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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

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

In order to understand the relative expressive power of larger concurrent programming languages, we analyze translations of small process calculi which model the communication and synchronization of concurrent processes. The source language…

Logic in Computer Science · Computer Science 2021-10-04 Manfred Schmidt-Schauß , David Sabel

We study two fundamental problems of distributed computing, consensus and approximate agreement, through a novel approach for proving lower bounds and impossibility results, that we call the asynchronous speedup theorem. For a given…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum

In order to understand the relative expressive power of larger concurrent programming languages, we analyze translations of small process calculi which model the communication and synchronization of concurrent processes. The source language…

Logic in Computer Science · Computer Science 2021-08-26 Manfred Schmidt-Schauß , David Sabel

We propose an extension of the asynchronous pi-calculus with a notion of random choice. We define an operational semantics which distinguishes between probabilistic choice, made internally by the process, and nondeterministic choice, made…

Programming Languages · Computer Science 2007-05-23 Oltea Mihaela Herescu , Catuscia Palamidessi

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

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

Providing explanations for the outputs of artificial neural networks (ANNs) is crucial in many contexts, such as critical systems, data protection laws and handling adversarial examples. Logic-based methods can offer explanations with…

Logic in Computer Science · Computer Science 2025-05-27 Levi Cordeiro Carvalho , Saulo A. F. Oliveira , Thiago Alves Rocha

Computation can be considered by taking into account two dimensions: extensional versus intensional, and sequential versus concurrent. Traditionally sequential extensional computation can be captured by the lambda-calculus. However, recent…

Logic in Computer Science · Computer Science 2014-06-24 Thomas Given-Wilson

Exponential error bounds achievable by universal coding and decoding are derived for frame-asynchronous discrete memoryless %asynchronous multiple access channels with two senders, via the method of subtypes, a refinement of the method of…

Information Theory · Computer Science 2020-02-04 Lóránt Farkas , Tamás Kói

The translation of written language has been known since the 3rd century BC; however, its necessity has become increasingly common in the information age. Today, many translators exist, based on encoder-decoder deep architectures,…

Computation and Language · Computer Science 2025-11-18 Ronit D. Gross , Yanir Harel , Ido Kanter

This thesis embarks on a comprehensive exploration of formal computational models that underlie typed programming languages. We focus on programming calculi, both functional (sequential) and concurrent, as they provide a compelling rigorous…

Logic in Computer Science · Computer Science 2024-08-16 Joseph William Neal Paulus

Choreographies are widely used for the specification of concurrent and distributed software architectures. Since asynchronous communications are ubiquitous in real-world systems, previous works have proposed different approaches for the…

Programming Languages · Computer Science 2017-11-28 Luís Cruz-Filipe , Fabrizio Montesi

In synchronous rewriting, the productions of two rewriting systems are paired and applied synchronously in the derivation of a pair of strings. We present a new synchronous rewriting system and argue that it can handle certain phenomena…

cmp-lg · Computer Science 2008-02-03 Owen Rambow , Giorgio Satta

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 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 provide a characterisation of strong bisimilarity in a fragment of CCS that contains only prefix, parallel composition, synchronisation and a limited form of replication. The characterisation is not an axiomatisation, but is instead…

Logic in Computer Science · Computer Science 2008-10-14 Daniel Hirschkoff , Damien Pous

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 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