The common fragment of ACTL and LTL

  • Authors:
  • Mikołaj Bojańczyk

  • Affiliations:
  • Warsaw University

  • Venue:
  • FOSSACS'08/ETAPS'08 Proceedings of the Theory and practice of software, 11th international conference on Foundations of software science and computational structures
  • Year:
  • 2008
  • ACTL ∩ LTL synthesis

    CAV'12 Proceedings of the 24th international conference on Computer Aided Verification

Quantified Score

Hi-index 0.00

Visualization

Abstract

The paper explores the relationship between tree languages definable in LTL, CTL, and ACTL, the fragment of CTL where only universal path quantification is allowed. The common fragment of LTL and ACTL is shown to be strictly smaller than the common fragment of LTL and CTL. Furthermore, an algorithm is presented for deciding if an LTL formula can be expressed in ACTL. This algorithm uses an effective characterization of level 3/2 of the concatenation hierarchy for infinite words, also a new result.