Matching Modulo Associativity and Idempotency Is NP-Complete

  • Authors:
  • Ondrej Klíma;Jirí Srba

  • Affiliations:
  • -;-

  • Venue:
  • MFCS '00 Proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2000

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Abstract

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].