# A Game Semantics of the Asynchronous π-Calculus

@inproceedings{Laird2005AGS, title={A Game Semantics of the Asynchronous $\pi$-Calculus}, author={James David Laird}, year={2005} }

This paper studies the denotational semantics of the typed asynchronous π-calculus. We describe a simple game semantics of this language, placing it within a rich hierarchy of games models for programming languages, A key element of our account is the identification of suitable categorical structures for describing the interpretation of types and terms at an abstract level. It is based on the notion of closed Freyd category, establishing a connection between our semantics, and that of the…

## 21 Citations

Game Semantics for Type Soundness

- Computer Science2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science
- 2015

This paper uses game semantics to define the meaning of and verify type soundness for a sequence of programming languages, starting with a functional sequential language (the call-by-value simply-typed lambda calculus) and then extending that proof with sub typing, side effects, control effects, and concurrency.

A Categorical Model of an i / o-typed π -calculus

- Computer Science, Mathematics
- 2019

It is shown by a semantic consideration that the π -calculus is equivalent to a core calculus of Concurrent ML, in the same way that a cartesian closed category is a model of the λ-calculus.

Full Abstraction in a Subtyped pi-Calculus with Linear Types

- Computer ScienceCONCUR
- 2011

A concise pi-calculus with directed choices and a theory of subtyping, which shows type-directed embeddings of two known subtyped calculi, one for functions and another for session-based communications, and introduces a new proof method centring on non-deterministic computational adequacy and definability.

Operational Nominal Game Semantics

- Computer ScienceFoSSaCS
- 2015

This work presents a formal correspondence between Laird’s trace semantics and the nominal game model of Murawski and Tzevelekos for RefML, a callby-value language with higher-order references, and gives the first fully abstract trace model for this language.

Typed Event Structures and the π-Calculus – Extended

- Computer Science

The typing system proposed is the first typing system to control behaviour in a true concurrent model of event structures and generalises Winskel’s original event structure semantics of CCS.

A Truly Concurrent Game Model of the Asynchronous \pi -Calculus

- Computer ScienceFoSSaCS
- 2017

A truly concurrent version of the HO/N game model in which a play is not a sequence but a directed acyclic graph DAG with two kinds edges, justification pointers and causal edges is proposed, giving the first truly concurrent game semantics for the asynchronous $$\pi $$-calculus.

Games, Mobile Processes, and Functions

- Computer ScienceCSL
- 2022

A tight connection is established between two models of the λ-Calculus, namely Milner’s encoding into the π-calculus, and operational game semantics (OGS), and the equivalences induced by all these LTSs coincide, which allow for transfer results and techniques between π and OGS.

From Asynchronous Games to Concurrent Games

- Computer Science
- 2008

It is shown here that asynchronous games, which combine true concurrency and game semantics, can be used to provide a precise link between these two kind of interactive semantics, thus laying foundations for game semantics of concurrent systems.

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