An extension of the Krohn-Rhodes decomposition of automata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The notion of an irreducible semigroup has been fundamental to the Krohn-Rhodes decomposition. In this paper we study a similar concept and point out its equivalence with the Krohn-Rhodes irreducibility. We then use the new aspect of irreducible semigroups to provide cascade decompositions of automata in a situation when a strict letter-to-letter replacement is essential. The results are stated in terms of completeness theorems. Our terminology follows [10], so that the cascade composition is referred to as the α0-product.

Original languageEnglish
Title of host publicationMachines, Languages, and Complexity - 5th International Meeting of Young Computer Scientists, Selected Contributions
EditorsJozef Kelemen, Jurgen Dassow
PublisherSpringer Verlag
Pages65-71
Number of pages7
ISBN (Print)9783540515166
DOIs
Publication statusPublished - Jan 1 1989
Event5th International Meeting of Young Computer Scientists, 1988 - Smolenice, Serbia
Duration: Nov 14 1988Nov 18 1988

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume381 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Meeting of Young Computer Scientists, 1988
CountrySerbia
CitySmolenice
Period11/14/8811/18/88

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Esik, Z. (1989). An extension of the Krohn-Rhodes decomposition of automata. In J. Kelemen, & J. Dassow (Eds.), Machines, Languages, and Complexity - 5th International Meeting of Young Computer Scientists, Selected Contributions (pp. 65-71). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 381 LNCS). Springer Verlag. https://doi.org/10.1007/BFb0015928