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Capabilities of Ultrametric Automata with One, Two, and Three States

  • Maksims DimitrijevsEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9587)

Abstract

Ultrametric automata use p-adic numbers to describe the random branching of the process of computation. Previous research has shown that ultrametric automata can have a significant decrease in computing complexity. In this paper we consider the languages that can be recognized by one-way ultrametric automata with one, two, and three states. We also show an example of a promise problem that can be solved by ultrametric integral automaton with three states.

Keywords

Prime Number Binary Tree Turing Machine Regular Language Input Word 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Faculty of ComputingUniversity of LatviaRigaLatvia

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