Computer Science – Logic in Computer Science
Scientific paper
2008-05-10
LMCS 4 (2:9) 2008
Computer Science
Logic in Computer Science
28 pages
Scientific paper
10.2168/LMCS-4(2:9)2008
We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model-checking problems for that model based on extensions of classical temporal logics with cost constraints on modalities. We prove that, under the assumption that the model has only one clock, model-checking this class of models against the logic WCTL, CTL with cost-constrained modalities, is PSPACE-complete (while it has been shown undecidable as soon as the model has three clocks). We also prove that model-checking WMTL, LTL with cost-constrained modalities, is decidable only if there is a single clock in the model and a single stopwatch cost variable (i.e., whose slopes lie in {0,1}).
Bouyer Patricia
Larsen Kim G.
Markey Nicolas
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