2011•Journal of cellular automataRequires access

A Simple Universal Turing Machine for the Game of Life Turing Machine.

Paul Rendell

Abstract

In this chapter we present a simple universal Turing machine which is small enough to fit into the design limits of the Turing machine build in Conway’s Game of Life by the author. That limit is 8 symbols and 16 states. By way of comparison we also describe one of the smallest known universal Turing machines due to Rogozhin which has 6 symbols and 4 states.

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Key concepts: Universal Turing machine, Turing machine examples, Super-recursive algorithm, Description number, Turing machine, NSPACE, Non-deterministic Turing machine, Time hierarchy theorem