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Zyablitceva, L.V., Korabelshchikova, S.Yu. and Abramyan, M.E. (2023) Semilattice Graphs, Matrix Representations of Idempotent Semigroups and Waterloo Automaton Semilattices. International Journal of Open Information Technologies, 11, 69-76. (In Russian)

has been cited by the following article:

• TITLE: Combined Algorithm for Searching Waterloo-Like Automata and First Results of Its Application

  AUTHORS: Mikhail Abramyan, Boris Melnikov

  KEYWORDS: Nondeterministic Finite Automata, Vertex Minimization Algorithms for NFA, Universal Automaton, Covering Automaton, Complete Automaton, The Waterloo Automaton

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 29, 2025

  ABSTRACT: The paper continues the research on algorithms for generating nondeterministic finite automata possessing the following property (the so-called walibad property): among their covering automata, there exist automata that are not equivalent to the original automaton. The Waterloo automaton has this property; it plays an important role in vertex minimization algorithms. In this paper, we describe a combined algorithm for generating automata with the walibad property and present the first results of its numerical study.