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We uncover a close relationship between combinatorial and syntactic proofs for first-order logic (without equality). Whereas syntactic proofs are formalized in a deductive proof system based on inference rules, a combinatorial proof is a…

Logic in Computer Science · Computer Science 2021-04-28 Dominic Hughes , Lutz Straßburger , Jui-Hsuan Wu

Game-theoretical approach to the analysis of parallel algorithms is proposed. The approach is based on presentation of the parallel computing as a congestion game. In the game processes compete for resources such as core of a central…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 O. A. Malafeyev , S. A. Nemnyugin

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

In single-core processors, concurrency requires that multiple processes be interleaved into a single thread of execution by a scheduler. The language-theoretic operation that corresponds to this is the shuffle of two languages: the set of…

Formal Languages and Automata Theory · Computer Science 2026-05-14 Corentin Barloy , Michaël Cadilhac , Kyle Ockerlund

Arguments about correctness of a concurrent data structure are typically carried out by using the notion of linearizability and specifying the linearization points of the data structure's procedures. Such arguments are often cumbersome as…

Logic in Computer Science · Computer Science 2017-01-19 Germán Andrés Delbianco , Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee

Linear logic Concurrent Constraint programming (LCC) is an extension of concurrent constraint programming (CC) where the constraint system is based on Girard's linear logic instead of the classical logic. In this paper we address the…

Programming Languages · Computer Science 2011-08-02 Rémy Haemmerlé

In this paper we investigate the Curry-Howard correspondence for constructive modal logic in light of the gap between the proof equivalences enforced by the lambda calculi from the literature and by the recently defined winning strategies…

Logic in Computer Science · Computer Science 2023-08-01 Matteo Acclavio , Davide Catta , Federico Olimpieri

A wide variety of models for concurrent programs has been proposed during the past decades, each one focusing on various aspects of computations: trace equivalence, causality between events, conflicts and schedules due to resource accesses,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-12 Eric Goubault , Samuel Mimram

This paper considers the modeling and the analysis of the performance of lock-free concurrent data structures. Lock-free designs employ an optimistic conflict control mechanism, allowing several processes to access the shared data object at…

Data Structures and Algorithms · Computer Science 2015-08-17 Aras Atalar , Paul Renaud-Goud , Philippas Tsigas

The use of logical systems for problem-solving may be as diverse as in proving theorems in mathematics or in figuring out how to meet up with a friend. In either case, the problem solving activity is captured by the search for an…

Logic in Computer Science · Computer Science 2023-03-28 Alexander V. Gheorghiu , David J. Pym

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that…

Logic in Computer Science · Computer Science 2015-07-01 Jonathan Hayman , Glynn Winskel

Type-preserving translations are effective rigorous tools in the study of core programming calculi. In this paper, we develop a new typed translation that connects sequential and concurrent calculi; it is governed by type systems that…

Programming Languages · Computer Science 2022-06-01 Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

Fair termination is the property of programs that may diverge "in principle" but that terminate "in practice", i.e. under suitable fairness assumptions concerning the resolution of non-deterministic choices. We study a conservative…

Logic in Computer Science · Computer Science 2022-07-11 Luca Ciccone , Luca Padovani

We propose an approach to the semantics of package management which relates it to general event structures, well-known mathematical objects used in the semantics of concurrent, nondeterministic systems. In this approach, the data of a…

Logic in Computer Science · Computer Science 2021-07-06 Gershom Bazerman

A term calculus for the proofs in multiplicative-additive linear logic is introduced and motivated as a programming language for channel based concurrency. The term calculus is proved complete for a semantics in linearly distributive…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , C. A. Pastro

We consider concurrent systems consisting of a finite but unknown number of components, that are replicated instances of a given set of finite state automata. The components communicate by executing interactions which are simultaneous…

Formal Languages and Automata Theory · Computer Science 2019-02-08 Marius Bozga , Radu Iosif , Joseph Sifakis

Abstract. Matching logic cannot handle concurrency. We introduce concurrent matching logic (CML) to reason about fault-free partial correctness of shared-memory concurrent programs. We also present a soundness proof for concurrent matching…

Logic in Computer Science · Computer Science 2021-09-02 Shangbei Wang

We propose a timed and soft extension of Concurrent Constraint Programming. The time extension is based on the hypothesis of bounded asynchrony: the computation takes a bounded period of time and is measured by a discrete global clock.…

Programming Languages · Computer Science 2015-10-07 Stefano Bistarelli , Maurizio Gabbrielli , Maria Chiara Meo , Francesco Santini

Prior work has extended the deep, logical connection between the linear sequent calculus and session-typed message-passing concurrent computation with equi-recursive types and a natural notion of subtyping. In this paper, we extend this…

Programming Languages · Computer Science 2017-02-09 Coşku Acay , Frank Pfenning

The article bridges between two major paradigms in computation, the functional, at basis computation from input to output, and the interactive, where computation reacts to its environment while underway. Central to any compositional theory…

Programming Languages · Computer Science 2023-04-11 Glynn Winskel