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An Automata-Theoretic Completeness Proof for Interval Temporal Logic

Extended Abstract
  • Ben C. Moszkowski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1853)

Abstract

Interval Temporal Logic (ITL) is a formalism for reasoning about time periods. To date no one has proved completeness of a relatively simple ITL deductive system supporting infinite time and permitting infinite sequential iteration comparable to ω-regular expressions. We have developed a complete axiomatization for such a version of quantified ITL over finite domains and can show completeness by representing finite-state automata in ITL and then translating ITL formulas into them. Here we limit ourselves to finite time. The full paper (and another conference paper [15]) extends the approach to infinite time.

Keywords

Temporal Logic Inference Rule Decision Procedure Regular Expression Axiom System 
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 2000

Authors and Affiliations

  • Ben C. Moszkowski
    • 1
  1. 1.Software Technology Research Lab.SERCentre Hawthorn BuildingDe Montfort UniversityLeicesterGreat Britain

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