Environment assumptions for synthesis Conference Paper

Author(s): Chatterjee, Krishnendu; Henzinger, Thomas A; Jobstmann, Barbara
Title: Environment assumptions for synthesis
Title Series: LNCS
Abstract: The synthesis problem asks to construct a reactive finite-state system from an omega-regular specification. Initial specifications are often unrealizable, which means that there is no system that implements the specification. A common reason for unrealizability is that assumptions on the environment of the system are incomplete. We study the problem of correcting an unrealizable specification phi by computing an environment assumption psi such that the new specification psi -> phi is realizable. Our aim is to construct an assumption psi that constrains only the environment and is as weak as possible. We present a two-step algorithm for computing assumptions. The algorithm operates on the game graph that is used to answer the realizability question. First, we compute a safety assumption that removes a minimal set of environment edges from the graph. Second, we compute a liveness assumption that puts fairness conditions on some of the remaining environment edges. We show that the problem of finding a minimal set of fair edges is computationally hard, and we use probabilistic games to compute a locally minimal fairness assumption.
Conference Title: CONCUR: Concurrency Theory
Volume: 5201
Conference Dates: August 19-22, 2008
Conference Location: Toronto, Canada
ISBN: 978-3-95977-017-0
Publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik  
Location: Berlin, Heidelberg
Date Published: 2008-07-30
Start Page: 147
End Page: 161
DOI: 10.1007/978-3-540-85361-9_14
Open access: no
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
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