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FORMAL LANGUAGE & AUTOMATA THEORYConvert the CFG to GNF: S \to AB \mid BC \\ A \to aB \mid bA \mid a \\ B \to bB \mid cC \mid b \\ C \to c20227mFormal Language & Automata TheoryDesign a pushdown automaton for the following context-free grammar: S \to aB \mid bA A \to aS \mid bAA \mid a B \to bS \mid aBB \mid b20207mFormal Language & Automata TheoryBegin with the grammar: S \to ASB / \epsilon A \to aAS / a B \to SbS / A / bb (i) Eliminate \epsilon-productions. (ii) Eliminate unit productions in the resulting grammar. (iii) Eliminate any useless symbol in the resulting grammar. (iv) Put the resulting grammar into CNF.202214mFORMAL LANGUAGE & AUTOMATA THEORYConstruct NPDA for the grammar: S \to \alpha ABB \mid \alpha AA \\ A \to \alpha BB \mid \alpha \\ B \to bBB \mid A20237m
PreviousConsider the following language: L = \{a^m b^{2n} c^{3n} d^p \mid p > m \text{ and } m, n \ge 1\} Write a context-free grammar to generate L and write shortest string in L.NextConstruct a push-down automata that accepts the following language: L = \{uawb \mid u \text{ and } w \in \{a, b\}^* \text{ and } |u| = |w|\}