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arXiv · 1711.10860

What's in a game? A theory of game models

Clovis Eberhart·Tom Hirschowitz
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Abstract

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 strategies. We set out to unify these models into a basic abstract framework for game semantics, game settings. Our main contribution is the generic construction, for any game setting, of a category of games and strategies. Furthermore, we extend the framework to deal with innocence, and prove that innocent strategies form a subcategory. We finally show that our constructions cover many concrete cases, mainly among the early models and the very recent sheaf-based ones.

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Clovis Eberhart, Tom Hirschowitz. 2017-11-29. What's in a game? A theory of game models. https://arxiv.org/abs/1711.10860

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