On the Representation of Timed Polyhedra
Identifieur interne : 002109 ( Istex/Checkpoint ); précédent : 002108; suivant : 002110On the Representation of Timed Polyhedra
Auteurs : Olivier Bournez [France] ; Oded Maler [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: In this paper we investigate timed polyhedra, i.e. polyhedra which are finite unions of full dimensional simplices of a special kind. Such polyhedra form the basis of timing analysis and in particular of verification tools based on timed automata. We define a representation scheme for these polyhedra based on their extreme vertices, and show that this compact representation scheme is canonical for all (convex and non-convex) polyhedra in any dimension. We then develop relatively efficient algorithms for membership, boolean operations, projection and passage of time for this representation.
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DOI: 10.1007/3-540-45022-X_66
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