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NOVÁK, M. KŘEHLÍK, Š. STANĚK, D.
Original Title
n-ary Cartesian composition of automata
Type
journal article in Web of Science
Language
English
Original Abstract
In our paper, we construct Cartesian composition of automata in a way rather different from the classical approach. In our case, the resulting structure is not an automaton but a quasi-multiautomaton, i.e., a structure whose input alphabet is a semi-hypergroup instead of a set or a free monoid. In our reasoning, we make use of earlier results on complete (semi)hypergroups and show that this approach not only simplifies our construction but also yields some natural applications.
Keywords
Cartesian composition of automata; Complete hypergroup; EL-semihypergroup; Hypergroup; Theory of automata
Authors
NOVÁK, M.; KŘEHLÍK, Š.; STANĚK, D.
Released
24. 1. 2020
Publisher
SPRINGER
Location
NEW YORK
ISBN
1432-7643
Periodical
SOFT COMPUTING
Year of study
24
Number
3
State
United States of America
Pages from
1837
Pages to
1849
Pages count
13
URL
https://link.springer.com/article/10.1007/s00500-019-04015-1
BibTex
@article{BUT162757, author="Michal {Novák} and Štěpán {Křehlík} and David {Staněk}", title="n-ary Cartesian composition of automata", journal="SOFT COMPUTING", year="2020", volume="24", number="3", pages="1837--1849", doi="10.1007/s00500-019-04015-1", issn="1432-7643", url="https://link.springer.com/article/10.1007/s00500-019-04015-1" }