The complexity of the temporal logic with "until" over general linear time

  • Authors:
  • M. Reynolds

  • Affiliations:
  • School of Information Technology, Murdoch University, Murdoch, Perth, Western Australia 6150, Australia

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2003

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Abstract

It is shown that the decision problem for the temporal logic with the strict until operator over general linear time is PSPACE-complete. This shows that it is no harder to reason with arbitrary linear orderings than with discrete linear time temporal logics. New techniques are used to give a PSPACE procedure for the logic.