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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

The $\pi$-calculus is a process algebra where agents interact by sending communication links to each other via noiseless communication channels. Taking into account the reality of noisy channels, an extension of the $\pi$-calculus, called…

Logic in Computer Science · Computer Science 2011-10-04 Yongzhi Cao

The $\pi$-calculus is the paradigmatical name-passing calculus. While being purely name-passing, it allows the representation of higher-order functions and store. We study how $\pi$-calculus processes can be controlled so that computations…

Logic in Computer Science · Computer Science 2025-04-25 Daniel Hirschkoff , Iwan Quémerais , Davide Sangiorgi

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 shows how we can make use of an asynchronous transition system, whose transitions are labelled with events and which is equipped with a notion of independence of events, to define non-interleaving semantics for the applied…

Logic in Computer Science · Computer Science 2022-09-13 Clément Aubert , Ross Horne , Christian Johansen

We introduce a dialect of the Asynchronous pi-calculus, called AWpi, in which (1) an input name may be owned, at any time, by at most one process; (2) each name has either only the input or only the output capability. As a result, special…

Logic in Computer Science · Computer Science 2026-05-19 Ken Sakayori , Davide Sangiorgi , Simon Castellan , Pierre Clairambault

We study bisimulation and context equivalence in a probabilistic $\lambda$-calculus. The contributions of this paper are threefold. Firstly we show a technique for proving congruence of probabilistic applicative bisimilarity. While the…

Programming Languages · Computer Science 2013-11-08 Ugo Dal Lago , Davide Sangiorgi , Michele Alberti

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

Many classification problems require decisions among a large number of competing classes. These tasks, however, are not handled well by general purpose learning methods and are usually addressed in an ad-hoc fashion. We suggest a general…

Artificial Intelligence · Computer Science 2007-05-23 Yair Even-Zohar , Dan Roth

Message-passing based concurrent languages are widely used in developing large distributed and coordination systems. This paper presents the buffered $\pi$-calculus --- a variant of the $\pi$-calculus where channel names are classified into…

Logic in Computer Science · Computer Science 2012-12-27 Xiaojie Deng , Yu Zhang , Yuxin Deng , Farong Zhong

We give a simple order-theoretic construction of a Cartesian closed category of sequential functions. It is based on bistable biorders, which are sets with a partial order -- the extensional order -- and a bistable coherence, which captures…

Programming Languages · Computer Science 2017-01-11 James Laird

The modelling, specification and study of the semantics of concurrent reactive systems have been interesting research topics for many years now. The aim of this thesis is to exploit the strengths of the (co)algebraic framework in modelling…

Logic in Computer Science · Computer Science 2015-02-11 Georgiana Caltais

We establish a tight connection between two models of the $\lambda$-calculus, namely Milner's encoding into the $\pi$-calculus (precisely, the Internal $\pi$-calculus), and operational game semantics (OGS). We first investigate the…

Logic in Computer Science · Computer Science 2026-05-06 Guilhem Jaber , Davide Sangiorgi

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

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

Classification is an important task in many fields including biomedical research and machine learning. Traditionally, a classification rule is constructed based a bunch of labeled data. Recently, due to technological innovation and…

Methodology · Statistics 2014-06-19 Jing Wang , Eunsik Park , Yuan-chin Ivan Chang

We study functional and concurrent calculi with non-determinism, along with type systems to control resources based on linearity. The interplay between non-determinism and linearity is delicate: careless handling of branches can discard…

Logic in Computer Science · Computer Science 2023-10-02 Bas van den Heuvel , Joseph W. N. Paulus , Daniele Nantes-Sobrinho , Jorge A. Pérez

We study the nature of applicative bisimilarity in $\lambda$-calculi endowed with operators for sampling from continuous distributions. On the one hand, we show that bisimilarity, logical equivalence, and testing equivalence all coincide…

Logic in Computer Science · Computer Science 2022-07-22 Gilles Barthe , Raphaëlle Crubillé , Ugo Dal Lago , Francesco Gavazzo

We assess the descriptive complexity of *bisimilarity* or "equality of behavior" on a family of Markov decision processes over uncountable standard Borel spaces, namely *nondeterministic labelled Markov processes* (NLMP). We show that…

Logic in Computer Science · Computer Science 2026-04-09 Martín Santiago Moroni , Pedro Sánchez Terraf

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
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