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We study Milner's encoding of the call-by-value $\lambda$-calculus into the $\pi$-calculus. We show that, by tuning the encoding to two subcalculi of the $\pi$-calculus (Internal $\pi$ and Asynchronous Local $\pi$), the equivalence on…

Logic in Computer Science · Computer Science 2022-02-08 Adrien Durier , Daniel Hirschkoff , Davide Sangiorgi

We study Milner's encoding of the call-by-value $\lambda$-calculus into the $\pi$-calculus. We show that, by tuning the encoding to two subcalculi of the $\pi$-calculus (Internal $\pi$ and Asynchronous Local $\pi$), the equivalence on…

Logic in Computer Science · Computer Science 2021-12-16 Adrien Durier , Daniel Hirschkoff , Davide Sangiorgi

We make a mixture of Milner's $\pi$-calculus and our previous work on truly concurrent process algebra, which is called $\pi_{tc}$. We introduce syntax and semantics of $\pi_{tc}$, its properties based on strongly truly concurrent…

Logic in Computer Science · Computer Science 2017-04-26 Yong Wang

We define a semantics for Milner's pi-calculus, with three main novelties. First, it provides a fully-abstract model for fair testing equivalence, whereas previous semantics covered variants of bisimilarity and the may and must testing…

Logic in Computer Science · Computer Science 2013-10-17 Clovis Eberhart , Tom Hirschowitz , Thomas Seiller

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

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

In game semantics and related approaches to programming language semantics, programs are modelled by interaction dialogues. Such models have recently been used in the design of new compilation methods, e.g. for hardware synthesis or for…

Logic in Computer Science · Computer Science 2015-07-01 Ulrich Schöpp

We consider a hierarchy of four typed call-by-value languages with either higher-order or ground-type references and with either callcc or no control operator.Our first result is a fully abstract trace model for the most expressive setting,…

Logic in Computer Science · Computer Science 2021-01-22 Guilhem Jaber , Andrzej S. Murawski

Game-theoretic characterizations of process equivalences traditionally form a central topic in concurrency; for example, most equivalences on the classical linear-time / branching-time spectrum come with such characterizations. Recent work…

Logic in Computer Science · Computer Science 2025-01-28 Jonas Forster , Lutz Schröder , Paul Wild

The probabilistic (or quantitative) modal mu-calculus is a fixed-point logic de- signed for expressing properties of probabilistic labeled transition systems (PLTS). Two semantics have been studied for this logic, both assigning to every…

Logic in Computer Science · Computer Science 2015-07-01 Matteo Mio

This work exploits the logical foundation of session types to determine what kind of type discipline for the pi-calculus can exactly capture, and is captured by, lambda-calculus behaviours. Leveraging the proof theoretic content of the…

Logic in Computer Science · Computer Science 2018-01-26 Bernardo Toninho , Nobuko Yoshida

We refine a model for linear logic based on two well-known ingredients: games and simulations. We have already shown that usual simulation relations form a sound notion of morphism between games; and that we can interpret all linear logic…

Logic in Computer Science · Computer Science 2009-05-26 Pierre Hyvernat

We investigate program equivalence for linear higher-order(sequential) languages endowed with primitives for computational effects. More specifically, we study operationally-based notions of program equivalence for a linear…

Programming Languages · Computer Science 2021-06-25 Ugo Dal Lago , Francesco Gavazzo

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

I present a formal connection between algebraic effects and game semantics, two important lines of work in programming languages semantics with applications in compositional software verification. Specifically, the algebraic signature…

Programming Languages · Computer Science 2022-11-04 Jérémie Koenig

We present a formalisation in Agda of the theory of concurrent transitions, residuation, and causal equivalence of traces for the pi-calculus. Our formalisation employs de Bruijn indices and dependently-typed syntax, and aligns the "proved…

Logic in Computer Science · Computer Science 2017-02-07 Roly Perera , James Cheney

Game semantics is a powerful method of semantic analysis for programming languages. It gives mathematically accurate models ("fully abstract") for a wide variety of programming languages. Game semantic models are combinatorial…

Programming Languages · Computer Science 2017-12-04 Dan R. Ghica , Khulood Alyahya

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

Interactive behaviors are ubiquitous in modern cryptography, but are also present in $\lambda$-calculi, in the form of higher-order constructions. Traditionally, however, typed $\lambda$-calculi simply do not fit well into cryptography,…

Logic in Computer Science · Computer Science 2015-06-12 Alberto Cappai , Ugo Dal Lago

In this paper we introduce a typed, concurrent $\lambda$-calculus with references featuring explicit substitutions for variables and references. Alongside usual safety properties, we recover strong normalization. The proof is based on a…

Logic in Computer Science · Computer Science 2021-02-11 Yann Hamdaoui , Benoît Valiron
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