Turing Completeness and Sid Meier's Civilization

Fuente: arXiv
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Auteur principal: de Wynter, Adrian
Format: Preprint
Publié: 2021
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author de Wynter, Adrian
author_facet de Wynter, Adrian
contents We prove that three strategy video games from the Sid Meier's Civilization series: Sid Meier's Civilization: Beyond Earth, Sid Meier's Civilization V, and Sid Meier's Civilization VI, are Turing complete. We achieve this by building three universal Turing machines-one for each game-using only the elements present in the games, and using their internal rules and mechanics as the transition function. The existence of such machines imply that under the assumptions made, the games are undecidable. We show constructions of these machines within a running game session, and we provide a sample execution of an algorithm-the three-state Busy Beaver-with one of our machines.
format Preprint
id arxiv_https___arxiv_org_abs_2104_14647
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Turing Completeness and Sid Meier's Civilization
de Wynter, Adrian
Computational Complexity
Artificial Intelligence
We prove that three strategy video games from the Sid Meier's Civilization series: Sid Meier's Civilization: Beyond Earth, Sid Meier's Civilization V, and Sid Meier's Civilization VI, are Turing complete. We achieve this by building three universal Turing machines-one for each game-using only the elements present in the games, and using their internal rules and mechanics as the transition function. The existence of such machines imply that under the assumptions made, the games are undecidable. We show constructions of these machines within a running game session, and we provide a sample execution of an algorithm-the three-state Busy Beaver-with one of our machines.
title Turing Completeness and Sid Meier's Civilization
topic Computational Complexity
Artificial Intelligence
url https://arxiv.org/abs/2104.14647