A really temporal logic

  • Authors:
  • R. Alur;T. A. Henzinger

  • Affiliations:
  • Dept. of Comput. Sci., Stanford Univ., CA, USA;Dept. of Comput. Sci., Stanford Univ., CA, USA

  • Venue:
  • SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1989

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Abstract

A real-time temporal logic for the specification of reactive systems is introduced. The novel feature of the logic, TPTL, is the adoption of temporal operators as quantifiers over time variables; every modality binds a variable to the time(s) it refers to. TPTL is demonstrated to be both a natural specification language and a suitable formalism for verification and synthesis. A tableau-based decision procedure and model-checking algorithm for TPTL are presented. Several generalizations of TPTL are shown to be highly undecidable.