一类具有多项式保护的程序的终止

Bin Wu, L. Shen, Zhongqin Bi, Zhenbing Zeng
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引用次数: 4

摘要

确定程序的终止是计算科学的一项基本任务。本文利用矩阵的特征值对其幂进行符号分析,给出了一类具有非线性保护和线性赋值的环规划的终止性证明方法。线性赋值循环的终止仅取决于定义该循环赋值矩阵的特征值,其模块大于1。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Termination of a Class of the Program with Polynomial Guards
Determining the termination of programs is a basic task in computing science. By analyzing the powers of a matrix symbolically using its eigenvalues, this paper presents a method to prove termination of a class of loop programs with nonlinear guards and linear assignments.The termination of a linear assignment loop is only decided by the eigen values, whose module is greater than one, of the matrix defining the loop assignments.
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