An Elementary Expressively Complete Temporal Logic for Mazurkiewicz Traces

  • Authors:
  • Paul Gastin;Madhavan Mukund

  • Affiliations:
  • -;-

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

In contrast to the classical setting of sequences, no temporal logic has yet been identified over Mazurkiewicz traces that is equivalent to first-order logic over traces and yet admits an elementary decision procedure. In this paper, we describe a local temporal logic over traces that is expressively complete and whose satisfiability problem is in Pspace. Contrary to the situation for sequences, past modalities are essential for such a logic. A somewhat unexpected corollary is that first-order logic with three variables is expressively complete for traces.