Axiomatizing the equational theory of regular tree languages

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9 Citations (Scopus)

Abstract

We show that a finite set of equation schemes together with the least fixed point rule gives a complete axiomatization of the valid identities of regular tree languages. This result is a generalization of Kozen's axiomatization of the equational theory of regular word languages.

Original languageEnglish
Pages (from-to)189-213
Number of pages25
JournalJournal of Logic and Algebraic Programming
Volume79
Issue number2
DOIs
Publication statusPublished - Feb 1 2010

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Keywords

  • Axiomatization
  • Complex algebras
  • Regular tree language

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Logic
  • Computational Theory and Mathematics

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