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 …
programs or models are related modulo some equivalence relation, or that one is included …
Probabilistic bisimulation: Naturally on distributions
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 …
recently these systems have also been regarded as transformers of probabilities. In this …
When equivalence and bisimulation join forces in probabilistic automata
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 …
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 …
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 …
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 …
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; …
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 …
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 …
concurrent and stochastic by their nature. Solution approaches attacking these problems …
On the efficiency of deciding probabilistic automata weak bisimulation
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 …
that needs to check a polynomial number of linear programming problems encoding weak …