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In previous work with Pous, we defined a semantics for CCS which may both be viewed as an innocent presheaf semantics and as a concurrent game semantics. It is here proved that a behavioural equivalence induced by this semantics on CCS…

Logic in Computer Science · Computer Science 2013-05-28 Tom Hirschowitz

Seeking a general framework for reasoning about and comparing programming languages, we derive a new view of Milner's CCS. We construct a category E of plays, and a subcategory V of views. We argue that presheaves on V adequately represent…

Logic in Computer Science · Computer Science 2011-08-03 Tom Hirschowitz , Damien Pous

Seeking a general framework for reasoning about and comparing programming languages, we derive a new view of Milner's CCS. We construct a category E of 'plays', and a subcategory V of 'views'. We argue that presheaves on V adequately…

Logic in Computer Science · Computer Science 2012-12-13 Tom Hirschowitz , Damien Pous

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

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

Following previous work on CCS, we propose a compositional model for the $\pi$-calculus in which processes are interpreted as sheaves on certain simple sites. Such sheaves are a concurrent form of innocent strategies, in the sense of…

Logic in Computer Science · Computer Science 2023-06-22 Clovis Eberhart , Tom Hirschowitz , Thomas Seiller

The full abstraction result for PCF using game semantics requires one to identify all innocent strategies that are innocently indistinguishable. This involves a quantification over all innocent tests, cf. quantification over all innocent…

Logic in Computer Science · Computer Science 2010-03-02 Martin Churchill , James Laird , Guy McCusker

In this paper we investigate fair computations in the pi-calculus. Following Costa and Stirling's approach for CCS-like languages, we consider a method to label process actions in order to filter out unfair computations. We contrast the…

Logic in Computer Science · Computer Science 2015-07-01 D. Cacciagrano , F. Corradini , C. Palamidessi

We present the first fully abstract normal form bisimulation for call-by-value PCF (PCF$_{\textsf{v}}$). Our model is based on a labelled transition system (LTS) that combines elements from applicative bisimulation, environmental…

Programming Languages · Computer Science 2023-10-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

We present a probabilistic version of PCF, a well-known simply typed universal functional language. The type hierarchy is based on a single ground type of natural numbers. Even if the language is globally call-by-name, we allow a…

Logic in Computer Science · Computer Science 2015-11-05 Thomas Ehrhard , Michele Pagani , Christine Tasson

Geuvers and Jacobs (LMCS 2021) formulated the notion of apartness relation on state-based systems modelled as coalgebras. In this context apartness is formally dual to bisimilarity, and gives an explicit proof system for showing that…

Logic in Computer Science · Computer Science 2024-11-06 Jurriaan Rot , Sebastian Junges , Harsh Beohar

Game semantics is a rich and successful class of denotational models for programming languages. Most game models feature a rather intuitive setup, yet surprisingly difficult proofs of such basic results as associativity of composition of…

Logic in Computer Science · Computer Science 2017-11-30 Clovis Eberhart , Tom Hirschowitz

This is an introduction to Game Semantics based on some lecture notes given at the CLiCS II summer school in Cambridge in 1995. We will focus on the recent (1994) work on Game semantics, which has led to some striking advances in the Full…

Logic in Computer Science · Computer Science 2013-12-03 Samson Abramsky

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

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

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

This paper poses that transition systems constitute a good model of distributed systems only in combination with a criterion telling which paths model complete runs of the represented systems. Among such criteria, progress is too weak to…

Logic in Computer Science · Computer Science 2021-08-26 Rob van Glabbeek

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

Notions of simulation, among other uses, provide a computationally tractable and sound (but not necessarily complete) proof method for language inclusion. They have been comprehensively studied by Lynch and Vaandrager for nondeterministic…

Logic in Computer Science · Computer Science 2023-06-22 Natsuki Urabe , Ichiro Hasuo
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