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arXiv · 1604.04390

Games and Strategies as Event Structures

Simon Castellan·Pierre Clairambault·Silvain Rideau·Glynn Winskel
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Abstract

In 2011, Rideau and Winskel introduced concurrent games and strategies as event structures, generalizing prior work on causal formulations of games. In this paper we give a detailed, self-contained and slightly-updated account of the results of Rideau and Winskel: a notion of pre-strategy based on event structures; a characterisation of those pre-strategies (deemed strategies) which are preserved by composition with a copycat strategy; and the construction of a bicategory of these strategies. Furthermore, we prove that the corresponding category has a compact closed structure, and hence forms the basis for the semantics of concurrent higher-order computation.

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Simon Castellan, Pierre Clairambault, Silvain Rideau, Glynn Winskel. 2017-09-27. Games and Strategies as Event Structures. https://doi.org/10.23638/lmcs-13(3%3A35)2017

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