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We introduce a trace semantics for a call-by-value language with full polymorphism and higher-order references. This is an operational game semantics model based on a nominal interpretation of parametricity whereby polymorphic values are…

Programming Languages · Computer Science 2016-08-16 Guilhem Jaber , Nikos Tzevelekos

Game semantics is a trace-like denotational semantics for programming languages where the notion of legal observable behaviour of a term is defined combinatorially, by means of rules of a game between the term (the "Proponent") and its…

Logic in Computer Science · Computer Science 2012-01-24 Dan R. Ghica , Nikos Tzevelekos

In this report, we propose a game semantics model of intuitionistic linear logic with a notion of brackets and a trace operator. This model is a revised version of Conway games augmented with an algebraicly defined gain which enable to…

Category Theory · Mathematics 2007-05-23 Nicolas Tabareau

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 establish a tight connection between two models of the $\lambda$-calculus, namely Milner's encoding into the $\pi$-calculus (precisely, the Internal $\pi$-calculus), and operational game semantics (OGS). We first investigate the…

Logic in Computer Science · Computer Science 2026-05-06 Guilhem Jaber , Davide Sangiorgi

Traces form a coarse notion of semantic equivalence between states of a process, and have been studied coalgebraically for various types of system. We instantiate the finitary coalgebraic trace semantics framework of Hasuo et al. for…

Logic in Computer Science · Computer Science 2026-03-03 Benjamin Plummer , Corina Cirstea

Game semantics is a denotational semantics presenting compositionally the computational behaviour of various kinds of effectful programs. One of its celebrated achievement is to have obtained full abstraction results for programming…

Logic in Computer Science · Computer Science 2024-09-25 Simon Castellan , Pierre Clairambault

Cousot and Cousot introduced and studied a general past/future-time specification language, called mu*-calculus, featuring a natural time-symmetric trace-based semantics. The standard state-based semantics of the mu*-calculus is an abstract…

Logic in Computer Science · Computer Science 2007-05-23 Roberto Giacobazzi , Francesco Ranzato

Large Language Model interfaces are increasingly verbose, exposing intermediate reasoning traces alongside final answers. Traces are framed as transparency mechanisms, yet it is unclear how people use them to solve problems. We report a…

Human-Computer Interaction · Computer Science 2026-05-26 Daniela Fernandes , Daniel Buschek , Lev Tankelevitch , Thomas Kosch , Robin Welsch

In search for a foundational framework for reasoning about observable behavior of programs that may not terminate, we have previously devised a trace-based big-step semantics for While. In this semantics, both traces and evaluation…

Logic in Computer Science · Computer Science 2019-07-16 Keiko Nakata , Tarmo Uustalu

Guarded Interaction Trees are a structure and a fully formalized framework for representing higher-order computations with higher-order effects in Rocq. We present an extension of Guarded Interaction Trees to support formal reasoning about…

Logic in Computer Science · Computer Science 2025-12-15 Sergei Stepanenko , Emma Nardino , Virgil Marionneau , Dan Frumin , Amin Timany , Lars Birkedal

We describe a denotational semantics for an abstract effect system for a higher-order, shared-variable concurrent programming language. We prove the soundness of a number of general effect-based program equivalences, including a…

Programming Languages · Computer Science 2015-10-12 Nick Benton , Martin Hofmann , Vivek Nigam

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

Formal semantics offers a complete and rigorous definition of a language. It is important to define different semantic models for a language and different models serve different purposes. Building equivalence between different semantic…

Logic in Computer Science · Computer Science 2010-02-18 Shamim H. Ripon , Michael Butler

Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are…

Logic in Computer Science · Computer Science 2015-07-01 Lukasz Mikulski

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

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

In previous work with Pous, we defined a semantics for CCS which may both be viewed as an innocent form of presheaf semantics and as a concurrent form of game semantics. We define in this setting an analogue of fair testing equivalence,…

Logic in Computer Science · Computer Science 2015-07-01 Tom Hirschowitz

The behavior of concurrent, asynchronous procedures depends in general on the call context, because of the global protocol that governs scheduling. This context cannot be specified with the state-based Hoare-style contracts common in…

Logic in Computer Science · Computer Science 2023-10-09 Reiner Hähnle , Eduard Kamburjan , Marco Scaletta

We present a framework for symbolically executing and model checking higher-order programs with external (open) methods. We focus on the client-library paradigm and in particular we aim to check libraries with respect to any definable…

Programming Languages · Computer Science 2020-02-24 Yu-Yang Lin , Nikos Tzevelekos
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