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用Dixon结式产生非线性循环不变式

余伟 冯勇

四川大学学报:工程科学版2012,Vol.44Issue(4):115-121,7.
四川大学学报:工程科学版2012,Vol.44Issue(4):115-121,7.

用Dixon结式产生非线性循环不变式

Non-linear Loop Invariant Generation Using Dxion Resultant

余伟 1冯勇1

作者信息

  • 1. 中国科学院成都计算机应用研究所,四川成都610041
  • 折叠

摘要

Abstract

TO solve the partial correct problem of loop program, an algorithm was presented to generate non-linear loop invariant by computing Dixon resultant based on algebraic transition system and constraint system. The loop program was firstly transformed to an al- gebraic transition system, then a polynomial set was constructed from algebraic transition relation and invariant template, and a con- straint system w. r. t template variable was obtained by computing Dixon resultant. Finally the constraint system was resolved to get in- variant. The algorithm was effective to whether single-path or multi-path programs through case study.

关键词

循环不变式/Dixon结式/模板/约束

Key words

loop invariant/Dixon resultant/template/constraints

分类

计算机与自动化

引用本文复制引用

余伟,冯勇..用Dixon结式产生非线性循环不变式[J].四川大学学报:工程科学版,2012,44(4):115-121,7.

基金项目

国家“973”计划资助项目 ()

国家自然科学基金面上项目 ()

国家自然科学基金重大研究计划资助项目 ()

四川大学学报:工程科学版

OA北大核心CSCDCSTPCD

2096-3246

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