src/HOL/ex/Eval_Examples.thy
author bulwahn
Fri Oct 21 11:17:14 2011 +0200 (2011-10-21)
changeset 45231 d85a2fdc586c
parent 45170 7dd207fe7b6e
child 56927 4044a7d1720f
permissions -rw-r--r--
replacing code_inline by code_unfold, removing obsolete code_unfold, code_inline del now that the ancient code generator is removed
     1 (* Author: Florian Haftmann, TU Muenchen *)
     2 
     3 header {* Small examples for evaluation mechanisms *}
     4 
     5 theory Eval_Examples
     6 imports Complex_Main
     7 begin
     8 
     9 text {* evaluation oracle *}
    10 
    11 lemma "True \<or> False" by eval
    12 lemma "Suc 0 \<noteq> Suc 1" by eval
    13 lemma "[] = ([] :: int list)" by eval
    14 lemma "[()] = [()]" by eval
    15 lemma "fst ([] :: nat list, Suc 0) = []" by eval
    16 
    17 text {* normalization *}
    18 
    19 lemma "True \<or> False" by normalization
    20 lemma "Suc 0 \<noteq> Suc 1" by normalization
    21 lemma "[] = ([] :: int list)" by normalization
    22 lemma "[()] = [()]" by normalization
    23 lemma "fst ([] :: nat list, Suc 0) = []" by normalization
    24 
    25 text {* term evaluation *}
    26 
    27 value "(Suc 2 + 1) * 4"
    28 value [code] "(Suc 2 + 1) * 4"
    29 value [nbe] "(Suc 2 + 1) * 4"
    30 
    31 value "(Suc 2 + Suc 0) * Suc 3"
    32 value [code] "(Suc 2 + Suc 0) * Suc 3"
    33 value [nbe] "(Suc 2 + Suc 0) * Suc 3"
    34 
    35 value "nat 100"
    36 value [code] "nat 100"
    37 value [nbe] "nat 100"
    38 
    39 value "(10::int) \<le> 12"
    40 value [code] "(10::int) \<le> 12"
    41 value [nbe] "(10::int) \<le> 12"
    42 
    43 value "max (2::int) 4"
    44 value [code] "max (2::int) 4"
    45 value [nbe] "max (2::int) 4"
    46 
    47 value "of_int 2 / of_int 4 * (1::rat)"
    48 value [code] "of_int 2 / of_int 4 * (1::rat)"
    49 value [nbe] "of_int 2 / of_int 4 * (1::rat)"
    50 
    51 value "[] :: nat list"
    52 value [code] "[] :: nat list"
    53 value [nbe] "[] :: nat list"
    54 
    55 value "[(nat 100, ())]"
    56 value [code] "[(nat 100, ())]"
    57 value [nbe] "[(nat 100, ())]"
    58 
    59 text {* a fancy datatype *}
    60 
    61 datatype ('a, 'b) foo =
    62     Foo "'a\<Colon>order" 'b
    63   | Bla "('a, 'b) bar"
    64   | Dummy nat
    65 and ('a, 'b) bar =
    66     Bar 'a 'b
    67   | Blubb "('a, 'b) foo"
    68 
    69 value "Bla (Bar (4::nat) [Suc 0])"
    70 value [code] "Bla (Bar (4::nat) [Suc 0])"
    71 value [nbe] "Bla (Bar (4::nat) [Suc 0])"
    72 
    73 end