Difficult Configurations—On the Complexity of LTrL

  • Authors:
  • Igor Walukiewicz

  • Affiliations:
  • Institute of Informatics, Warsaw University, Warsaw, Poland 02-097

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 2005

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Abstract

The complexity of LTrL, a global linear time temporal logic over traces is investigated. The logic is global because the truth of a formula is evaluated in a global state, also called configuration. The logic is shown to be non-elementary with the main reason for this complexity being the nesting of until operators in formulas. The fragment of the logic without the until operator is shown to be EXPSPACE-hard.