Wiring a Turing Machine in the Cellular Automaton and the Surjectivity Problem for a Parallel Map
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概要
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In [18], a sketch of the proof was given as a short note for the unsolvability of the decision problem for the surjectivity of parallel maps induced by d-dimensional cellular automata (d>1). This paper provides a full proof for the theorem. Wiring mechanism, which provides an essential idea in the proof, of Turing machines in cellular automata is also given. Rationale for the definitions of the simulators employed in the mechanism are also provided.
- 1985-03-30
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- Wiring a Turing Machine in the Cellular Automaton and the Surjectivity Problem for a Parallel Map