Article ID Journal Published Year Pages File Type
423635 Electronic Notes in Theoretical Computer Science 2008 17 Pages PDF
Abstract

Length-two string rewriting systems are length-preserving string rewriting systems that consist of length-two rules. This paper shows that confluence, termination, left-most termination and right-most termination are undecidable properties for length-two string rewriting systems. These results mean that these properties are undecidable for the class of linear term rewriting systems in which depth-two variables are allowed in both sides of rules.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics