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Related papers: A Generic Type System for Higher-Order $\Psi$-calc…

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This work proposes tractable bisimulations for the higher-order pi-calculus with session primitives (HOpi) and offers a complete study of the expressivity of its most significant subcalculi. First we develop three typed bisimulations, which…

Logic in Computer Science · Computer Science 2015-02-11 Dimitrios Kouzapas , Jorge A. Pérez , Nobuko Yoshida

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

Classical Processes (CP) is a calculus where the proof theory of classical linear logic types communicating processes with mobile channels, a la pi-calculus. Its construction builds on a recent propositions as types correspondence between…

Logic in Computer Science · Computer Science 2018-02-09 Fabrizio Montesi

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

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

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

Behavioural type systems ensure more than the usual safety guarantees of static analysis. They are based on the idea of "types-as-processes", providing dedicated type algebras for particular properties, ranging from protocol compatibility…

Programming Languages · Computer Science 2014-08-08 Simon J. Gay , Nils Gesbert , António Ravara

Drossopoulou and Noble argue persuasively for the need for a means to express policy in object-capability-based systems. We investigate a practical means to realize their aim via the Curry-Howard isomorphism. Specifically, we investigate…

Cryptography and Security · Computer Science 2013-08-01 Lucius G Meredith , Mike Stay , Sophia Drossopoulou

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

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

To celebrate the 30th edition of EXPRESS and the 20th edition of SOS we overview how session types can be expressed in a type theory for the standard $\pi$-calculus by means of a suitable encoding. The encoding allows one to reuse results…

Programming Languages · Computer Science 2023-09-15 Ilaria Castellani , Ornela Dardha , Luca Padovani , Davide Sangiorgi

Shape types are a general concept of process types which work for many process calculi. We extend the previously published Poly* system of shape types to support name restriction. We evaluate the expressiveness of the extended system by…

Logic in Computer Science · Computer Science 2010-04-01 Jan Jakubuv , J. B. Wells

We present an approach to modeling computational calculi using higher category theory. Specifically we present a fully abstract semantics for the pi-calculus. The interpretation is consistent with Curry-Howard, interpreting terms as typed…

Logic in Computer Science · Computer Science 2015-09-23 Mike Stay , Lucius Gregory Meredith

This paper aims at carrying out termination proofs for simply typed higher-order calculi automatically by using ordering comparisons. To this end, we introduce the computability path ordering (CPO), a recursive relation on terms obtained by…

Logic in Computer Science · Computer Science 2019-03-14 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

The lambda-Pi-calculus Modulo is a variant of the lambda-calculus with dependent types where beta-conversion is extended with user-defined rewrite rules. It is an expressive logical framework and has been used to encode logics and type…

Logic in Computer Science · Computer Science 2015-07-30 Ronan Saillard

Many type systems have been presented in the literature for variants of the pi-calculus, but none of them are able to handle composite subjects such as those found in the language epi, which features polyadic synchronisation. The purpose of…

Programming Languages · Computer Science 2024-11-22 Luca Aceto , Daniele Gorla , Stian Lybech

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

Process calculi based on logic, such as $\pi$DILL and CP, provide a foundation for deadlock-free concurrent programming. However, in previous work, there is a mismatch between the rules for constructing proofs and the term constructors of…

Logic in Computer Science · Computer Science 2019-04-16 Wen Kokke , Fabrizio Montesi , Marco Peressotti

Compositionality proofs in higher-order languages are notoriously involved, and general semantic frameworks guaranteeing compositionality are hard to come by. In particular, Turi and Plotkin's bialgebraic abstract GSOS framework, which has…

Logic in Computer Science · Computer Science 2026-05-08 Sergey Goncharov , Stefan Milius , Lutz Schröder , Stelios Tsampas , Henning Urbat
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