Abstract
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.
The research was supported by Project 271/2012 from the Latvian Council of Science.
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Freivalds, R. (2013). Ultrametric Finite Automata and Turing Machines. In: Béal, MP., Carton, O. (eds) Developments in Language Theory. DLT 2013. Lecture Notes in Computer Science, vol 7907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38771-5_1
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DOI: https://doi.org/10.1007/978-3-642-38771-5_1
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