Length-two string rewriting systems are length preserving string rewriting systems that consist of length-two rules. This paper shows that both of termination and confluence for l...
We present a novel proof of Toyama's famous modularity of confluence result for term rewriting systems. Apart from being short and intuitive, the proof is modular itself in th...
We introduce parameterized rewrite systems for describing infinite families of finite string rewrite systems depending upon non-negative integer parameters, as well as ways to reas...
We prove that the properties of reachability, joinability and confluence are undecidable for flat TRSs. Here, a TRS is flat if the heights of the left and right-hand sides of each ...