Linear-Time Model Checking Branching Processes [article]

Stefan Kiefer and Pavel Semukhin and Cas Widdershoven
2021 arXiv   pre-print
(Multi-type) branching processes are a natural and well-studied model for generating random infinite trees. Branching processes feature both nondeterministic and probabilistic branching, generalizing both transition systems and Markov chains (but not generally Markov decision processes). We study the complexity of model checking branching processes against linear-time omega-regular specifications: is it the case almost surely that every branch of a tree randomly generated by the branching
more » ... s satisfies the omega-regular specification? The main result is that for LTL specifications this problem is in PSPACE, subsuming classical results for transition systems and Markov chains, respectively. The underlying general model-checking algorithm is based on the automata-theoretic approach, using unambiguous B\"uchi automata.
arXiv:2107.01687v1 fatcat:fxmzqdhdtnholcnkujs5wsfib4