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Model checking restricted sets of timed paths

par Markey, Nicolas N.;Raskin, Jean-François
Référence Theoretical computer science, 358, 2-3, page (273-292)
Publication Publié, 2006-08

Article révisé par les pairs

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Résumé :

In this paper, we study the complexity of model-checking formulas of four important real-time logics (TPTL, MTL, MITL, and TCTL) over restricted sets of timed paths. The classes of restricted sets of timed paths that we consider are (i) a single finite (or ultimately periodic) timed path, (ii) an infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a region graph, (iii) an infinite set of finite (or infinite) timed paths defined by a finite (or ultimately periodic) path in a zone graph. Several results are quite negative: TPTL and MTL remain undecidable along region- and zone-paths. On the other hand, we obtained PTIME algorithms for model-checking TCTL along a region path, and for MTL along a single timed path. © 2006 Elsevier B.V. All rights reserved.