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arxiv: 0906.3213 · v1 · submitted 2009-06-17 · 💻 cs.CC · cs.FL

Intrinsically Universal Cellular Automata

classification 💻 cs.CC cs.FL
keywords universalityautomatacellularintrinsicintrinsicallyuniversaladvocatesbefore
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This talk advocates intrinsic universality as a notion to identify simple cellular automata with complex computational behavior. After an historical introduction and proper definitions of intrinsic universality, which is discussed with respect to Turing and circuit universality, we discuss construction methods for small intrinsically universal cellular automata before discussing techniques for proving non universality.

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