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Partial Automata and Finitely Generated Congruences: An Extension of Nerode’s Theorem

  • D. Kozen
Chapter
Part of the Progress in Computer Science and Applied Logic book series (PCS, volume 12)

Abstract

Let T Σ, be the set of ground terms over a finite ranked alphabet Σ. We define partial automata on T Σ and prove that the finitely generated congruences on T Σ are in one-to-one correspondence (up to isomorphism) with the finite partial automata on T Σ with no inaccessible and no inessential states. We give an application in term rewriting: every ground term rewrite system has a canonical equivalent system that can be constructed in polynomial time.

Keywords

Finite Index Finite Automaton Ground Term Tree Automaton Partial Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • D. Kozen
    • 1
  1. 1.Computer Science DepartmentCornell UniversityIthacaUSA

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