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On Verification of Linear Occurrence Properties of Real-Time Systems
Author(s) -
Changil Choe,
Dang Van Hung
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.03.088
Subject(s) - dependability , computer science , probabilistic logic , automaton , monotonic function , class (philosophy) , probabilistic automaton , extension (predicate logic) , theoretical computer science , algorithm , computation , integer (computer science) , mathematics , programming language , artificial intelligence , mathematical analysis , software engineering
Duration Calculus of Weakly Monotonic Time (WDC) is an extension of DC to allow description of discrete processes where several steps of computation can occur at the same time point. In this paper, we introduce Linear Occurrence Invariants (LOI) using WDC and give an algorithm to check real-time automata for LOI by solving integer programming problems. LOI can be used effectively to specify system requirements in some cases including when the system is considered under the true synchrony assumption. We also extend WDC probabilistically to express dependability requirements of real-time systems and develop a technique to check deterministic probabilistic real-time automata for a class of probabilistic WDC formulas

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