Mealy-type automata created by pairs of concrete real functions.
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Proceedings |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/ |
| Field | General mathematics |
| Keywords | Qasi-automaton, automaton without output, Mealy-type automaton, mono-unary algebra, functional equation of one variable, homomorphism. |
| Description | The contribution is a certain continuation of investigations devoted to relationships between automata without outputs created by the use of some elementary functions, and basic concepts of classical algebra and mathematical analysis. By the use of simple elementary functions as the simplest cubic function and a concrete linear function, there are constructed Mealy-type automata (with outputs). In the connection with solutions of functional equations of one variable, there is constructed a homomorphism between obtained automata. |