Fractal Dimension versus Process Complexity

We look at small Turing machines (TMs) that work with just two colors (alphabet symbols) and either two or three states. For any particular such machine τ and any particular input x, we consider what we call the space-time diagram which is basically the collection of consecutive tape configurations...

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Bibliographic Details
Main Authors: Joost J. Joosten, Fernando Soler-Toscano, Hector Zenil
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/5030593