The Church-Rosser property for ground term-rewriting systems is decidable
Theoretical Computer Science
Information and Computation
The reachability and joinability problems for right-ground term-rewriting systems
Journal of Information Processing
Handbook of theoretical computer science (vol. B)
String-rewriting systems
Some undecidability results for finitely generated Thue congruences on a two-letter alphabet
Fundamenta Informaticae
Fast Decision Procedures Based on Congruence Closure
Journal of the ACM (JACM)
Variations on the Common Subexpression Problem
Journal of the ACM (JACM)
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
The Reachability Problem for Ground TRS and Some Extensions
TAPSOFT '89/CAAP '89 Proceedings of the International Joint Conference on Theory and Practice of Software Development, Volume 1: Advanced Seminar on Foundations of Innovative Software Development I and Colloquium on Trees in Algebra and Programming
Polynomial Time Termination and Constraint Satisfaction Tests
RTA '93 Proceedings of the 5th International Conference on Rewriting Techniques and Applications
Complexity of finitely presented algebras
STOC '77 Proceedings of the ninth annual ACM symposium on Theory of computing
Exponential space complete problems for Petri nets and commutative semigroups (Preliminary Report)
STOC '76 Proceedings of the eighth annual ACM symposium on Theory of computing
The reachability and related decision problems for monadic and semi-constructor TRSs
Information Processing Letters
The reachability and related decision problems for monadic and semi-constructor TRSs
Information Processing Letters
Component-based security policy design with colored Petri nets
Semantics and algebraic specification
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In this paper we initiate a study of polynomial-time reductions for some basic decision problems of rewrite systems. We then give a polynomial-time algorithm for the unique-normal-form property of ground systems for the first time. Next we prove undecidability of several problems for a fixed string rewriting system using our reductions. Finally, we prove the decidability of confluence for commutative semi-thue systems. The Confluence and Unique-normal-form property are shown Expspace-hard for commutative semi-thue systems. We also show that there is a family of string rewrite systems for which the word problem is trivially decidable but confluence is undecidable, and we show a linear equational theory with decidable word problem but undecidable linear equational matching problem.