We introduce a notion of ultrametric automata and Turing machines using p-adic numbers to describe random branching of the process of computation. These automata have properties similar to the properties of probabilistic automata but complexity of probabilistic automata and complexity of ultrametric automata can differ very much. © 2013 Springer-Verlag.
CITATION STYLE
Freivalds, R. (2013). Ultrametric finite automata and Turing machines. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7907 LNCS, pp. 1–11). https://doi.org/10.1007/978-3-642-38771-5_1
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