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We develop a (co)algebraic framework to study a family of process calculi with monadic branching structures and recursion operators. Our framework features a uniform semantics of process terms and a complete axiomatisation of semantic…

Logic in Computer Science · Computer Science 2022-07-26 Todd Schmid , Wojciech Rozowski , Alexandra Silva , Jurriaan Rot

In concurrency theory, weak bisimilarity is often used to relate processes exhibiting the same observable behaviour. The probabilistic environment gives rise to several generalisations; we study the infinitary semantics, which abstracts…

Logic in Computer Science · Computer Science 2018-10-18 Nick Fischer , Rob van Glabbeek

Branching-stable processes have recently appeared as counterparts of stable subordinators, when addition of real variables is replaced by branching mechanism for point processes. Here, we are interested in their domains of attraction and…

Probability · Mathematics 2021-11-02 Jean Bertoin , Hairuo Yang

This paper shows that guarded systems of recursive equations have unique solutions up to strong bisimilarity for any process algebra with a structural operation semantics in the ready simulation format. A similar result holds for simulation…

Logic in Computer Science · Computer Science 2025-10-29 Rob van Glabbeek

We put forward an exponential-time algorithm for deciding branching bisimilarity on normed BPA (Bacis Process Algebra) systems. The decidability of branching (or weak) bisimilarity on normed BPA was once a long standing open problem which…

Logic in Computer Science · Computer Science 2015-03-18 Chaodong He , Mingzhang Huang

The modelling, specification and study of the semantics of concurrent reactive systems have been interesting research topics for many years now. The aim of this thesis is to exploit the strengths of the (co)algebraic framework in modelling…

Logic in Computer Science · Computer Science 2015-02-11 Georgiana Caltais

The theory of noninterference supports the analysis of information leakage and the execution of secure computations in multi-level security systems. Classical equivalence-based approaches to noninterference mainly rely on weak bisimulation…

Cryptography and Security · Computer Science 2025-01-29 Andrea Esposito , Alessandro Aldini , Marco Bernardo , Sabina Rossi

We assess the descriptive complexity of *bisimilarity* or "equality of behavior" on a family of Markov decision processes over uncountable standard Borel spaces, namely *nondeterministic labelled Markov processes* (NLMP). We show that…

Logic in Computer Science · Computer Science 2026-04-09 Martín Santiago Moroni , Pedro Sánchez Terraf

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

Branching and weak probabilistic bisimilarities are two well-known notions capturing behavioral equivalence between nondeterministic probabilistic systems. For probabilistic systems, divergence is of major concern. Recently several…

Logic in Computer Science · Computer Science 2024-12-31 Hao Wu , Yuxi Fu , Huan Long , Xian Xu , Wenbo Zhang

Higher-order processes with parameterization are capable of abstraction and application (migrated from the lambda-calculus), and thus are computationally more expressive. For the minimal higher-order concurrency, it is well-known that the…

Logic in Computer Science · Computer Science 2021-08-25 Xian Xu , Wenbo Zhang

The analysis of concurrent and reactive systems is based to a large degree on various notions of process equivalence, ranging, on the so-called linear-time/branching-time spectrum, from fine-grained equivalences such as strong bisimilarity…

Logic in Computer Science · Computer Science 2014-10-17 Alexander Kurz , Stefan Milius , Dirk Pattinson , Lutz Schröder

Branching bisimilarity on normed Basic Process Algebra (BPA) was claimed to be EXPTIME-hard in previous papers without any explicit proof. Recently it is reminded by Jan\v{c}ar that the claim is not so dependable. In this paper, we develop…

Logic in Computer Science · Computer Science 2017-02-21 Qiang Yin , Mingzhang Huang , Chaodong He

We propose a variant of the CCS process algebra with new features aiming at allowing multiscale modelling of biological systems. In the usual semantics of process algebras for modelling biological systems actions are instantaneous. When…

Logic in Computer Science · Computer Science 2010-11-03 Roberto Barbuti , Giulio Caravagna , Paolo Milazzo , Andrea Maggiolo-Schettini , Simone Tini

We consider random processes that are history-dependent, in the sense that the distribution of the next step of the process at any time depends upon the entire past history of the process. In general, therefore, the Markov property cannot…

Probability · Mathematics 2019-11-19 Peter Clifford , David Stirzaker

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

We consider the property of unique parallel decomposition modulo branching and weak bisimilarity. First, we show that infinite behaviours may fail to have parallel decompositions at all. Then, we prove that totally normed behaviours always…

Logic in Computer Science · Computer Science 2015-07-29 Bas Luttik

Power law distributions have been repeatedly observed in a wide variety of socioeconomic, biological and technological areas. In many of the observations, e.g., city populations and sizes of living organisms, the objects of interest evolve…

Probability · Mathematics 2009-09-29 Predrag R. Jelenkovic , Jian Tan

Reversible systems feature both forward computations and backward computations, where the latter undo the effects of the former in a causally consistent manner. The compositionality properties and equational characterizations of strong and…

Logic in Computer Science · Computer Science 2023-10-03 Marco Bernardo , Andrea Esposito

In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Runyao Duan , Mingsheng Ying