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Abstract
Semi-Markov chains (SMCs) are continuous-time probabilistic transition systems where the residence time on states is governed by generic distributions on the positive real line. This paper shows the tight relation between the total variation distance on SMCs and their model checking problem over linear real-time specifications. Specifically, we prove that the total variation between two SMCs coincides with the maximal difference w.r.t. the likelihood of satisfying arbitrary MTL formulas or omega-languages recognized by timed automata. Computing this distance (i.e., solving its threshold problem) is NP-hard and its decidability is an open problem. Nevertheless, we propose an algorithm for approximating it with arbitrary precision.
Originalsprog | Engelsk |
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Titel | Foundations of Software Science and Computation Structures : 18th International Conference, FOSSACS 2015, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2015, London, UK, April 11-18, 2015, Proceedings |
Redaktører | Andrew Pitts |
Antal sider | 15 |
Vol/bind | 9034 |
Forlag | Springer |
Publikationsdato | 2015 |
Sider | 185-199 |
ISBN (Trykt) | 978-3-662-46677-3 |
ISBN (Elektronisk) | 978-3-662-46678-0 |
DOI | |
Status | Udgivet - 2015 |
Begivenhed | 18th International Conference on Foundations of Software Science and Computation Structures - Queen Mary University, London, Storbritannien Varighed: 11 apr. 2015 → 18 apr. 2015 Konferencens nummer: 18 |
Konference
Konference | 18th International Conference on Foundations of Software Science and Computation Structures |
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Nummer | 18 |
Lokation | Queen Mary University |
Land/Område | Storbritannien |
By | London |
Periode | 11/04/2015 → 18/04/2015 |
Navn | Lecture Notes in Computer Science |
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ISSN | 0302-9743 |
Fingeraftryk
Dyk ned i forskningsemnerne om 'On the Total Variation Distance of Semi-Markov Chains'. Sammen danner de et unikt fingeraftryk.Projekter
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