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Related papers: Formulas as Processes, Deadlock-Freedom as Choreog…

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We study encodings of the lambda-calculus into the pi-calculus in the unexplored case of calculi with non-determinism and failures. On the sequential side, we consider lambdafail, a new non-deterministic calculus in which intersection types…

Logic in Computer Science · Computer Science 2024-02-14 Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

Choreographic Programming is a programming paradigm for building concurrent programs that are deadlock-free by construction, as a result of programming communications declaratively and then synthesising process implementations…

Programming Languages · Computer Science 2018-10-10 Luís Cruz-Filipe , Fabrizio Montesi

The $\rho$-calculus (Reflective Higher-Order Calculus) of Meredith and Radestock is a $\pi$-calculus-like language with some unusual features, notably, structured names, runtime generation of free names, and the lack of an operator for…

Logic in Computer Science · Computer Science 2022-09-07 Stian Lybech

We present a process semantics for the purely additive fragment of linear logic in which formulas denote protocols and (equivalence classes of) proofs denote multi-channel concurrent processes. The polycategorical model induced by this…

Category Theory · Mathematics 2010-03-03 C. A. Pastro

We introduce a new criterion, replacement freeness, to discern the relative expressiveness of process calculi. Intuitively, a calculus is strongly replacement free if replacing, within an enclosing context, a process that cannot perform any…

Logic in Computer Science · Computer Science 2010-12-01 Federico Banti , Rosario Pugliese , Francesco Tiezzi

Applied process calculi include advanced programming constructs such as type systems, communication with pattern matching, encryption primitives, concurrent constraints, nondeterminism, process creation, and dynamic connection topologies.…

Logic in Computer Science · Computer Science 2017-01-11 Johannes Borgström , Ramūnas Gutkovas , Joachim Parrow , Björn Victor , Johannes Åman Pohjola

We present a type system to guarantee termination of pi-calculus processes that exploits input/output capabilities and subtyping, as originally introduced by Pierce and Sangiorgi, in order to analyse the usage of channels. We show that our…

Logic in Computer Science · Computer Science 2011-08-29 Ioana Cristescu , Daniel Hirschkoff

We describe a process calculus featuring high level constructs for component-oriented programming in a distributed setting. We propose an extension of the higher-order pi-calculus intended to capture several important mechanisms related to…

Programming Languages · Computer Science 2009-09-04 Daniel Hirschkoff , Aurélien Pardon , Tom Hirschowitz , Samuel Hym , Damien Pous

Psi-calculi is a parametric framework for process calculi similar to popular pi-calculus extensions such as the explicit fusion calculus, the applied pi-calculus and the spi calculus. Mechanised proofs of standard algebraic and congruence…

Logic in Computer Science · Computer Science 2023-06-22 Johannes Åman Pohjola

Numerical algorithms and computational tools are instrumental in navigating and addressing complex simulation and data processing tasks. The exponential growth of metadata and parameter-driven simulations has led to an increasing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-02 Pavan L. Veluvali , Jan Heiland , Peter Benner

This paper introduces a novel paradigm for the analysis and verification of concurrent programs -- the Singularity Theory. We model the execution space of a concurrent program as a branched topological space, where program states are points…

Programming Languages · Computer Science 2025-10-30 Di Zhang

Choreographic Programming is a correct-by-construction paradigm where a compilation procedure synthesises deadlock-free, concurrent, and distributed communicating processes from global, declarative descriptions of communications, called…

Programming Languages · Computer Science 2020-12-15 Saverio Giallorenzo , Fabrizio Montesi , Maurizio Gabbrielli

The higher-order pi-calculus is an extension of the pi-calculus to allow communication of abstractions of processes rather than names alone. It has been studied intensively by Sangiorgi in his thesis where a characterisation of a contextual…

Programming Languages · Computer Science 2017-01-11 Alan Jeffrey , Julian Rathke

Computer architecture is searching for new ways to make use of increasingly available digital logic without the serial bottlenecks of CPU-based design. Recent work has demonstrated a fully CPU-less approach to executing functional programs,…

Hardware Architecture · Computer Science 2026-02-24 Harry Fitchett , Jasmine Ritchie , Charles Fox

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

Following previous work on CCS, we propose a compositional model for the $\pi$-calculus in which processes are interpreted as sheaves on certain simple sites. Such sheaves are a concurrent form of innocent strategies, in the sense of…

Logic in Computer Science · Computer Science 2023-06-22 Clovis Eberhart , Tom Hirschowitz , Thomas Seiller

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

Functional choreographic programming suggests a new propositions-as-types paradigm might be possible. In this new paradigm, communication is not modeled linearly; instead, ownership of a piece of data is modeled as a modality, and…

Programming Languages · Computer Science 2024-06-04 Andrew K. Hirsch

Choreographic programming is a paradigm for developing concurrent and distributed systems, where programs are choreographies that define, from a global viewpoint, the computations and interactions that communicating processes should enact.…

Programming Languages · Computer Science 2021-08-30 Luís Cruz-Filipe , Fabrizio Montesi , Marco Peressotti

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