AXIOMATIZATIONS OF TEMPORAL LOGICS ON TRACE SYSTEMS

  • Authors:
  • Wojciech Penczek

  • Affiliations:
  • (Partly supported by the KBN grant No. 8 Tl1C 029 08) Institute of Computer Science, Polish Academy of Sciences, Warsaw, ul. Ordona 21, Poland email: penczek@ipipan.waw.pl

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 1996

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Abstract

Partial order temporal logics interpreted on trace systems have been shown not to have finitary complete axiomatizations due to the fact that the complexity of their decidability problem is in II 1 1. This paper gives infinitary complete proof systems for several temporal logics on trace systems e.g. Computation Tree Logic with past operators and an essential subset of Interleaving Set Temporal Logic.