Ultrametric Algorithms and Automata

6533b858fe1ef96bd12b6c8f

RESEARCH PRODUCT

Ultrametric Algorithms and Automata

subject

TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES Theoretical computer science Finite-state machine Computer science Computation Stochastic matrix Nonlinear Sciences::Cellular Automata and Lattice Gases Automaton Turing machine symbols.namesake TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Probabilistic automaton symbols Automata theory Ultrametric space Computer Science::Formal Languages and Automata Theory MathematicsofComputing_DISCRETEMATHEMATICS

description

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.

year	journal	country	edition	language
2015-01-01

https://doi.org/10.1007/978-3-319-21819-9_2

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