Abstract. We extend the termination proof methods based on reduction orderings to higher-order rewriting systems `a la Nipkow using higher-order pattern matching for firing rules,...
In this paper we use the decreasing diagrams technique to show that a left-linear term rewrite system R is confluent if all its critical pairs are joinable and the critical pair st...
We enhance the dependency pair method in order to prove termination using recursive structure analysis in simply-typed term rewriting systems, which is one of the computational mod...
Huet and L´evy (1979) showed that needed reduction is a normalizing strategy for orthogonal (i.e., left-linear and non-overlapping) term rewriting systems. In order to obtain a de...
Abstract. We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify the polynomial runtime comple...