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Given:(a) L= {xϵ∑= {0,1} |x=0n1n for n>=1}; Can there be a DFA possible for the language?(b) Yes(c) NoI got this question in an online quiz.My enquiry is from DFA Processing Strings topic in division Finite Automata of Automata Theory

Answer»

Right OPTION is (b) Yes

To explain: It is not possible to have a count of equal number of 0 and 1 at any instant in DFA. Thus, It is not possible to build a DFA for the GIVEN LANGUAGE.



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