
value (overloaded) "(Suc 2 + Suc 0) * Suc 3"
haftmann
parents: 22525
diff changeset
    21
value (overloaded) "[]::nat list"
haftmann
parents: 22525
diff changeset
    22
value (overloaded) "fst ([]::nat list, Suc 0) = []"
22525
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    23
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    24
text {* a fancy datatype *}
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    25
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    26
datatype ('a, 'b) bair =
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    27
    Bair "'a\<Colon>order" 'b
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    28
  | Shift "('a, 'b) cair"
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    29
  | Dummy unit
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    30
and ('a, 'b) cair =
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    31
    Cair 'a 'b
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    32
22804
haftmann
parents: 22525
diff changeset
    33
value (overloaded) "Shift (Cair (4::nat) [Suc 0])"
22525
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    34
d929a900584c cleaned up Library/ and ex/
haftmann
parents:
diff changeset
    35
end