Preserving Regularity via Logic Programs

This book is concerned with the presentation of a general translation of term rewrite systems to logic programs such that basic rewriting derivations become logic deductions. In particular, this work is a review of a recent research paper on this very subject written by S. Limet and G. Salzer in which they present an algorithm that imple-ments such a translation scheme for certain classes of term rewrite systems. Basically, their algorithm takes as input a term rewrite system that satisfies some syntactical restrictions and a regular tree language, transforms both inputs to logic programs and combines the resulting programs to a single logic program that allows to infer regularity preservation of the original term rewrite system. The transformation of certain term rewrite systems results in so-called cs-programs which were originally studied in the context of constraint systems and tree tuple languages. By applying known results of cs-programs new classes of regularity preserving term rewrite systems are obtained.