单分支线性约束循环程序的终止性分析

Termination Analysis of Single-path Linear Constraint Loops

秩函数法是循环终止性分析的主要方法,秩函数的存在表明了循环程序是可终止的.针对单分支线性约束循环程序,提出一种方法对此类循环的终止性进行分析.基于增函数法向空间的计算,该方法将原程序空间上的秩函数计算问题归结为其子空间上的秩函数计算问题.实验结果表明,该方法能有效验证现有文献中大部分循环程序的终止性.

The ranking function method is the main method for the termination analysis of loops,and it indicates that loop programs can be terminated.In view of single-path linear constraint loop programs,this study presents a method to analyze the termination of the loops.Based on the calculation of the normal space of the increasing function,this method considers the calculation of the ranking function in the original program space as that in the subspace.Experimental results show that the method can effectively verify the termination of most loop programs in the existing literature.