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Deciding Monodic Fragments by Temporal Resolution

  • Ullrich Hustadt
  • Boris Konev
  • Renate A. Schmidt
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3632)

Abstract

In this paper we study the decidability of various fragments of monodic first-order temporal logic by temporal resolution. We focus on two resolution calculi, namely, monodic temporal resolution and fine-grained temporal resolution. For the first, we state a very general decidability result, which is independent of the particular decision procedure used to decide the first-order part of the logic. For the second, we introduce refinements using orderings and selection functions. This allows us to transfer existing results on decidability by resolution for first-order fragments to monodic first-order temporal logic and obtain new decision procedures. The latter is of immediate practical value, due to the availability of TeMP, an implementation of fine-grained temporal resolution.

Keywords

Temporal Resolution Temporal Logic Inference Rule Decision Procedure Predicate Symbol 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ullrich Hustadt
    • 1
  • Boris Konev
    • 1
  • Renate A. Schmidt
    • 2
  1. 1.Department of Computer ScienceUniversity of LiverpoolUK
  2. 2.School of Computer ScienceUniversity of ManchesterUK

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