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The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general…

Logic in Computer Science · Computer Science 2023-06-22 Clemens Kupke , Jurriaan Rot

Bisimulation is a concept that captures behavioural equivalence. It has been studied extensively on nonprobabilistic systems and on discrete-time Markov processes and on so-called continuous-time Markov chains. In the latter time is…

Logic in Computer Science · Computer Science 2024-01-31 Linan Chen , Florence Clerc , Prakash Panangaden

We characterize all common notions of behavioral equivalence by one 6-dimensional energy game, where energies bound capabilities of an attacker trying to tell processes apart. The defender-winning initial credits exhaustively determine…

Data Structures and Algorithms · Computer Science 2023-07-21 Benjamin Bisping

We propose behavioral specification theories for most equivalences in the linear-time--branching-time spectrum. Almost all previous work on specification theories focuses on bisimilarity, but there is a clear interest in specification…

Logic in Computer Science · Computer Science 2019-10-21 Uli Fahrenberg , Axel Legay

In this paper we present a unifying approach for deciding various bisimulations, simulation equivalences and preorders between two timed automata states. We propose a zone based method for deciding these relations in which we eliminate an…

Formal Languages and Automata Theory · Computer Science 2013-07-30 Shibashis Guha , Shankara Narayanan Krishna , Chinmay Narayan , S. Arun-Kumar

In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic linear control systems with possibly degenerate normally…

Optimization and Control · Mathematics 2016-11-28 Giordano Pola , Costanzo Manes , Arjan J. van der Schaft , Maria Domenica Di Benedetto

With the previous notions of bisimulation presented in literature, to check if two quantum processes are bisimilar, we have to instantiate the free quantum variables of them with arbitrary quantum states, and verify the bisimilarity of…

Logic in Computer Science · Computer Science 2012-02-22 Yuan Feng , Yuxin Deng , Mingsheng Ying

In standard process algebra, parallel components do not share a common state and communicate through synchronisation. The advantage of this type of communication is that it facilitates compositional reasoning. For modelling and analysing…

Logic in Computer Science · Computer Science 2020-09-01 Mark Bouwman , Bas Luttik , Wouter Schols , Tim A. C. Willemse

Learning generalizeable policies from visual input in the presence of visual distractions is a challenging problem in reinforcement learning. Recently, there has been renewed interest in bisimulation metrics as a tool to address this issue;…

Machine Learning · Computer Science 2022-01-31 Martin Bertran , Walter Talbott , Nitish Srivastava , Joshua Susskind

We provide a generic algorithm for constructing formulae that distinguish behaviourally inequivalent states in systems of various transition types such as nondeterministic, probabilistic or weighted; genericity over the transition type is…

Logic in Computer Science · Computer Science 2021-09-29 Thorsten Wißmann , Stefan Milius , Lutz Schröder

We define a new logic-induced notion of bisimulation (called $\rho$-bisimulation) for coalgebraic modal logics given by a logical connection, and investigate its properties. We show that it is structural in the sense that it is defined only…

Logic in Computer Science · Computer Science 2020-08-24 Jim de Groot , Helle Hvid Hansen , Alexander Kurz

Bisimilarity as an equivalence notion of systems has been central to process theory. Due to the recent rise of interest in quantitative systems (probabilistic, weighted, hybrid, etc.), bisimilarity has been extended in various ways:…

Logic in Computer Science · Computer Science 2019-07-24 Yuichi Komorida , Shin-ya Katsumata , Nick Hu , Bartek Klin , Ichiro Hasuo

We consider state-based systems modelled as coalgebras whose type incorporates branching, and show that by suitably adapting the definition of coalgebraic bisimulation, one obtains a general and uniform account of the linear-time behaviour…

Logic in Computer Science · Computer Science 2013-09-05 Corina Cirstea

I present a branching time model of CSP that is finer than all other models of CSP proposed thus far. It is obtained by taking a semantic equivalence from the linear time - branching time spectrum, namely divergence-preserving coupled…

Logic in Computer Science · Computer Science 2017-02-28 Rob van Glabbeek

Timed transition systems are behavioural models that include an explicit treatment of time flow and are used to formalise the semantics of several foundational process calculi and automata. Despite their relevance, a general mathematical…

Logic in Computer Science · Computer Science 2023-06-22 Tomasz Brengos , Marco Peressotti

We introduce a data-driven approach to computing finite bisimulations for state transition systems with very large, possibly infinite state space. Our novel technique computes stutter-insensitive bisimulations of deterministic systems,…

Logic in Computer Science · Computer Science 2024-05-27 Alessandro Abate , Mirco Giacobbe , Yannik Schnitzer

We present new algorithms for computing and approximating bisimulation metrics in Markov Decision Processes (MDPs). Bisimulation metrics are an elegant formalism that capture behavioral equivalence between states and provide strong…

Machine Learning · Computer Science 2019-11-22 Pablo Samuel Castro

There are two fundamentally different approaches to specifying and verifying properties of systems. The logical approach makes use of specifications given as formulae of temporal or modal logics and relies on efficient model checking…

Logic in Computer Science · Computer Science 2013-06-05 Nikola Beneš , Benoît Delahaye , Uli Fahrenberg , Jan Křetínský , Axel Legay

For the model of probabilistic labelled transition systems that allow for the co-existence of nondeterminism and probabilities, we present two notions of bisimulation metrics: one is state-based and the other is distribution-based. We…

Logic in Computer Science · Computer Science 2015-09-14 Yuxin Deng , Wenjie Du , Daniel Gebler

We develop a behavioral theory for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. For this calculus, we discuss the possible observable behaviors and we define an applicative…

Programming Languages · Computer Science 2012-01-05 Dariusz Biernacki , Serguei Lenglet