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Give a production grammar for the language L = {x/x ∈ (a,b)*, the number of a’s in x is multiple of 3}.

(a) {S->bS, S->b,S->aA, S->bA, A->aB, B->bB, B->aS, S->a}

(b) {S->aS,S->bA,A->bB,B->bBa,B->bB}

(c) {S->aaS,S->bbA,A->bB,B->ba}

(d) None of the mentioned

1 Answer

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Best answer
Right option is (a) {S->bS, S->b,S->aA, S->bA, A->aB, B->bB, B->aS, S->a}

The explanation: The above given condition is satisfied by

S->bS S->B

S->aA s->bA A->aB B->bB

B->aS S->a.

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