Equivalence checking 40 years after: A review of bisimulation tools

H Garavel, F Lang - A Journey from Process Algebra via Timed Automata …, 2022 - Springer
Equivalence checking is a formal verification approach that consists in proving that two
programs or models are related modulo some equivalence relation, or that one is included …

Probabilistic bisimulation: Naturally on distributions

H Hermanns, J Krčál, J Křetínský - International Conference on …, 2014 - Springer
In contrast to the usual understanding of probabilistic systems as stochastic processes,
recently these systems have also been regarded as transformers of probabilities. In this …

When equivalence and bisimulation join forces in probabilistic automata

Y Feng, L Zhang - International Symposium on Formal Methods, 2014 - Springer
Probabilistic automata were introduced by Rabin in 1963 as language acceptors. Two
automata are equivalent if and only if they accept each word with the same probability. On …

The quest for minimal quotients for probabilistic automata

C Eisentraut, H Hermanns, J Schuster, A Turrini… - … 2013, Held as Part of the …, 2013 - Springer
One of the prevailing ideas in applied concurrency theory and verification is the concept of
automata minimization with respect to strong or weak bisimilarity. The minimal automata can …

[HTML][HTML] Polynomial time decision algorithms for probabilistic automata

A Turrini, H Hermanns - Information and computation, 2015 - Elsevier
Deciding in an efficient way weak probabilistic bisimulation in the context of probabilistic
automata is an open problem for about a decade. In this work we close this problem by …

Deciding bisimilarities on distributions

C Eisentraut, H Hermanns, J Krämer, A Turrini… - … Evaluation of Systems …, 2013 - Springer
Probabilistic automata (PA) are a prominent compositional concurrency model. As a way to
justify property-preserving abstractions, in the last years, bisimulation relations over …

[HTML][HTML] Axiomatising infinitary probabilistic weak bisimilarity of finite-state behaviours

N Fischer, R van Glabbeek - Journal of Logical and Algebraic Methods in …, 2019 - Elsevier
In concurrency theory, weak bisimilarity is often used to relate processes exhibiting the same
observable behaviour. The probabilistic environment gives rise to several generalisations; …

Rooted branching bisimulation as a congruence for probabilistic transition systems

MD Lee, EP De Vink - arXiv preprint arXiv:1509.08564, 2015 - arxiv.org
We propose a probabilistic transition system specification format, referred to as probabilistic
RBB safe, for which rooted branching bisimulation is a congruence. The congruence …

Principles of Markov automata

CG Eisentraut - 2017 - publikationen.sulb.uni-saarland.de
A substantial amount of today's engineering problems revolve around systems that are
concurrent and stochastic by their nature. Solution approaches attacking these problems …

On the efficiency of deciding probabilistic automata weak bisimulation

V Hashemi, H Hermanss, A Turrini - Electronic Communications of the …, 2014 - eceasst.org
Weak probabilistic bisimulation on probabilistic automata can be decided by an algorithm
that needs to check a polynomial number of linear programming problems encoding weak …