Titlebook: Rewriting Techniques and Applications; 9th International Co Tobias Nipkow Conference proceedings 1998 Springer-Verlag Berlin Heidelberg 199

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Decidable approximations of sets of descendants and sets of normal forms,chniques. In the context of rewriting logic, a Term Rewriting System is a program, and a normal form is a result of the program. Thus, approximations of sets of descendants and sets of normal forms provide tools for analysing a few properties of programs: we show how to compute a superset of results

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Algorithms and reductions for rewriting problems,gorithm for Unique-normal-form property of ground systems for the first time. Next we prove undecidability of these problems for a fixed string rewriting system using our reductions. Finally, we prove partial decidability results for Confluence of commutative semi-thue systems. The Confluence and Un

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The decidability of simultaneous rigid ,-unification with one variable,mplies that the ?*??* fragment of intuitionistic logic with equality is decidable. Together with a previous result regarding the undecidability of the ??-fragment, we obtain ., .. It is also proved that SREU with one variable and a constant bound on the number of rigid equations is P-complete.

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Ordering constraints over feature trees expressed in second-order monadic logic,es. We investigate decidability and complexity questions for fragments of the first-order theory of FT≤. It is well-known that the first-order theory of FT is decidable and that several of its fragments can be decided in quasi-linear time, including the satisfiability problem of FT and its entailmen

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Decidable approximations of sets of descendants and sets of normal forms,rategy. The main technical contribution of the paper is the construction of an approximation automaton which recognises a superset of the set of normal forms of terms in a set ., w.r.t. a Term Rewriting System ..

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