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@article{630845,
author = {Esparza, Javier and Kučera, Antonín and Mayr, Richard},
article_number = {1-2},
keywords = {pushdown automata; Markov chains; probabilistic model checking},
language = {eng},
issn = {1860-5974},
journal = {Logical Methods in Computer Science},
title = {Model Checking Probabilistic Pushdown Automata},
url = {http://www.lmcs-online.org/},
volume = {2},
year = {2006}
}
TY - JOUR
ID - 630845
AU - Esparza, Javier - Kučera, Antonín - Mayr, Richard
PY - 2006
TI - Model Checking Probabilistic Pushdown Automata
JF - Logical Methods in Computer Science
VL - 2
IS - 1-2
SP - 1-31
EP - 1-31
SN - 18605974
KW - pushdown automata
KW - Markov chains
KW - probabilistic model checking
UR - http://www.lmcs-online.org/
N2 - We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem. We prove that both qualitative and quantitative model checking for this class of properties and pPDA is decidable. Then we show that model checking for the qualitative fragment of the logic PCTL and pPDA is also decidable. Moreover, we develop an error-tolerant model checking algorithm for PCTL and the subclass of stateless pPDA. Finally, we consider the class of omega-regular properties and show that both qualitative and quantitative model checking for pPDA is decidable.
ER -
ESPARZA, Javier, Antonín KUČERA and Richard MAYR. Model Checking Probabilistic Pushdown Automata. \textit{Logical Methods in Computer Science}. 2006, vol.~2, 1-2, p.~1-31. ISSN~1860-5974.
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