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Capabilities of ultrametric automata with one, two, and three states

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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.

Original languageEnglish
Title of host publicationSOFSEM 2016
Subtitle of host publicationTheory and Practice of Computer Science - 42nd International Conference on Current Trends in Theory and Practice of Computer Science, Proceedings
EditorsRūsiņš Mārtiņš Freivalds, Gregor Engels, Barbara Catania
PublisherSpringer Verlag
Pages253-264
Number of pages12
ISBN (Print)9783662491911
DOIs
Publication statusPublished - 2016
Event42nd International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2016 - Harrachov, Czech Republic
Duration: 23 Jan 201628 Jan 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9587
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference42nd International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2016
Country/TerritoryCzech Republic
CityHarrachov
Period23/01/1628/01/16

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