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This paper provides an adaptation of branching bisimilarity to reactive systems with time-outs. Multiple equivalent definitions are procured, along with a modal characterisation and a proof of its congruence property for a standard process…

Logic in Computer Science · Computer Science 2024-08-20 Gaspard Reghem , Rob van Glabbeek

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

Logic in Computer Science · Computer Science 2023-01-25 Rob van Glabbeek

This paper proposes a notion of branching bisimilarity for non-deterministic probabilistic processes. In order to characterize the corresponding notion of rooted branching probabilistic bisimilarity, an equational theory is proposed for a…

Logic in Computer Science · Computer Science 2025-02-11 Rob van Glabbeek , Jan Friso Groote , Erik de Vink

In this paper we investigate the equational theory of (the restriction, relabelling, and recursion free fragment of) CCS modulo rooted branching bisimilarity, which is a classic, bisimulation-based notion of equivalence that abstracts from…

Logic in Computer Science · Computer Science 2022-06-29 Luca Aceto , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik

We prove that rooted divergence-preserving branching bisimilarity is a congruence for the process specification language consisting of nil, action prefix, choice, and the recursion construct.

Logic in Computer Science · Computer Science 2023-06-22 Rob van Glabbeek , Bas Luttik , Linda Spaninks

We consider the relational characterisation of branching bisimilarity with explicit divergence. We prove that it is an equivalence and that it coincides with the original definition of branching bisimilarity with explicit divergence in…

Logic in Computer Science · Computer Science 2008-12-17 Rob van Glabbeek , Bas Luttik , Nikola Trcka

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

This note considers the notion of divergence-preserving branching bisimilarity. It briefly surveys results pertaining to the notion that have been obtained in the past one-and-a-half decade, discusses its role in the study of expressiveness…

Logic in Computer Science · Computer Science 2020-09-01 Bas Luttik

This paper extends a standard process algebra with a time-out operator, thereby increasing its absolute expressiveness, while remaining within the realm of untimed process algebra, in the sense that the progress of time is not quantified.…

Logic in Computer Science · Computer Science 2023-06-22 Rob van Glabbeek

We propose reactive Turing machines (RTMs), extending classical Turing machines with a process-theoretical notion of interaction, and use it to define a notion of executable transition system. We show that every computable transition system…

Logic in Computer Science · Computer Science 2013-03-06 Jos C. M. Baeten , Bas Luttik , Paul van Tilburg

Causal reversibility blends reversibility and causality for concurrent systems. It indicates that an action can be undone provided that all of its consequences have been undone already, thus making it possible to bring the system back to a…

Logic in Computer Science · Computer Science 2024-02-14 Marco Bernardo , Claudio A. Mezzina

A variant of the standard notion of branching bisimilarity for processes with discrete relative timing is proposed which is coarser than the standard notion. Using a version of ACP (Algebra of Communicating Processes) with abstraction for…

Logic in Computer Science · Computer Science 2024-07-25 C. A. Middelburg

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

Some characterizations of mixed renewal processes in terms of exchangeability and of different types of disintegrations are given. As a consequence, an existence result for mixed renewal processes, providing also a new construction for…

Probability · Mathematics 2014-07-01 D. P. Lyberopoulos , N. D. Macheras

The application considered is mixed-criticality scheduling. The core formal approaches used are Rely-Guarantee conditions and the Timeband framework; these are applied to give a layered description of job scheduling which includes…

Software Engineering · Computer Science 2022-07-15 Cliff B Jones , Alan Burns

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

Recent studies reveal that branching bisimilarity is decidable for both nBPP (normed Basic Parallel Process) and nBPA (normed Basic Process Algebra). These results lead to the question if there are any other models in the hierarchy of PRS…

Logic in Computer Science · Computer Science 2014-04-29 Qiang Yin , Yuxi Fu , Chaodong He , Mingzhang Huang , Xiuting Tao

Reactive systems \`a la Leifer and Milner, an abstract categorical framework for rewriting, provide a suitable framework for deriving bisimulation congruences. This is done by synthesizing interactions with the environment in order to…

Logic in Computer Science · Computer Science 2023-07-14 Mathias Hülsbusch , Barbara König , Sebastian Küpper , Lara Stoltenow

Linearizability and progress properties are key correctness notions for concurrent objects. However, model checking linearizability has suffered from the PSPACE-hardness of the trace inclusion problem. This paper proposes to exploit…

Programming Languages · Computer Science 2016-10-03 Xiaoxiao Yang , Joost-Pieter Katoen , Huimin Lin , Hao Wu

We introduce the wire calculus. Its dynamic features are inspired by Milner's CCS: a unary prefix operation, binary choice and a standard recursion construct. Instead of an interleaving parallel composition operator there are operators for…

Logic in Computer Science · Computer Science 2009-12-04 Paweł Sobociński
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