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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 provides an adaptation of branching bisimilarity to reactive systems with time-outs that does not enable eliding of time-out transitions. Multiple equivalent definitions are procured, along with a modal characterisation and a…

Logic in Computer Science · Computer Science 2024-12-31 Gaspard Reghem , Rob van Glabbeek

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

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

Several notions of bisimulation relations for probabilistic non-deterministic transition systems have been considered in the literature. We consider a novel testing-based behavioral equivalence called upper-expectation bisimilarity and…

Logic in Computer Science · Computer Science 2013-10-03 Matteo Mio

We prove a general congruence result for bisimilarity in higher-order languages, which generalises previous work to languages specified by a labelled transition system in which programs may occur as labels, and which may rely on operations…

Logic in Computer Science · Computer Science 2023-03-22 Tom Hirschowitz , Ambroise Lafont

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized by the final morphism in some category of coalgebras. Since…

Logic in Computer Science · Computer Science 2015-07-01 Filippo Bonchi , Ugo Montanari

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

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

There exists a rich literature of rule formats guaranteeing different algebraic properties for formalisms with a Structural Operational Semantics. Moreover, there exist a few approaches for automatically deriving axiomatizations…

Logic in Computer Science · Computer Science 2013-07-30 Daniel Gebler , Eugen-Ioan Goriac , Mohammad Reza Mousavi

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

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

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

In this paper we introduced an algebraic semantics for process algebra in form of abstract data types. For that purpose, we developed a particular type of algebra, the seed algebra, which describes exactly the behavior of a process within a…

Programming Languages · Computer Science 2010-01-08 Ruqian Lu , Lixing Li , Yun Shang , Xiaoyu Li

Recently, alternating transition systems are adopted to describe control systems with disturbances and their finite abstract systems. In order to capture the equivalence relation between these systems, a notion of alternating approximate…

Logic in Computer Science · Computer Science 2012-12-21 Jinjin Zhang , Zhaohui Zhu

A new weak bisimulation semantics is defined for Markov automata that, in addition to abstracting from internal actions, sums up the expected values of consecutive exponentially distributed delays possibly intertwined with internal actions.…

Logic in Computer Science · Computer Science 2015-09-30 Alessandro Aldini , Marco Bernardo

We investigate how various forms of bisimulation can be characterised using the technology of logical relations. The approach taken is that each form of bisimulation corresponds to an algebraic structure derived from a transition system,…

Logic in Computer Science · Computer Science 2022-03-14 Claudio Hermida , Uday Reddy , Edmund Robinson , Alessio Santamaria

Recent works have shown that defining a behavioural equivalence that matches the observational properties of a quantum-capable, concurrent, non-deterministic system is a surprisingly difficult task. We explore coalgebras over distributions…

Logic in Computer Science · Computer Science 2025-09-26 Lorenzo Ceragioli , Elena Di Lavore , Giuseppe Lomurno , Gabriele Tedeschi

We concentrate our study on a recent process algebra - PALOMA - intended to capture interactions between spatially distributed agents, for example in collective adaptive systems. New agent-based semantic rules for deriving the underlying…

Logic in Computer Science · Computer Science 2016-07-11 Paul Piho , Jane Hillston

We present a comprehensive study of the behavioral theory of an untyped $\lambda$-calculus extended with the delimited-control operators shift and reset. To that end, we define a contextual equivalence for this calculus, that we then aim to…

Logic in Computer Science · Computer Science 2023-06-22 Dariusz Biernacki , Sergueï Lenglet , Piotr Polesiuk
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