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Toward a Formal Foundation for Time Travel in Stories and Games

  • Michiel Helvensteijn
  • Farhad Arbab
Chapter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9660)

Abstract

Time-travel is a popular topic not only in science fiction, but in physics as well, especially when it concerns the notion of “changing the past”. It turns out that if time-travel exists, it will follow certain logical rules. In this paper we apply the tools of discrete mathematics to two such sets of rules from theoretical physics: the Novikov Self Consistency Principle and the Many Worlds Interpretation of quantum mechanics. Using temporal logic, we can encode the dynamics of a time-travel story or game, and model-check them for adherence to the rules. We also present the first ever game-engine following these rules, allowing the development of technically accurate time-travel games.

Keywords

Time Travel Temporal Logic Causality Chain Kripke Structure Causality Diagram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Universiteit LeidenLeidenThe Netherlands
  2. 2.University College LondonLondonUK
  3. 3.Centrum voor Wiskunde En InformaticaAmsterdamThe Netherlands

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