src/HOL/SPARK/Examples/Sqrt/sqrt/isqrt.rls
author wenzelm
Mon, 13 Apr 2020 22:08:14 +0200
changeset 71751 abf3e80bd815
parent 41561 d1318f3c86ba
permissions -rw-r--r--
tuned NEWS;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
41561
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     1
           /*********************************************************/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     2
                           /*Proof Rule Declarations*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     3
    /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     4
             /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     5
           /*********************************************************/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     6
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     7
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     8
                        /*DATE : 29-NOV-2010 14:30:17.95*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     9
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    10
                            /*function Sqrt.Isqrt*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    11
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    12
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    13
rule_family isqrt_rules:
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    14
     X      requires [X:any] &
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    15
     X <= Y requires [X:ire, Y:ire] &
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    16
     X >= Y requires [X:ire, Y:ire].
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    17
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    18
isqrt_rules(1): integer__size >= 0 may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    19
isqrt_rules(2): integer__first may_be_replaced_by -2147483648.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    20
isqrt_rules(3): integer__last may_be_replaced_by 2147483647.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    21
isqrt_rules(4): integer__base__first may_be_replaced_by -2147483648.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    22
isqrt_rules(5): integer__base__last may_be_replaced_by 2147483647.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    23
isqrt_rules(6): natural__size >= 0 may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    24
isqrt_rules(7): natural__first may_be_replaced_by 0.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    25
isqrt_rules(8): natural__last may_be_replaced_by 2147483647.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    26
isqrt_rules(9): natural__base__first may_be_replaced_by -2147483648.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    27
isqrt_rules(10): natural__base__last may_be_replaced_by 2147483647.