Explain the concept of decidability in automata theory.

Automata Theory Questions



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Explain the concept of decidability in automata theory.

Decidability in automata theory refers to the ability to determine whether a given problem or language can be solved or recognized by a particular type of automaton. It involves determining if there exists an algorithm or a procedure that can always provide a correct answer for any input. If a problem or language is decidable, it means that there exists a Turing machine or any other equivalent automaton that can decide whether a given input belongs to the language or not. In other words, decidability ensures that there is a definite and effective method to solve or recognize a problem or language using automata.