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Products and Covering of Lattice-valued Finite Automata

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DOI: 10.25236/icemit.2018.312

Author(s)

Lou Quanfu, Hu Zhonggang

Corresponding Author

Lou Quanfu

Abstract

In this paper, the new concept of covering for lattice-valued finite automata was given. The product relations between various lattice-valued finite automata, the covering relations between various products of two lattice-valued finite automata, and covering relations between products of two lattice-valued finite automata and products of the other two lattice-valued finite automata which cover them are studied.

Keywords

Lattice-Valued Finite Automata, Homomorphism, Full Direct Product, Restricted Product, Cascade Product, Wreath Product, Coverings.