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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

Linear type systems need to keep track of how programs use their resources. The standard approach is to use context splits specifying how resources are (disjointly) split across subterms. In this approach, context splits redundantly echo…

Logic in Computer Science · Computer Science 2021-09-06 Uma Zalakain , Ornela Dardha

We develop a version of the pi-calculus, picost, where channels are interpreted as resources which have costs associated with them. Code runs under the financial responsibility of owners; they must pay to use resources, but may profit by…

Logic in Computer Science · Computer Science 2019-03-14 matthew hennessy

We present an extension of System F with higher-order context-free session types. The mixture of functional types with session types has proven to be a challenge for type equivalence formalization: whereas functional type equivalence is…

Logic in Computer Science · Computer Science 2022-03-25 Diana Costa , Andreia Mordido , Diogo Poças , Vasco T. Vasconcelos

Gradual typing is an approach to integrating static and dynamic typing within the same language, and puts the programmer in control of which regions of code are type checked at compile-time and which are type checked at run-time. In this…

Programming Languages · Computer Science 2019-09-16 Matteo Cimini

We consider the problem of symbolic reachability analysis of higher-order context-free processes. These models are generalizations of the context-free processes (also called BPA processes) where each process manipulates a data structure…

Logic in Computer Science · Computer Science 2007-05-29 Ahmed Bouajjani , Antoine Meyer

The Asynchronous pi-calculus, as recently proposed by Boudol and, independently, by Honda and Tokoro, is a subset of the pi-calculus which contains no explicit operators for choice and output-prefixing. The communication mechanism of this…

Programming Languages · Computer Science 2020-11-17 Catuscia Palamidessi

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 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

The Asynchronous pi-calculus, proposed by Honda and Tokoro (1991) and, independently, by Boudol (1992), is a subset of the pi-calculus (Milner, 1992) which contains no explicit operators for choice and output-prefixing. The communication…

Logic in Computer Science · Computer Science 2013-07-09 Catuscia Palamidessi

First, we extend Leifer-Milner RPO theory, by giving general conditions to obtain IPO labelled transition systems (and bisimilarities) with a reduced set of transitions, and possibly finitely branching. Moreover, we study the weak variant…

Programming Languages · Computer Science 2015-07-01 Pietro Di Gianantonio , Furio Honsell , Marina Lenisa

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

Session types model structured communication-based programming. In particular, binary session types for the pi-calculus describe communication between exactly two participants in a distributed scenario. Adding sessions to the pi-calculus…

Programming Languages · Computer Science 2014-08-27 Ornela Dardha

We introduce sound and complete labelled sequent calculi for the basic normal non-distributive modal logic L and some of its axiomatic extensions, where the labels are atomic formulas of the first order language of enriched formal contexts,…

The complexity of large-scale distributed systems, particularly when deployed in physical space, calls for new mechanisms to address composability and reusability of collective adaptive behaviour. Computational fields have been proposed as…

Logic in Computer Science · Computer Science 2019-01-15 Mirko Viroli , Giorgio Audrito , Ferruccio Damiani , Danilo Pianini , Jacob Beal

The theory of the call-by-value lambda-calculus relies on weak evaluation and closed terms, that are natural hypotheses in the study of programming languages. To model proof assistants, however, strong evaluation and open terms are…

Logic in Computer Science · Computer Science 2017-02-02 Beniamino Accattoli , Giulio Guerrieri

In any setting in which observable properties have a quantitative flavour, it is natural to compare computational objects by way of \emph{metrics} rather than equivalences or partial orders. This holds, in particular, for probabilistic…

Logic in Computer Science · Computer Science 2017-01-20 Raphaëlle Crubillé , Ugo Dal Lago

We study whether, in the pi-calculus, the match prefix---a conditional operator testing two names for (syntactic) equality---is expressible via the other operators. Previously, Carbone and Maffeis proved that matching is not expressible…

Logic in Computer Science · Computer Science 2014-07-25 Kirstin Peters , Tsvetelina Yonova-Karbe , Uwe Nestmann

We present Hypersequent Classical Processes (HCP), a revised interpretation of the "Proofs as Processes" correspondence between linear logic and the {\pi}-calculus initially proposed by Abramsky [1994], and later developed by Bellin and…

Logic in Computer Science · Computer Science 2018-11-07 Wen Kokke , Fabrizio Montesi , Marco Peressotti

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