Document Open Access Logo

Decidability of the Interval Temporal Logic ABB over the Natural Numbers

Authors Angelo Montanari, Gabriele Puppis, Pietro Sala, Guido Sciavicco



PDF
Thumbnail PDF

File

LIPIcs.STACS.2010.2488.pdf
  • Filesize: 320 kB
  • 12 pages

Document Identifiers

Author Details

Angelo Montanari
Gabriele Puppis
Pietro Sala
Guido Sciavicco

Cite AsGet BibTex

Angelo Montanari, Gabriele Puppis, Pietro Sala, and Guido Sciavicco. Decidability of the Interval Temporal Logic ABB over the Natural Numbers. In 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 5, pp. 597-608, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/LIPIcs.STACS.2010.2488

Abstract

In this paper, we focus our attention on the interval temporal logic of the Allen's relations ``meets'', ``begins'', and ``begun by'' ($\ABB$ for short), interpreted over natural numbers. We first introduce the logic and we show that it is expressive enough to model distinctive interval properties, such as accomplishment conditions, to capture basic modalities of point-based temporal logic, such as the until operator, and to encode relevant metric constraints. Then, we prove that the satisfiability problem for $\ABB$ over natural numbers is decidable by providing a small model theorem based on an original contraction method. Finally, we prove the EXPSPACE-completeness of the problem.
Keywords
  • Interval temporal logics
  • compass structures
  • decidability
  • complexity

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail