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2004•Acta CyberneticaOpen access

Retractable state-finite automata without outputs

Attila Nagy

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Abstract

A homomorphism of an automaton A without outputs onto a subautomaton B of A is called a retract homomorphism if it leaves the elements of B fixed. An automaton A is called a retractable automaton if, for every subautomaton B of A, there is a retract homomorphism of A onto B. In [1] and [3], special retractable automata are examined. The purpose of this paper is to give a construction for state-finite retractable automata without outputs.

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What this paper is about

A homomorphism of an automaton A without outputs onto a subautomaton B of A is called a retract homomorphism if it leaves the elements of B fixed. An automaton A is called a retractable automaton if, for every subautomaton B of A, there is a retract homomorphism of A onto B. In [1] and [3], special retractable automata are examined. The purpose of this paper is to give a construction for state-finite retractable automata without outputs.

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Available abstract

A homomorphism of an automaton A without outputs onto a subautomaton B of A is called a retract homomorphism if it leaves the elements of B fixed. An automaton A is called a retractable automaton if, for every subautomaton B of A, there is a retract homomorphism of A onto B. In [1] and [3], special retractable automata are examined. The purpose of this paper is to give a construction for state-finite retractable automata without outputs.

Key concepts: Homomorphism, Retract, Automaton, Computer science, Finite-state machine, State (computer science), Discrete mathematics, Mathematics

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