Describing periodicity in two-way deterministic finite automata using transformation semigroups

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00050221" target="_blank" >RIV/00216224:14310/11:00050221 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-642-22321-1_28" target="_blank" >http://dx.doi.org/10.1007/978-3-642-22321-1_28</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-642-22321-1_28" target="_blank" >10.1007/978-3-642-22321-1_28</a>

Result language

angličtina

Original language name

Describing periodicity in two-way deterministic finite automata using transformation semigroups

Original language description

A framework for the study of periodic behaviour of two-way deterministic finite automata (2DFA) is developed. Computations of 2DFAs are represented by a two-way analogue of transformation semigroups, every element of which describes the behaviour of a 2DFA on a certain string x. A subsemigroup generated by this element represents the behaviour on strings in x^+. The main contribution of this paper is a description of all such monogenic subsemigroups up to isomorphism. This characterization is then usedto show that transforming an n-state 2DFA over a one-letter alphabet to an equivalent sweeping 2DFA requires exactly n + 1 states, and transforming it to a one-way automaton requires exactly max{G(n-l) + l + 1 | 0 &lt;= l &lt;= n} states, where G(k) is the maximum order of a permutation of k elements.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F1313" target="_blank" >GA201/09/1313: Algebraic Methods in Automata and Formal Language Theory II</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Developments in Language Theory: 15th International Conference, DLT 2011, Milan, Italy, July 19-22, 2011. Proceedings

ISBN

978-3-642-22320-4

ISSN

0302-9743

e-ISSN

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Number of pages

13

Pages from-to

324-336

Publisher name

Springer

Place of publication

Berlin

Event location

Milan, Italy

Event date

Jan 1, 2011

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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