Fair simulation Conference Paper


Author(s): Henzinger, Thomas A; Kupferman, Orna; Rajamani, Sriram K
Title: Fair simulation
Title Series: LNCS
Affiliation
Abstract: The simulation preorder for labeled transition systems is defined locally as a game that relates states with their immediate successor states. Liveness assumptions about transition systems are typically modeled using fairness constraints. Existing notions of simulation for fair transition systems, however, are not local, and as a result, many appealing properties of the simulation preorder are lost. We extend the local definition of simulation to account for fairness: system S fairly simulates system I iff in the simulation game, there is a strategy that matches with each fair computation of I a fair computation of S. Our definition enjoys a fully abstract semantics and has a logical characterization: S fairly simulates I iff every fair computation tree embedded in the unrolling of I can be embedded also in the unrolling of S or, equivalently, iff every Fair-AFMC formula satisfied by I is satisfied also by S (AFMC is the universal fragment of the alternation-free -calculus). The locality of the definition leads us to a polynomial-time algorithm for checking fair simulation for finite-state systems with weak and strong fairness constraints. Finally, fair simulation implies fair trace-containment, and is therefore useful as an efficientlycomputable local criterion for proving linear-time abstraction hierarchies.
Conference Title: CONCUR: Concurrency Theory
Volume: 1243
Conference Dates: July 1–4, 1997
Conference Location: Warsaw, Poland
ISBN: 978-3-95977-017-0
Publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik  
Date Published: 1997-01-01
Start Page: 273
End Page: 287
DOI: 10.1007/3-540-63141-0_19
Notes: This research was supported in part by the ONR YIP award N00014-95-1-0520, by the NSF CAREER award CCR-9501708, by the NSF grant CCR-9504469, by the AFOSR contract F49620-93-1-0056, by the ARO MURI grant DAAH-04-96-1-0341, by the ARPA grant NAG2-892, and by the SRC contract 95-DC-324.036.
Open access: no
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
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