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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

This paper demonstrates a new regeneration processes technology making use of positive stable distributions. We study the asymptotic behavior of branching processes with a randomly controlled migration component. Using the new method, we…

Probability · Mathematics 2007-05-23 George P. Yanev , Kosto V. Mitov , Nickolay M. Yanev

Ever since the introduction of behavioral equivalences on processes one has been searching for efficient proof techniques that accompany those equivalences. Both strong bisimilarity and weak bisimilarity are accompanied by an arsenal of…

Logic in Computer Science · Computer Science 2020-01-27 Rick Erkens , Jurriaan Rot , Bas Luttik

Reactive languages are dedicated to the programming of systems which interact continuously and concurrently with their environment. Values take the form of unbounded streams modeling the (discrete) passing of time or the sequence of…

Programming Languages · Computer Science 2023-11-29 Dumitru Potop Butucaru , Albert Cohen , Gordon Plotkin , Hugo Pompougnac

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

Markov branching systems form a fundamental class of stochastic models that are extensively applied in biology, physics, finance, and other domains. These systems are distinguished by their continuous-time evolution and inherent branching…

Motivated by applications in databases, this paper considers various fragments of the calculus of binary relations. The fragments are obtained by leaving out, or keeping in, some of the standard operators, along with some derived operators…

Logic in Computer Science · Computer Science 2014-03-31 George H. L. Fletcher , Marc Gyssens , Dirk Leinders , Jan Van den Bussche , Dirk Van Gucht , Stijn Vansummeren

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

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

Reversible systems exhibit both forward computations and backward computations, where the aim of the latter is to undo the effects of the former. Such systems can be compared via forward-reverse bisimilarity as well as its two components,…

Logic in Computer Science · Computer Science 2024-11-25 Marco Bernardo , Andrea Esposito , Claudio A. Mezzina

This paper studies the existence of finite equational axiomatisations of the interleaving parallel composition operator modulo the behavioural equivalences in van Glabbeek's linear time-branching time spectrum. In the setting of the process…

Logic in Computer Science · Computer Science 2023-06-22 Luca Aceto , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik , Mathias R. Pedersen

Process equivalences are formal methods that relate programs and system which, informally, behave in the same way. Since there is no unique notion of what it means for two dynamic systems to display the same behaviour there are a multitude…

Logic in Computer Science · Computer Science 2012-10-10 Martin Lange , Etienne Lozes , Manuel Vargas Guzmán

Self-similarity is the property of a system being similar to a part of itself. We posit that a special class of behaviourally self-similar systems exhibits a degree of resilience to adversarial behaviour. We formalise the notions of system,…

Programming Languages · Computer Science 2016-08-11 Sanjiva Prasad , Lenore D. Zuck

This study investigates the dynamics of alternating minimization applied to a bilinear regression task with normally distributed covariates, under the asymptotic system size limit where the number of parameters and observations diverge at…

Optimization and Control · Mathematics 2025-02-03 Koki Okajima , Takashi Takahashi

In most presentations of ACP with guarded recursion, recursive specifications are finite or infinite sets of recursion equations of which the right-hand sides are guarded terms. The completeness with respect to bisimulation equivalence of…

Logic in Computer Science · Computer Science 2020-05-05 R. J. van Glabbeek , C. A. Middelburg

Strong bisimilarity on normed BPA is polynomial-time decidable, while weak bisimilarity on totally normed BPA is NP-hard. It is natural to ask where the computational complexity of branching bisimilarity on totally normed BPA lies. This…

Logic in Computer Science · Computer Science 2014-11-18 Chaodong He

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

We introduce a bisimulation learning algorithm for non-deterministic transition systems. We generalise bisimulation learning to systems with bounded branching and extend its applicability to model checking branching-time temporal logic,…

Logic in Computer Science · Computer Science 2025-05-23 Alessandro Abate , Mirco Giacobbe , Christian Micheletti , Yannik Schnitzer

Earlier we presented a method to decompose modal formulas for processes with the internal action $\tau$, and congruence formats for branching and $\eta$-bisimilarity were derived on the basis of this decomposition method. The idea is that a…

Logic in Computer Science · Computer Science 2017-12-22 Wan Fokkink , Rob van Glabbeek

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