单重线性循环程序的终止性问题已被广泛研究,而有关非线性循环终止性判定的结果甚少.利用不动点理论研究了n维单重非线性循环的终止性问题,并建立了相应的符号判定算法.同时,对几类特殊循环的终止性进行了分析,得出了相应的结论.
The termination of linear loops has been studied extensively,but there are few results collected on termination of nonlinear loops.Through the fixed point theorem,this paper presents an approach to the decision of termination of a class of nonlinear loops.In addition,for a particular class of loops,the paper gives a condition under which the termination of the loops is decidable.