COLLAPSING WORDS: A PROGRESS REPORT

Author:

ANANICHEV D. S.1,PETROV I. V.1,VOLKOV M. V.1

Affiliation:

1. Department of Mathematics and Mechanics, Ural State University, 620083 Ekaterinburg, Russia

Abstract

A word w over a finite alphabet Σ is n-collapsing if for an arbitrary DFA [Formula: see text], the inequality |δ(Q, w)| ≤ |Q| - n holds provided that |δ(Q, u)| ≤ |Q| - n for some word u ∈ Σ+(depending on [Formula: see text]). We overview some recent results related to this notion. One of these results implies that the property of being n-collapsing is algorithmically recognizable for any given positive integer n.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

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3. Synchronization of finite automata;Russian Mathematical Surveys;2022

4. An algorithm for recognition of n-collapsing words;Theoretical Computer Science;2008-02

5. Synchronizing and Collapsing Words;Milan Journal of Mathematics;2007-09-27

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