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We investigate a graphical representation of session invocation interdependency in order to prove progress for the pi-calculus with sessions under the usual session typing discipline. We show that those processes whose associated dependency…

Programming Languages · Computer Science 2010-10-28 Marco Carbone , Søren Debois

We present a concurrent operational Petri net semantics for the join-calculus, a process calculus for specifying concurrent and distributed systems. There often is a gap between system specifications and the actual implementations caused by…

Logic in Computer Science · Computer Science 2012-08-15 Stephan Mennicke

There is an apparent similarity between the descriptions of small-step operational semantics of imperative programs and the semantics of finite automata, so defining an abstraction mapping from semantics to automata and proving a simulation…

Programming Languages · Computer Science 2014-09-30 Nadezhda Baklanova , Wilmer Ricciotti , Jan-Georg Smaus , Martin Strecker

Process calculi and graph transformation systems provide models of reactive systems with labelled transition semantics. While the semantics for process calculi is compositional, this is not the case for graph transformation systems, in…

Logic in Computer Science · Computer Science 2011-08-03 Andrei Dorman , Tobias Heindel

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

We study the lambda-mu-calculus, extended with explicit substitution, and define a compositional output-based interpretation into a variant of the pi-calculus with pairing that preserves single-step explicit head reduction with respect to…

Logic in Computer Science · Computer Science 2016-02-22 Steffen van Bakel , Maria Grazia Vigliotti

We give an axiomatisation of strong bisimilarity on a small fragment of CCS that does not feature the sum operator. This axiomatisation is then used to derive congruence of strong bisimilarity in the finite pi-calculus in absence of sum. To…

Logic in Computer Science · Computer Science 2015-07-01 Daniel Hirschkoff , Damien Pous

We present a process semantics for the purely additive fragment of linear logic in which formulas denote protocols and (equivalence classes of) proofs denote multi-channel concurrent processes. The polycategorical model induced by this…

Category Theory · Mathematics 2010-03-03 C. A. Pastro

In the logic programming paradigm, it is difficult to develop an elegant solution for generating distinguishing formulae that witness the failure of open-bisimilarity between two pi-calculus processes; this was unexpected because the…

Logic in Computer Science · Computer Science 2017-06-01 Ki Yung Ahn , Ross Horne , Alwen Tiu

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

Applicative bisimulation is a coinductive technique to check program equivalence in higher-order functional languages. It is known to be sound, and sometimes complete, with respect to context equivalence. In this paper we show that…

Logic in Computer Science · Computer Science 2015-06-23 Ugo Dal Lago , Alessandro Rioli

We present a variant of the theory of compatible functions on relations, due to Sangiorgi and Pous. We show that the up-to context proof technique for bisimulation is compatible in this setting for two subsets of the pi-calculus: the…

Logic in Computer Science · Computer Science 2022-06-06 Enguerrand Prebet

In this paper, we establish the foundations of a novel logical framework for the {\pi}-calculus, based on the deduction-as-computation paradigm. Following the standard proof-theoretic interpretation of logic programming, we represent…

Logic in Computer Science · Computer Science 2025-01-17 Matteo Acclavio , Giulia Manara

The notion of Reactive Turing machine (RTM) was proposed as an orthogonal extension of Turing machines with interaction. RTMs are used to define the notion of executable transition system in the same way as Turing machines are used to…

Logic in Computer Science · Computer Science 2017-02-21 Bas Luttik , Fei Yang

We study the correspondence between a concurrent lambda-calculus in administrative, continuation passing style and a pi-calculus and we derive a termination result for the latter.

Programming Languages · Computer Science 2011-02-14 Roberto Amadio

A famous result by Milner is that the lambda-calculus can be simulated inside the pi-calculus. This simulation, however, holds only modulo strong bisimilarity on processes, i.e. there is a slight mismatch between beta-reduction and how it…

Programming Languages · Computer Science 2013-02-27 Beniamino Accattoli

Based on the work on the algebraic theory of actors and game semantics for asynchronous $\pi$ calculus, we give the full abstraction proof of game semantics for actors.

Logic in Computer Science · Computer Science 2019-01-08 Yong Wang

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

This paper introduces the counterpart of strong bisimilarity for labelled transition systems extended with time-out transitions. It supports this concept through a modal characterisation, congruence results for a standard process algebra…

Logic in Computer Science · Computer Science 2023-01-25 Rob van Glabbeek

In this paper, we show that theory of processes can be reduced to the theory of spatial logic. Firstly, we propose a spatial logic SL for higher order pi-calculus, and give an inference system of SL. The soundness and incompleteness of SL…

Logic in Computer Science · Computer Science 2012-11-20 Zining Cao