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Some results on time-varying and relativised cellular automata. (English) Zbl 0761.68068
Summary: Cellular automata (CA) are parallel language recognition devices. The notion of a time-varying CA (TVCA) is introduced. In a TVCA, the transition function can vary with time, and the variation is controlled by a prespecified language. This language can be viewed as an oracle to which the TVCA makes implicit queries; thus TVCA provide a mechanism for defining relativised CA. The recognition capabilities of CA and TVCA are compared. TVCA as relativised CA are formalised, and the power of this implicit query mechanism is compared with the traditional oracle access in Turing machines.

MSC:
68Q80 Cellular automata (computational aspects)
68Q05 Models of computation (Turing machines, etc.) (MSC2010)
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