An Automata-Theoretic Completeness Proof for Interval Temporal Logic

  • Authors:
  • Ben C. Moszkowski

  • Affiliations:
  • -

  • Venue:
  • ICALP '00 Proceedings of the 27th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2000

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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.