1 /*********************************************************/ 2 /*Proof Rule Declarations*/ 3 /*Examiner Pro Edition, Version 9.1.0, Build Date 20101119, Build 19039*/ 4 /*Copyright (C) 2010 Altran Praxis Limited, Bath, U.K.*/ 5 /*********************************************************/ 6 7 8 /*DATE : 29-NOV-2010 14:30:17.95*/ 9 10 /*function Sqrt.Isqrt*/ 11 12 13rule_family isqrt_rules: 14 X requires [X:any] & 15 X <= Y requires [X:ire, Y:ire] & 16 X >= Y requires [X:ire, Y:ire]. 17 18isqrt_rules(1): integer__size >= 0 may_be_deduced. 19isqrt_rules(2): integer__first may_be_replaced_by -2147483648. 20isqrt_rules(3): integer__last may_be_replaced_by 2147483647. 21isqrt_rules(4): integer__base__first may_be_replaced_by -2147483648. 22isqrt_rules(5): integer__base__last may_be_replaced_by 2147483647. 23isqrt_rules(6): natural__size >= 0 may_be_deduced. 24isqrt_rules(7): natural__first may_be_replaced_by 0. 25isqrt_rules(8): natural__last may_be_replaced_by 2147483647. 26isqrt_rules(9): natural__base__first may_be_replaced_by -2147483648. 27isqrt_rules(10): natural__base__last may_be_replaced_by 2147483647. 28