# Concurrent games and full completeness

@article{Abramsky1999ConcurrentGA, title={Concurrent games and full completeness}, author={Samson Abramsky and Paul-Andr{\'e} Melli{\`e}s}, journal={Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)}, year={1999}, pages={431-442} }

A new concurrent form of game semantics is introduced. This overcomes the problems which had arisen with previous, sequential forms of game semantics in modelling Linear Logic. It also admits an elegant and robust formalization. A Full Completeness Theorem for Multiplicative-Additive Linear Logic is proved for this semantics.

## 195 Citations

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- Computer Science2011 IEEE 26th Annual Symposium on Logic in Computer Science
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A bi category of very general nondeterministic concurrent games and strategies is presented to formalize distributed games in which both Player and Opponent can interact in highly distributed fashion, without, for instance, enforcing that their moves alternate.

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- Computer ScienceSIGL
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This work presents a gentle introduction to game semantics, focussing on high-level ideas and examples with a view to providing a bridge to more technical literature.

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Connections between the sequentiality/concurrency distinction and the semantics of proofs are investigated, with particular reference to games and Linear Logic.

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- Computer ScienceCiE
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Interestingly, it is shown that associating a concurrent strategy to an asynchronous strategy can be seen as a semantical counterpart of the focusing property of linear logic.

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This work introduces L-nets as a game model of concurrent interaction that results into partial orders, hence allowing for parallelism in Games Semantics and Ludics.

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- Computer ScienceArXiv
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A semantics for Milner's pi-calculus is defined, with three main novelties, based on reduction semantics, which provides a fully-abstract model for fair testing equivalence and has a strong game semantical flavor in the sense of Hyland-Ong and Nickau.

Fully-abstract concurrent games for π

- Computer Science
- 2013

A semantics for Milner's pi-calculus is defined, with three main novelties, based on reduction semantics, which provides a fully-abstract model for fair testing equivalence and has a strong game semantical flavor in the sense of Hyland-Ong and Nickau.

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- Computer ScienceArXiv
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The full abstraction proof of game semantics for actors is given, based on the work on the algebraic theory of actors andgame semantics for asynchronous $\pi$ calculus.

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