Computational Modelling for Combinatorial Game Strategies

Răzvan Diaconescu

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arXiv · 2408.03955

Computational Modelling for Combinatorial Game Strategies

Răzvan Diaconescu

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Abstract

We develop a generic computational model that can be used effectively for establishing the existence of winning strategies for concrete finite combinatorial games. Our modelling is (equational) logic-based involving advanced techniques from algebraic specification, and it can be executed by equational programming systems such as those from the OBJ-family. We show how this provides a form of experimental mathematics for strategy problems involving combinatorial games. We do this by defining general methods and by illustrating these with case studies.

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Răzvan Diaconescu. 2024-07-23. Computational Modelling for Combinatorial Game Strategies. https://arxiv.org/abs/2408.03955

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