Minimization of Probabilistic Models of Programs

Verfasser / Beitragende:
[A. Mironov, S. Frenkel]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/3(2015-12-01), 381-412
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2611-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2611-2 
245 0 0 |a Minimization of Probabilistic Models of Programs  |h [Elektronische Daten]  |c [A. Mironov, S. Frenkel] 
520 3 |a In this paper, we consider a problem of reduction of probabilistic transition systems (PTS) in order to reduce the complexity of model checking of such systems. The problem of model checking of a PTS is to calculate truth values of formulas of the probabilistic temporal logic PCTL in an initial state of the PTS. We introduce the concept of equivalence of states of a PTS and present an algorithm for removing equivalent states. A result of this algorithm is a PTS such that all of its properties expressed by formulas of PCTL coincide with those of the original PTS. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Mironov  |D A.  |u The Institute of Informatics Problems of the Russian Academy of Sciences, Moscow, Russia  |4 aut 
700 1 |a Frenkel  |D S.  |u The Institute of Informatics Problems of the Russian Academy of Sciences, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/3(2015-12-01), 381-412  |x 1072-3374  |q 211:3<381  |1 2015  |2 211  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2611-2  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2611-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Mironov  |D A.  |u The Institute of Informatics Problems of the Russian Academy of Sciences, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Frenkel  |D S.  |u The Institute of Informatics Problems of the Russian Academy of Sciences, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/3(2015-12-01), 381-412  |x 1072-3374  |q 211:3<381  |1 2015  |2 211  |o 10958