Publication detail

Mealy-type automata created by pairs of concrete real functions.

CHVALINA, J. MOUČKA, J.

Original Title

Mealy-type automata created by pairs of concrete real functions.

English Title

Mealy-type automata created by pairs of concrete real functions.

Type

conference paper

Language

en

Original Abstract

The contribution is a certain continuation of investigations devoted to relationships between automata without outputs created by the use of some elementary functions, and basic concepts of classical algebra and mathematical analysis. By the use of simple elementary functions as the simplest cubic function and a concrete linear function, there are constructed Mealy-type automata (with outputs). In the connection with solutions of functional equations of one variable, there is constructed a homomorphism between obtained automata.

English abstract

The contribution is a certain continuation of investigations devoted to relationships between automata without outputs created by the use of some elementary functions, and basic concepts of classical algebra and mathematical analysis. By the use of simple elementary functions as the simplest cubic function and a concrete linear function, there are constructed Mealy-type automata (with outputs). In the connection with solutions of functional equations of one variable, there is constructed a homomorphism between obtained automata.

Keywords

Qasi-automaton, automaton without output, Mealy-type automaton, mono-unary algebra, functional equation of one variable, homomorphism.

RIV year

2015

Released

21.05.2015

Publisher

UNOB Brno

Location

Brno

ISBN

978-80-7231-923-7

Book

Proc. of the XXXIII. Internat. Colloquium

Pages from

1

Pages to

6

Pages count

6

Documents

BibTex


@inproceedings{BUT119956,
  author="Jan {Chvalina} and Jiří {Moučka}",
  title="Mealy-type automata created by pairs of concrete real functions.",
  annote="The contribution is a certain continuation of investigations devoted to relationships between automata without outputs created by the use of some elementary functions, and basic concepts of classical algebra and mathematical analysis. By the use of simple elementary functions as the simplest cubic function and a concrete linear function, there are constructed Mealy-type automata (with outputs). In the connection with solutions of functional equations of one variable, there is constructed a homomorphism between obtained automata.",
  address="UNOB Brno",
  booktitle="Proc. of the XXXIII. Internat. Colloquium",
  chapter="119956",
  howpublished="electronic, physical medium",
  institution="UNOB Brno",
  year="2015",
  month="may",
  pages="1--6",
  publisher="UNOB Brno",
  type="conference paper"
}