NP-completeness of the set unification and matching problems
Proc. of the 8th international conference on Automated deduction
Unification under associativity and idempotence is of type nullary
Journal of Automated Reasoning
The theory of idempotent semigroups is of unification type zero
Journal of Automated Reasoning
String-rewriting systems
Handbook of logic in artificial intelligence and logic programming
Unification in the union of disjoint equational theories: combining decision procedures
Journal of Symbolic Computation
Makanin's Algorithm for Word Equations - Two Improvements and a Generalization
IWWERT '90 Proceedings of the First International Workshop on Word Equations and Related Topics
Pattern Equations and Equations with Stuttering
SOFSEM '99 Proceedings of the 26th Conference on Current Trends in Theory and Practice of Informatics on Theory and Practice of Informatics
Unification Modulo Associativity and Idempotency Is NP-complete
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
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We show that AI-matching (AI denotes the theory of an associative and idempotent function symbol), which is solving matching word equations in free idempotent semigroups, is NP-complete. Note: full version of the paper appears as [8].