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Related papers: Branching Bisimilarity for Processes with Time-out…

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In this study, replication of a period-doubling cascade in coupled systems with delay is rigorously proved under certain assumptions, which guarantee the existence of bounded solutions and replication of sensitivity. A novel definition for…

Chaotic Dynamics · Physics 2021-11-01 Mehmet Onur Fen , Fatma Tokmak Fen

Game-theoretic characterizations of process equivalences traditionally form a central topic in concurrency; for example, most equivalences on the classical linear-time / branching-time spectrum come with such characterizations. Recent work…

Logic in Computer Science · Computer Science 2025-01-28 Jonas Forster , Lutz Schröder , Paul Wild

This paper establishes a comprehensive theory of runtime monitorability for Hennessy-Milner logic with recursion, a very expressive variant of the modal $\mu$-calculus. It investigates the monitorability of that logic with a linear-time…

Logic in Computer Science · Computer Science 2019-02-04 Luca Aceto , Antonis Achilleos , Adrian Francalanza , Anna Ingólfsdóttir , Karoliina Lehtinen

The paper studies processes defined on time domains structured as oriented spatial graphs (or metric graphs, or oriented branched 1-manifolds). This setting can be used, for example, for forecasting models involving branching scenarios. For…

Information Theory · Computer Science 2022-05-13 Nikolai Dokuchaev

I show that in a standard process algebra extended with time-outs one can correctly model mutual exclusion in such a way that starvation-freedom holds without assuming fairness or justness, even when one makes the problem more challenging…

Logic in Computer Science · Computer Science 2023-08-16 Rob van Glabbeek

This paper introduces a new behavioral system model with distinct external and internal signals possibly evolving on different time scales. This allows to capture abstraction processes or signal aggregation in the context of control and…

Systems and Control · Computer Science 2014-02-17 Anne-Kathrin Schmuck , Jörg Raisch

Semantic equivalences are used in process algebra to capture the notion of similar behaviour, and this paper proposes a semi-quantitative equivalence for a stochastic process algebra developed for biological modelling. We consider…

Computational Engineering, Finance, and Science · Computer Science 2011-09-08 Vashti Galpin , Jane Hillston , Federica Ciocchetta

In this manuscript, we are interested in the long-term behaviour of branching processes with pairwise interactions (BPI-processes). A process in this class behaves as a pure branching process with the difference that competition and…

Probability · Mathematics 2024-06-18 Gabriel Berzunza Ojeda , Juan Carlos Pardo

We extend the Dirichlet principle to non-reversible Markov processes on countable state spaces. We present two variational formulas for the solution of the Poisson equation or, equivalently, for the capacity between two disjoint sets. As an…

Probability · Mathematics 2011-11-11 Alexandre Gaudillière , Claudio Landim

In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the modal mu-calculus and show how to derive characteristic formulae for…

Logic in Computer Science · Computer Science 2015-05-19 Yuxin Deng , Rob van Glabbeek

We present two related anytime algorithms for control of nonlinear systems when the processing resources available are time-varying. The basic idea is to calculate tentative control input sequences for as many time steps into the future as…

Optimization and Control · Mathematics 2013-08-09 Daniel E. Quevedo , Vijay Gupta

We study the nature of applicative bisimilarity in $\lambda$-calculi endowed with operators for sampling from continuous distributions. On the one hand, we show that bisimilarity, logical equivalence, and testing equivalence all coincide…

Logic in Computer Science · Computer Science 2022-07-22 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

In this paper we consider the problem of proving properties of infinite behaviour of formalisms suitable to describe (infinite state) systems with recursion and parallelism. As a formal setting, we consider the framework of Process…

Logic in Computer Science · Computer Science 2011-11-09 Laura Bozzelli , Massimo Benerecetti , Adriano Peron

A (fragment of a) process algebra satisfies unique parallel decomposition if the definable behaviours admit a unique decomposition into indecomposable parallel components. In this paper we prove that finite processes of the pi-calculus,…

Logic in Computer Science · Computer Science 2016-08-11 Matias David Lee , Bas Luttik

We propose a probabilistic transition system specification format, referred to as probabilistic RBB safe, for which rooted branching bisimulation is a congruence. The congruence theorem is based on the approach of Fokkink for the…

Logic in Computer Science · Computer Science 2015-09-30 Matias D. Lee , Erik P. de Vink

We prove that the relation of bisimilarity between countable labelled transition systems is $\Sigma_1^1$-complete (hence not Borel), by reducing the set of non-wellorders over the natural numbers continuously to it. This has an impact on…

Logic · Mathematics 2015-12-16 Pedro Sánchez Terraf

We compute the posterior distributions of the initial population and parameter of binary branching processes, in the limit of a large number of generations. We compare this Bayesian procedure with a more na\"ive one, based on hitting times…

Probability · Mathematics 2008-12-18 Didier Piau

We define a notion of normal form bisimilarity for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. Normal form bisimilarities are simple, easy-to-use behavioral equivalences which…

Programming Languages · Computer Science 2012-02-29 Dariusz Biernacki , Serguei Lenglet

In a previous paper, we presented several extensions of ACP with conditional expressions, including one with a retrospection operator on conditions to allow for looking back on conditions under which preceding actions have been performed.…

Logic in Computer Science · Computer Science 2012-04-17 J. A. Bergstra , C. A. Middelburg

An explicit solution of non-critical time-homogeneous branching processes is described.

High Energy Physics - Phenomenology · Physics 2009-10-31 O. G. Tchikilev