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cs.FLSep 28, 2012
24
citations (OpenAlex)
authors
  • Mikołaj Bojańczyk
  • Luc Segoufin
  • Howard Straubing
institutions
  • Boston College
  • École Normale Supérieure Paris-Saclay
  • Institut national de recherche en sciences et technologies du numérique
  • Laboratoire Spécification et Vérification
  • University of Warsaw
arXiv abstractPDF
paper

Piecewise testable tree languages

arXiv:1208.5129 · doi:10.2168/LMCS-8(3:26)2012

Abstract

This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Sigma_1 sentences. This is a tree extension of the Simon theorem, which says that a string language can be defined by a boolean combination of Sigma_1 sentences if and only if its syntactic monoid is J-trivial.

References in corpus (2)

  • Tree Languages Defined in First-Order Logic with One Quantifier Alternation
  • Two-Way Unary Temporal Logic over Trees

Cited by in corpus (9)

  • The height of piecewise-testable languages and the complexity of the logic of subwords
  • A Characterization for Decidable Separability by Piecewise Testable Languages
  • Partially Ordered Automata and Piecewise Testability
  • Piecewise Testable Languages and Nondeterministic Automata
  • Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages
  • On the State Complexity of the Reverse of R- and J-trivial Regular Languages
  • Wreath Products of Distributive Forest Algebras
  • Deciding definability in FO2(<h,<v) on trees
  • EF+EX Forest Algebras
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