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On the Expressivity and Complexity of Quantitative Branching-Time Temporal Logics

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Abstract

We investigate extensions of CTL allowing to express quantitative requirements about an abstract notion of time in a simple discrete-time framework, and study the expressive power of several relevant logics.

When only subscripted modalities are used, polynomial-time model checking is possible even for the largest logic we consider, while introducing freeze quantifiers leads to a complexity blow-up.

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Author information

Authors and Affiliations

  1. Lab. Spécification, & Vérification, ENS de Cachan & CNRS UMR 8643, 61, av. Pdt. Wilson, 94235, Cachan Cedex, France

    F. Laroussinie, Ph. Schnoebelen & M. Turuani

Authors
  1. F. Laroussinie
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  2. Ph. Schnoebelen
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  3. M. Turuani
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Editor information

Editors and Affiliations

  1. ETH Zurich, Institute of Computational Science, CH-8092 Zurich and, Swiss Institute of Bioinformatics, Switzerland

    Gaston H. Gonnet

  2. Pedeciba Informática, Casilla de Correo 16120, Distrito 6, Montevideo, Uruguay

    Alfredo Viola

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© 2000 Springer-Verlag Berlin Heidelberg

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Laroussinie, F., Schnoebelen, P., Turuani, M. (2000). On the Expressivity and Complexity of Quantitative Branching-Time Temporal Logics. In: Gonnet, G.H., Viola, A. (eds) LATIN 2000: Theoretical Informatics. LATIN 2000. Lecture Notes in Computer Science, vol 1776. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719839_43

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  • DOI: https://doi.org/10.1007/10719839_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67306-4

  • Online ISBN: 978-3-540-46415-0

  • eBook Packages: Springer Book Archive

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