A topology for automata II-Reference-Cited by-同舟云学术

A topology for automata II

Published:1986 Issue:3 Volume:9 Page:425-428
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Srivastava Arun K.¹,Shukla Wagish²

Affiliation:

1. Department of Mathematics, Banaras Hindu University, Varansi, India

2. Department of Mathematics, Indian Institute of Technology, New Delhi, India

Abstract

A topology on the state set of an automaton is considered and it is shown that under this topology, genetically closed subsets and primaries, in the sense of Bavel [1] turn out to be precisely the regular closed subsets and minimal regular closed subsets respectively. The concept of a compact automaton is introduced and it is indicated that it can be viewed as a generalization of a finite automaton. Included also is an observation showing that our topological considerations can help recover some of the results of Dörfler [2].

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1986/640315.pdf

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