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This paper analyzes the notion of causality in a conceptual model, mainly as applied in software engineering. Conceptual system modeling can be considered a three-level process that begins with building a static structural description to…

Software Engineering · Computer Science 2020-05-07 Sabah Al-Fedaghi

We explore systems of pulse-coupled oscillators beyond the mean-field limit [R.E. Mirollo and S.H. Strogatz, {SIAM J. Appl. Math.} {\bf 50}, 1645 (1990)] by means of a manageable description which leads to a great simplification of the…

Condensed Matter · Physics 2007-05-23 J. M. G. Vilar , A. Corral

Concurrent pattern calculus (CPC) drives interaction between processes by comparing data structures, just as sequential pattern calculus drives computation. By generalising from pattern matching to pattern unification, interaction becomes…

Logic in Computer Science · Computer Science 2015-07-01 Thomas Given-Wilson , Daniele Gorla , Barry Jay

A major open question in the study of synchronization of coupled oscillators is to find necessary and sufficient condition for a system to synchronize on a given family of graphs. This is a difficult question that requires to understand…

Combinatorics · Mathematics 2023-03-08 Hanbaek Lyu

Quantifying synchronization phenomena based on the timing of events has recently attracted a great deal of interest in various disciplines such as neuroscience or climatology. A multitude of similarity measures has been proposed for this…

Data Analysis, Statistics and Probability · Physics 2026-02-24 Adrian Odenweller , Reik V. Donner

We present Concurrent GV (CGV), a functional calculus with message-passing concurrency governed by session types. With respect to prior calculi, CGV has increased support for concurrent evaluation and for cyclic network topologies. The…

Logic in Computer Science · Computer Science 2022-09-15 Bas van den Heuvel , Jorge A. Pérez

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

Cellular automata are widely used to model natural or artificial systems. Classically they are run with perfect synchrony, i.e., the local rule is applied to each cell at each time step. A possible modification of the updating scheme…

Cellular Automata and Lattice Gases · Physics 2008-02-13 Nazim A. Fatès

We address the problem of analysing the complexity of concurrent programs written in Pi-calculus. We are interested in parallel complexity, or span, understood as the execution time in a model with maximal parallelism. A type system for…

Computational Complexity · Computer Science 2021-10-20 Patrick Baillot , Alexis Ghyselen , Naoki Kobayashi

We say that a Cellular Automata (CA) is coalescing when its execution on two distinct (random) initial configurations in the same asynchronous mode (the same cells are updated in each configuration at each time step) makes both…

Cellular Automata and Lattice Gases · Physics 2007-12-13 Jean-Baptiste Rouquier , Michel Morvan

We present Concurrent GV (CGV), a functional calculus with message-passing concurrency governed by session types. With respect to prior calculi, CGV has increased support for concurrent evaluation and for cyclic network topologies. The…

Logic in Computer Science · Computer Science 2022-10-07 Bas van den Heuvel , Jorge A. Pérez

Synchronization is the spontaneous alignment of the dynamics of weakly-coupled oscillators. In addition to temporal dynamics like periodic and chaotic oscillations, also the spatio-temporal dynamics of spatially-extended systems like…

Optics · Physics 2026-03-11 Jules Mercadier , Stefan Bittner , Marc Sciamanna

While formal models of concurrency tend to focus on synchronous communication, asynchronous communication is relevant in practice. In this paper, we will discuss asynchronous communication in the context of session-based concurrency, the…

Programming Languages · Computer Science 2024-12-12 Bas van den Heuvel , Jorge A. Pérez

The $\pi$-calculus is used as a model for programming languages. Its contexts exhibit arbitrary concurrency, making them very discriminating. This may prevent validating desirable behavioural equivalences in cases when more disciplined…

Logic in Computer Science · Computer Science 2021-12-14 Daniel Hirschkoff , Enguerrand Prebet , Davide Sangiorgi

Discovery of causal relations is fundamental for understanding the dynamics of complex systems. While causal interactions are well defined for acyclic systems that can be separated into causally effective subsystems, a mathematical…

Data Analysis, Statistics and Probability · Physics 2017-10-11 Daniel Harnack , Erik Laminski , Klaus Richard Pawelzik

In distributed synthesis, we generate a set of process implementations that, together, accomplish an objective against all possible behaviors of the environment. A lot of recent work has focussed on systems with causal memory, i.e., sets of…

Logic in Computer Science · Computer Science 2022-06-01 Raven Beutner , Bernd Finkbeiner , Jesko Hecking-Harbusch

Full understanding of synchronous behavior in coupled dynamical systems beyond the identical case requires an explicit construction of the generalized synchronization manifold, whether we wish to compare the systems, or to understand their…

Chaotic Dynamics · Physics 2009-11-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

The behavior of concurrent, asynchronous procedures depends in general on the call context, because of the global protocol that governs scheduling. This context cannot be specified with the state-based Hoare-style contracts common in…

Logic in Computer Science · Computer Science 2023-10-09 Reiner Hähnle , Eduard Kamburjan , Marco Scaletta

In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-11 Hammurabi Mendes , Christine Tasson , Maurice Herlihy

We define a pi-calculus variant with a costed semantics where channels are treated as resources that must explicitly be allocated before they are used and can be deallocated when no longer required. We use a substructural type system…

Logic in Computer Science · Computer Science 2015-07-01 Adrian Francalanza , Edsko DeVries , Matthew Hennessy