有界闭连通域上的非线性循环终止性分析

Termination Analysis of Non-Linear Loops over Closed and Bounded Connected Domain

运用计算机代数中的Groebner基理论,对有界闭连通域上的单重非线性循环程序的终止性问题进行研究,建立了可计算的终止性判定算法.该算法将这类循环的终止性判定问题归约为有无不动点的判定问题.

Termination of a class of nonlinear loops is analyzed in this paper. Based on Groebner bases, determining the termination problem of this type of loop programs is equivalent to determining whether or not the iteration functions of the loops have fixed points in the domains specified by loop guards.