More Past Glories

  • Authors:
  • Mark Reynolds

  • Affiliations:
  • -

  • Venue:
  • LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 2000

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Abstract

We continue in the same vein as Lichtenstein, Pnueli and Zuck in 驴The Glory of the Past驴, demonstrating the advantages of including past-time operators in using temporal logic in computer science. A normal form for temporal formulas, based on a simple combination of past formulas, is arrived at via syntactic rewrites and is shown to be a useful alternative to automata-based temporal reasoning. The use of the normal form in providing a complete axiomatization for PCTL* (i.e. CTL* with past connectives) is sketched.