Normal forms and proofs in combined modal and temporal logics

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Abstract

In this paper we present a framework for the combination of modal and temporal logic. This framework allows us to combine different normal forms, in particular, a separated normal form for temporal logic and a first-order clausal form for modal logics. The calculus of the framework consists of temporal resolution rules and standard first-order resolution rules.

We show that the calculus provides a sound, complete, and terminating inference systems for arbitrary combinations of subsystems of multi-modal S5 with linear, temporal logic.
Original languageUndefined
Number of pages6
Publication statusPublished - 2000

Publication series

NameLecture notes in computer science
Volume1794

Keywords

  • Modal logic
  • Temporal logic
  • Inference rule
  • linear temporal logic
  • Predicate symbol

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