A space-efficient on-the-fly algorithm for real-time model checking Conference Paper


Author(s): Henzinger, Thomas A; Kupferman, Orna; Vardi, Moshe Y
Title: A space-efficient on-the-fly algorithm for real-time model checking
Title Series: LNCS
Affiliation
Abstract: In temporal-logic model checking, we verify the correctness of a program with respect to a desired behavior by checking whether a structure that models the program satisfies a temporal-logic formula that specifies the behavior. The main practical limitation of model checking is caused by the size of the state space of the program, which grows exponentially with the number of concurrent components. This problem, known as the state-explosion problem, becomes more difficult when we consider real-time model checking, where the program and the specification involve quantitative references to time. In particular, when use timed automata to describe real-time programs and we specify timed behaviors in the logic TCTL, a real-time extension of the temporal logic CTL with clock variables, then the state space under consideration grows exponentially not only with the number of concurrent components, but also with the number of clocks and the length of the clock constraints used in the program and the specification. Two powerful methods for coping with the state-explosion problem are on-the-fly and space-efficient model checking. In on-the-fly model checking, we explore only the portion of the state space of the program whose exploration is essential for determining the satisfaction of the specification. In space-efficient model checking, we store in memory the minimal information required, preferring to spend time on reconstructing information rather than spend space on storing it. In this work we develop an automata-theoretic approach to TCTL model checking that combines both methods. We suggest, for the first time, a PSPACE on-the-fly model-checking algorithm for TCTL.
Conference Title: CONCUR: Concurrency Theory
Volume: 1119
Conference Dates: August 26–29, 1996
Conference Location: Pisa, Italy
ISBN: 978-3-95977-017-0
Publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik  
Date Published: 1996-01-01
Start Page: 514
End Page: 529
DOI: 10.1007/3-540-61604-7_73
Notes: 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, and by the ARPA grant NAG2-892.
Open access: no
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
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