Equivalences for fair Kripke structures

  • Adnan Aziz
  • Vigyan Singhal
  • Felice Balarin
  • Robert K. Brayton
  • Alberto L. Sangiovanni-Vincentelli
Conference paper

DOI: 10.1007/3-540-58201-0_82

Part of the Lecture Notes in Computer Science book series (LNCS, volume 820)
Cite this paper as:
Aziz A., Singhal V., Balarin F., Brayton R.K., Sangiovanni-Vincentelli A.L. (1994) Equivalences for fair Kripke structures. In: Abiteboul S., Shamir E. (eds) Automata, Languages and Programming. ICALP 1994. Lecture Notes in Computer Science, vol 820. Springer, Berlin, Heidelberg

Abstract

We extend the notion of bisimulation to Kripke structures with fairness. We define equivalences that preserve fairness and are akin to bisimulation. Specifically we define an equivalence and show that it is complete in the sense that it is the coarsest equivalence that preserves the logic CTL* interpreted with respect to the fair paths. We show that the addition of fairness might cause two Kripke structures, which can be distinguished by a CTL* formula, to become indistinguishable by any CTL formula. We also define another weaker equivalence that is the weakest equivalence preserving CTL interpreted on the fair paths. As a consequence of our proof, we also obtain characterizations of states in the fair structure in terms of CTL* and CTL formulae.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Adnan Aziz
    • 1
  • Vigyan Singhal
    • 1
  • Felice Balarin
    • 1
  • Robert K. Brayton
    • 1
  • Alberto L. Sangiovanni-Vincentelli
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

Personalised recommendations