Towards First-Order Temporal Resolution

  • Authors:
  • Anatoli Degtyarev;Michael Fisher

  • Affiliations:
  • -;-

  • Venue:
  • KI '01 Proceedings of the Joint German/Austrian Conference on AI: Advances in Artificial Intelligence
  • Year:
  • 2001

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Abstract

In this paper we show how to extend clausal temporal resolution to the ground eventuality fragment of monodic first-order temporal logic, which has recently been introduced by Hodkinson, Wolter and Zakharyaschev. While a finite Hilbert-like axiomatization of complete monodic first order temporal logic was developed by Wolter and Zakharyaschev, we propose a temporal resolutionbased proof system which reduces the satisfiability problem for ground eventuality monodic first-order temporal formulae to the satisfiability problem for formulae of classical first-order logic.