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The growing complexity of real-world systems necessitates interdisciplinary solutions to confront myriad challenges in modeling, analysis, management, and control. To meet these demands, the parallel systems method rooted in Artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-26 Yong Zhao , Zhengqiu Zhu , Bin Chen , Sihang Qiu , Jincai Huang , Xin Lu , Weiyi Yang , Chuan Ai , Kuihua Huang , Cheng He , Yucheng Jin , Zhong Liu , Fei-Yue Wang

Clustering multidimensional points is a fundamental data mining task, with applications in many fields, such as astronomy, neuroscience, bioinformatics, and computer vision. The goal of clustering algorithms is to group similar objects…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Yihao Huang , Shangdi Yu , Julian Shun

Persistent homology provides a robust methodology to infer topological structures from point cloud data. Here we explore the persistent homology of point clouds embedded into a probabilistic setting, exploiting the theory of point…

Probability · Mathematics 2023-08-07 Daniel Spitz , Anna Wienhard

Concurrent constraint programming (ccp) is a well-established model for concurrency that singles out the fundamental aspects of asynchronous systems whose agents (or processes) evolve by posting and querying (partial) information in a…

Programming Languages · Computer Science 2012-12-18 Andrés Aristizábal , Filippo Bonchi , Luis Pino , Frank Valencia

Concurrency, the art of doing many things at the same time is slowly becoming a science. It is very difficult to master, yet it arises all over modern computing systems, both when the communication medium is shared memory and when it is by…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-17 Sergio Rajsbaum , Michel Raynal

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

Alignment algorithms usually rely on simplified models of gaps for computational efficiency. Based on an isomorphism between alignments and physical helix-coil models, we show in statistical mechanics that alignments with realistic laws for…

Genomics · Quantitative Biology 2015-06-26 E. Yeramian , E. Debonneuil

Locks are a classic data structure for concurrent programming. We introduce a type system to ensure that names of the asynchronous pi-calculus are used as locks. Our calculus also features a construct to deallocate a lock once we know that…

Logic in Computer Science · Computer Science 2023-09-15 Daniel Hirschkoff , Enguerrand Prebet

Constraint Handling Rules is an effective concurrent declarative programming language and a versatile computational logic formalism. CHR programs consist of guarded reactive rules that transform multisets of constraints. One of the main…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-09 Thom Fruehwirth

In this paper, we study local systems of locally finite associative algebras over fields of characteristic p\ge0. We describe the perfect local systems and study the relation between them and their corresponding locally finite associative…

Rings and Algebras · Mathematics 2021-01-08 Hasan M S Shlaka

Psi-calculi are a parametric framework for nominal calculi, where standard calculi are found as instances, like the pi-calculus, or the cryptographic spi-calculus and applied-pi. Psi-calculi have an interleaving operational semantics, with…

Logic in Computer Science · Computer Science 2014-10-29 Håkon Normann , Cristian Prisacariu , Thomas Hildebrandt

Process consistency checking (PCC), an interdiscipline of natural language processing (NLP) and business process management (BPM), aims to quantify the degree of (in)consistencies between graphical and textual descriptions of a process.…

Computation and Language · Computer Science 2019-05-17 Chen Qian , Lijie Wen , Akhil Kumar

We show that three fixed point structures equipped with (sequential) composition, a sum operation, and a fixed point operation share the same valid equations. These are the theories of (context-free) languages, (regular) tree languages, and…

Logic in Computer Science · Computer Science 2013-04-16 Zoltan Esik

We propose a new method for accelerating the computation of a concurrency relation, that is all pairs of places in a Petri net that can be marked together. Our approach relies on a state space abstraction, that involves a mix between…

Logic in Computer Science · Computer Science 2021-06-25 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

This survey reviews some of the most recent achievements in the saga of the axiomatisation of parallel composition, along with some classic results. We focus on the recursion, relabelling and restriction free fragment of CCS and we discuss…

Logic in Computer Science · Computer Science 2021-05-04 Luca Aceto , Elli Anastasiadi , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik

We introduce a novel approach to studying properties of processes in the {\pi}-calculus based on a processes-as-formulas interpretation, by establishing a correspondence between specific sequent calculus derivations and computation trees in…

Logic in Computer Science · Computer Science 2025-05-27 Matteo Acclavio , Giulia Manara , Fabrizio Montesi

The FastECPP algorithm is currently the fastest approach to prove theprimality of general numbers, and has the additional benefit of creatingcertificates that can be checked independently and with a lower complexity.This article shows how…

Number Theory · Mathematics 2024-05-06 Andreas Enge

Classical algebraic structures require exact satisfaction of their defining axioms. We propose similarity algebra, a framework extending algebraic and Lie structures to settings where operations satisfy quantitative bounds up to a tolerance…

Rings and Algebras · Mathematics 2026-02-17 Benyamin Ghojogh , Golbahar Amanpour

Formalising the pi-calculus is an illuminating test of the expressiveness of logical frameworks and mechanised metatheory systems, because of the presence of name binding, labelled transitions with name extrusion, bisimulation, and…

Logic in Computer Science · Computer Science 2015-07-30 Roly Perera , James Cheney

Often fairness assumptions need to be made in order to establish liveness properties of distributed systems, but in many situations they lead to false conclusions. This document presents a research agenda aiming at laying the foundations of…

Logic in Computer Science · Computer Science 2019-12-13 Rob van Glabbeek