State Machines and Hypergroups

Gerasimos G. Massouros and Christos G. Massouros
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Gerasimos G. Massouros: School of Social Sciences, Hellenic Open University, Aristotelous 18, GR 26335 Patra, Greece
Christos G. Massouros: Core Department, National and Kapodistrian University of Athens, Euripus Campus, GR 34400 Euboia, Greece

Mathematics, 2022, vol. 10, issue 14, 1-25

Abstract: State machines are a type of mathematical modeling tool that is commonly used to investigate how a system interacts with its surroundings. The system is thought to be made up of discrete states that change in response to external inputs. The state machines whose environment is a two-element magma are investigated in this study, focusing on the case when the magma is a group or a hypergroup. It is shown that state machines in any two-element magma can only have up to three states. In particular, the quasi-automata and quasi-multiautomata state machines are described and enumerated.

Keywords: hypergroup; magma; state machines; automata (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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