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Logics for Unordered Trees with Data Constraints on Siblings

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Language and Automata Theory and Applications (LATA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8977))

Abstract

We study counting monadic second-order logics (CMso) for unordered data trees. Our objective is to enhance this logic with data constraints for comparing string data values attached to sibling edges of a data tree. We show that CMso satisfiability becomes undecidable when adding data constraints between siblings that can check the equality of factors of data values. For more restricted data constraints that can only check the equality of prefixes, we show that it becomes decidable, and propose a related automaton model with good complexities. This restricted logic is relevant to applications such as checking well-formedness properties of semi-structured databases and file trees. Our decidability results are obtained by compilation of CMso to automata for unordered trees, where both are enhanced with data constraints in a novel manner.

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Author information

Authors and Affiliations

  1. University Lille 1, Lille, France

    Adrien Boiret

  2. Links (INRIA Lille & LIFL, UMR CNRS 8022), Lille, France

    Adrien Boiret, Vincent Hugot & Joachim Niehren

  3. INRIA, Sophia-antipolis, France

    Vincent Hugot & Joachim Niehren

  4. University Paris Diderot Sorbonne Paris Cit PPS UMR 7126, CNRS, 75205, Paris, France

    Ralf Treinen

Authors
  1. Adrien Boiret
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  2. Vincent Hugot
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  3. Joachim Niehren
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  4. Ralf Treinen
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Corresponding author

Correspondence to Vincent Hugot .

Editor information

Editors and Affiliations

  1. Rovira i Virgili University, Tarragona, Spain

    Adrian-Horia Dediu

  2. Nice Sophia Antipolis University, Sophia Antipolis, France

    Enrico Formenti

  3. Mathematical Linguistics, Rovira i Virgili University, Tarragona, Spain

    Carlos Martín-Vide

  4. Justus-Liebig-Universität, Gießen, Germany

    Bianca Truthe

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Boiret, A., Hugot, V., Niehren, J., Treinen, R. (2015). Logics for Unordered Trees with Data Constraints on Siblings. In: Dediu, AH., Formenti, E., Martín-Vide, C., Truthe, B. (eds) Language and Automata Theory and Applications. LATA 2015. Lecture Notes in Computer Science(), vol 8977. Springer, Cham. https://doi.org/10.1007/978-3-319-15579-1_13

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  • DOI: https://doi.org/10.1007/978-3-319-15579-1_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15578-4

  • Online ISBN: 978-3-319-15579-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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