Understanding Language Acceptance by DFA | Theory of Computation Explained 🤖

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Acceptance by a DFA Theory of Computation Video lecture for gate exam preparation computer science, Automata Theory, in hindi, lectures, iit, tutorial, what is meant by a DFA (deterministic finite automaton) accepting a string or a language.A string w is accepted by a DFA (Q , , q0 , , A ) , if and only if *( q0 , w ) A . That is a string is accepted by a DFA if and only if the DFA starting at the initial state ends in an accepting state after reading the string.A language L is accepted by a DFA ( Q , , q0 , , A ) , if and only if L = { w | *( q0 , w ) A } . That is, the language accepted by a DFA is the set of strings accepted by the DFA.
machine accepts w if the last input of w causes the machine to halt in one of the accepting states. Otherwise, it is said that the automaton rejects the string. We say the string w is accepted if, proceeding from the start state, the terminal state we reach is final i.e., ∈ F. Concisely, w is accepted if δ*(s,w) ∈ F. Because of the determinism, it is sometimes said that w is decided by a DFA.

The language accepted by a DFA is the set of all strings accepted by a DFA.DFA and Regular Language Equivalence
Theorem: A language is accepted by a DFA if and only if it is a regular language (i.e., has a regular expression).
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