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The framework of psi-calculi extends the pi-calculus with nominal datatypes for data structures and for logical assertions and conditions. These can be transmitted between processes and their names can be statically scoped as in the…

Logic in Computer Science · Computer Science 2015-07-01 Jesper Bengtson , Magnus Johansson , Joachim Parrow , Björn Victor

We present a symbolic transition system and bisimulation equivalence for psi-calculi, and show that it is fully abstract with respect to bisimulation congruence in the non-symbolic semantics. A psi-calculus is an extension of the…

Logic in Computer Science · Computer Science 2010-02-16 Magnus Johansson , Björn Victor , Joachim Parrow

Psi-calculi is a parametric framework for extensions of the pi-calculus with data terms and arbitrary logics. In this framework there is no direct way to represent action priorities, where an action can execute only if all other enabled…

Logic in Computer Science · Computer Science 2014-08-08 Johannes Åman Pohjola , Joachim Parrow

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

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

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

The spi-calculus is a formal model for the design and analysis of cryptographic protocols: many security properties, such as authentication and strong confidentiality, can be reduced to the verification of behavioural equivalences between…

Cryptography and Security · Computer Science 2016-11-11 Alessio Mansutti , Marino Miculan

A notion of open bisimulation is formulated for the spi calculus, an extension of the pi-calculus with cryptographic primitives. In this formulation, open bisimulation is indexed by pairs of symbolic traces, which represent the history of…

Cryptography and Security · Computer Science 2009-01-16 Alwen Tiu

This paper presents a logical approach to the translation of functional calculi into concurrent process calculi. The starting point is a type system for the {\pi}-calculus closely related to linear logic. Decompositions of intuitionistic…

Logic in Computer Science · Computer Science 2011-07-22 Emmanuel Beffara

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 a widely used process calculus, which models communications between processes and allows the passing of communication links. Various operational semantics of the pi-calculus have been proposed, which can be classified…

Formal Languages and Automata Theory · Computer Science 2020-04-14 Eva Graversen , Iain Phillips , Nobuko Yoshida

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

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

This paper presents a study of causality in a reversible, concurrent setting. There exist various notions of causality in pi-calculus, which differ in the treatment of parallel extrusions of the same name. In this paper we present a uniform…

Logic in Computer Science · Computer Science 2018-08-01 Doriana Medic , Claudio Antares Mezzina , Iain Phillips , Nobuko Yoshida

This paper presents a study of causality in a reversible, concurrent setting. There exist various notions of causality in pi-calculus, which differ in the treatment of parallel extrusions of the same name. In this paper we present a uniform…

Formal Languages and Automata Theory · Computer Science 2018-08-28 Doriana Medic , Claudio Antares Mezzina , Iain Phillips , Nobuko Yoshida

Existing formalisms for the algebraic specification and representation of networks of reversible agents suffer some shortcomings. Despite multiple attempts, reversible declensions of the Calculus of Communicating Systems (CCS) do not offer…

Logic in Computer Science · Computer Science 2021-03-30 Clément Aubert , Doriana Medić

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

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

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

We consider two characterisations of the may and must testing preorders for a probabilistic extension of the finite pi-calculus: one based on notions of probabilistic weak simulations, and the other on a probabilistic extension of a…

Logic in Computer Science · Computer Science 2012-01-12 Yuxing Deng , Alwen Tiu
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