Computing Conditional Probabilities in Markovian Models Efficiently
Publikation: Beitrag in Buch/Konferenzbericht/Sammelband/Gutachten › Beitrag in Konferenzband › Beigetragen › Begutachtung
Beitragende
Abstract
The fundamentals of probabilistic model checking for Markovian models and temporal properties have been studied extensively in the past 20 years. Research on methods for computing conditional probabilities for temporal properties under temporal conditions is, however, comparably rare. For computing conditional probabilities or expected values under ω-regular conditions in Markov chains, we introduce a new transformation of Markov chains that incorporates the effect of the condition into the model. For Markov decision processes, we show that the task to compute maximal reachability probabilities under reachability conditions is solvable in polynomial time, while it was conjectured to be computationally hard. Using adaptions of known automata-based methods, our algorithm can be generalized for computing the maximal conditional probabilities for ω-regular events under ω-regular conditions. The feasibility of our algorithms is studied in two benchmark examples.
Details
Originalsprache | Englisch |
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Titel | Tools and Algorithms for the Construction and Analysis of Systems |
Redakteure/-innen | Erika Ábrahám, Klaus Havelund |
Herausgeber (Verlag) | Springer, Berlin [u. a.] |
Seiten | 515-530 |
Seitenumfang | 16 |
ISBN (Print) | 978-3-642-54861-1 |
Publikationsstatus | Veröffentlicht - 2014 |
Peer-Review-Status | Ja |
Publikationsreihe
Reihe | Lecture Notes in Computer Science, Volume 8413 |
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ISSN | 0302-9743 |
Konferenz
Titel | European Joint Conferences on Theory and Practice of Software 2014 |
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Kurztitel | ETAPS 2014 |
Veranstaltungsnummer | 17 |
Dauer | 5 - 13 April 2014 |
Webseite | |
Bekanntheitsgrad | Internationale Veranstaltung |
Ort | Grenoble World Trade Center |
Stadt | Grenoble |
Land | Frankreich |
Externe IDs
Scopus | 84900534492 |
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ORCID | /0000-0002-5321-9343/work/142236741 |
ORCID | /0000-0003-1724-2586/work/165453605 |
Schlagworte
DFG-Fachsystematik nach Fachkollegium
Fächergruppen, Lehr- und Forschungsbereiche, Fachgebiete nach Destatis
Schlagwörter
- conditional probabilities, Markovian Models