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@inproceedings{1319887, author = {Forejt, Vojtěch and Krčál, Jan and Křetínský, Jan}, address = {Suva, Fiji}, booktitle = {LPAR 2015}, doi = {http://dx.doi.org/10.1007/978-3-662-48899-7_12}, keywords = {frequency LTL; quantitative logics; MDP controller synthesis; automata characterization}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Suva, Fiji}, isbn = {978-3-662-48898-0}, pages = {162-177}, publisher = {Springer}, title = {Controller Synthesis for MDPs and Frequency LTL\GU}, year = {2015} }
TY - JOUR ID - 1319887 AU - Forejt, Vojtěch - Krčál, Jan - Křetínský, Jan PY - 2015 TI - Controller Synthesis for MDPs and Frequency LTL\GU PB - Springer CY - Suva, Fiji SN - 9783662488980 KW - frequency LTL KW - quantitative logics KW - MDP controller synthesis KW - automata characterization N2 - Quantitative extensions of temporal logics have recently attracted significant attention. In this work, we study frequency LTL (fLTL), an extension of LTL which allows to speak about frequencies of events along an execution. Such an extension is particularly useful for probabilistic systems that often cannot fulfil strict qualitative guarantees on the behaviour. It has been recently shown that controller synthesis for Markov decision processes and fLTL is decidable when all the bounds on frequencies are 1. As a step towards a complete quantitative solution, we show that the problem is decidable for the fragment fLTL\GU, where U does not occur in the scope of G (but still F can). Our solution is based on a novel translation of such quantitative formulae into equivalent deterministic automata. ER -
FOREJT, Vojtěch, Jan KRČÁL a Jan KŘETÍNSKÝ. Controller Synthesis for MDPs and Frequency LTL$\backslash$GU. In \textit{LPAR 2015}. Suva, Fiji: Springer, 2015, s.~162-177. ISBN~978-3-662-48898-0. Dostupné z: https://dx.doi.org/10.1007/978-3-662-48899-7\_{}12.
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