src/HOL/SPARK/Examples/Liseq/liseq/liseq_length.rls
author wenzelm
Mon, 20 May 2024 15:43:51 +0200
changeset 80182 29f2b8ff84f3
parent 41561 d1318f3c86ba
permissions -rw-r--r--
proper support for "isabelle update -D DIR": avoid accidental exclusion of select_dirs (amending e5dafe9e120f);
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 14:30:13.02*/
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
     9
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    10
                        /*procedure Liseq.Liseq_length*/
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 liseq_length_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
liseq_length_rules(1): integer__size >= 0 may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    19
liseq_length_rules(2): integer__first may_be_replaced_by -2147483648.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    20
liseq_length_rules(3): integer__last may_be_replaced_by 2147483647.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    21
liseq_length_rules(4): integer__base__first may_be_replaced_by -2147483648.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    22
liseq_length_rules(5): integer__base__last may_be_replaced_by 2147483647.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    23
liseq_length_rules(6): a__index__subtype__1__first >= integer__first may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    24
liseq_length_rules(7): a__index__subtype__1__last <= integer__last may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    25
liseq_length_rules(8): a__index__subtype__1__first <= 
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    26
     a__index__subtype__1__last may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    27
liseq_length_rules(9): a__index__subtype__1__last >= integer__first may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    28
liseq_length_rules(10): a__index__subtype__1__first <= integer__last may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    29
liseq_length_rules(11): l__index__subtype__1__first >= integer__first may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    30
liseq_length_rules(12): l__index__subtype__1__last <= integer__last may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    31
liseq_length_rules(13): l__index__subtype__1__first <= 
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    32
     l__index__subtype__1__last may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    33
liseq_length_rules(14): l__index__subtype__1__last >= integer__first may_be_deduced.
d1318f3c86ba Added new SPARK verification environment.
berghofe
parents:
diff changeset
    34
liseq_length_rules(15): l__index__subtype__1__first <= integer__last may_be_deduced.