Title
Verifying pCTL model checking
Abstract
Probabilistic model checkers like PRISM check the satisfiability of probabilistic CTL (pCTL) formulas against discrete-time Markov chains. We prove soundness and completeness of their underlying algorithm in Isabelle/HOL. We define Markov chains given by a transition matrix and formalize the corresponding probability measure on sets of paths. The formalization of pCTL formulas includes unbounded cumulated rewards.
Year
DOI
Venue
2012
10.1007/978-3-642-28756-5_24
TACAS
Keywords
Field
DocType
pctl model checking,corresponding probability measure,probabilistic ctl,pctl formula,cumulated reward,probabilistic model checker,markov chain,underlying algorithm,transition matrix,discrete-time markov chain
HOL,Discrete mathematics,Model checking,Stochastic matrix,Computer science,Markov chain,Probability measure,Probabilistic CTL,Theoretical computer science,Soundness,Completeness (statistics)
Conference
Volume
ISSN
Citations 
7214
0302-9743
2
PageRank 
References 
Authors
0.39
15
2
Name
Order
Citations
PageRank
Johannes Hölzl111613.23
Tobias Nipkow23056232.28