Computational Modelling for Combinatorial Game Strategies

Fuente: arXiv
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Main Author: Diaconescu, Răzvan
Format: Preprint
Published: 2024
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author Diaconescu, Răzvan
author_facet Diaconescu, Răzvan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03955
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Computational Modelling for Combinatorial Game Strategies
Diaconescu, Răzvan
Logic in Computer Science
Computer Science and Game Theory
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.
title Computational Modelling for Combinatorial Game Strategies
topic Logic in Computer Science
Computer Science and Game Theory
url https://arxiv.org/abs/2408.03955