Fair Derivations in Monodic Temporal Reasoning

  • Michel Ludwig
  • Ullrich Hustadt
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5663)

Abstract

Ordered fine-grained resolution with selection is a sound and complete resolution-based calculus for monodic first-order temporal logic. The inference rules of the calculus are based on standard resolution between different types of temporal clauses on one hand and inference rules with semi-decidable applicability conditions that handle eventualities on the other hand. In this paper we illustrate how the combination of these two different types of inference rules can lead to unfair derivations in practice. We also present an inference procedure that allows us to construct fair derivations and prove its refutational completeness. We conclude with some experimental results obtained with the implementation of the new procedure in the theorem prover TSPASS.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Michel Ludwig
    • 1
  • Ullrich Hustadt
    • 1
  1. 1.Department of Computer ScienceUniversity of LiverpoolUnited Kingdom

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