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Axioms are presented which encapsulate the properties satisfied by categories of games which form the basis of results on full abstraction for PCF and other programming languages, and on full completeness for various logics and type…

Logic in Computer Science · Computer Science 2014-01-22 Samson Abramsky

Many privacy-type properties of security protocols can be modelled using trace equivalence properties in suitable process algebras. It has been shown that such properties can be decided for interesting classes of finite processes (i.e.,…

Cryptography and Security · Computer Science 2016-10-27 David Baelde , Stéphanie Delaune , Lucca Hirschi

This paper presents a new model for word sense disambiguation formulated in terms of evolutionary game theory, where each word to be disambiguated is represented as a node on a graph whose edges represent word relations and senses are…

Artificial Intelligence · Computer Science 2017-04-07 Rocco Tripodi , Marcello Pelillo

Program equivalence in linear contexts, where programs are used or executed exactly once, is an important issue in programming languages. However, existing techniques like those based on bisimulations and logical relations only target at…

Programming Languages · Computer Science 2011-10-12 Yuxin Deng , Yu Zhang

Proofs by logical relations play a key role to establish rich properties such as normalization or contextual equivalence. They are also challenging to mechanize. In this paper, we describe the completeness proof of algorithmic equality for…

Logic in Computer Science · Computer Science 2015-07-30 Andrew Cave , Brigitte Pientka

Levy-Longo Trees and Bohm Trees are the best known tree structures on the {\lambda}-calculus. We give general conditions under which an encoding of the {\lambda}-calculus into the {\pi}-calculus is sound and complete with respect to such…

Logic in Computer Science · Computer Science 2023-06-22 Davide Sangiorgi , Xian Xu

We define a model for linear logic based on two well-known ingredients: games and simulations. This model is interesting in the following respect: while it is obvious that the objects interpreting formulas are games and that everything is…

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

Semantic textual similarity (STS) systems are designed to encode and evaluate the semantic similarity between words, phrases, sentences, and documents. One method for assessing the quality or authenticity of semantic information encoded in…

Computation and Language · Computer Science 2017-01-04 Kimberly Glasgow , Matthew Roos , Amy Haufler , Mark Chevillet , Michael Wolmetz

Call-by-need evaluation for the lambda-calculus can be seen as merging the best of call-by-name and call-by-value, namely the wise erasing behaviour of the former and the wise duplicating behaviour of the latter. To better understand how…

Logic in Computer Science · Computer Science 2026-05-08 Beniamino Accattoli , Adrienne Lancelot

Combining local exceptions and first class continuations leads to programs with complex control flow, as well as the possibility of expressing powerful constructs such as resumable exceptions. We describe and compare games models for a…

Logic in Computer Science · Computer Science 2013-09-06 James Laird

We look at intensionality from the perspective of computation. In particular, we review how game semantics has been used to characterize the sequential functional processes, leading to powerful and flexible methods for constructing fully…

Logic in Computer Science · Computer Science 2017-05-16 Samson Abramsky

This article presents a new game semantics for Martin-L\"of type theory (MLTT), in which each game is equipped with selected isomorphism strategies that represent (computational) proofs for (intensional) equality between strategies on the…

Logic in Computer Science · Computer Science 2017-05-04 Norihiro Yamada

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

We examine the relationship between the algebraic lambda-calculus, a fragment of the differential lambda-calculus and the linear-algebraic lambda-calculus, a candidate lambda-calculus for quantum computation. Both calculi are algebraic:…

Logic in Computer Science · Computer Science 2015-07-01 Ali Assaf , Alejandro Díaz-Caro , Simon Perdrix , Christine Tasson , Benoî t Valiron

We develop methods to formally describe and compare games, in order to probe questions of game structure and design, and as a stepping stone to predicting player behavior from design patterns. We define a grammar-like formalism to describe…

Logic in Computer Science · Computer Science 2021-01-05 Paul Riggins , David McPherson

Contextual equivalence is the de facto standard notion of program equivalence. A key theorem is that contextual equivalence is an equational theory. Making contextual equivalence more intensional, for example taking into account the time…

Logic in Computer Science · Computer Science 2024-11-26 Beniamino Accattoli , Adrienne Lancelot , Giulio Manzonetto , Gabriele Vanoni

The pi calculus is a basic theory of mobile communication based on the notion of interaction, which, aimed at analyzing and modelling the behaviors of communication process in communicating and mobile systems, is widely applied to the…

Cryptography and Security · Computer Science 2023-12-06 Fusheng Wu , Jinhui Liu , Yanbing Li , Mingtao Ni

The $\pi$-calculus is the paradigmatical name-passing calculus. While being purely name-passing, it allows the representation of higher-order functions and store. We study how $\pi$-calculus processes can be controlled so that computations…

Logic in Computer Science · Computer Science 2025-04-25 Daniel Hirschkoff , Iwan Quémerais , Davide Sangiorgi

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

In this work we study rank-one quantum games. In particular, we focus on the study of the computability of the entangled value $\omega^*$. We show that the value $\omega^*$ can be efficiently approximated up to a multiplicative factor of 4.…

Quantum Physics · Physics 2013-05-07 T. Cooney , M. Junge , C. Palazuelos , D. Pérez-García