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FORMAL LANGUAGE & AUTOMATA THEORYEliminate \varepsilon, unit, and useless productions from the grammar: A → bA | Bba | aa B → aba | b | D C → CA | AC | B D → a | \varepsilon20237mFORMAL LANGUAGE & AUTOMATA THEORYDefine Chomsky Normal Form. Convert the CFG: S → aSb | ab | Aa A → aab to CNF.20237mFORMAL LANGUAGE & AUTOMATA THEORYGiven the following context-sensitive grammar: S \rightarrow aSBC | abc CB \rightarrow BC aB \rightarrow ab bB \rightarrow bb bC \rightarrow bc cC \rightarrow cc Identify the language generated by the grammar. Derive the string aabbcc step by step.20257mFORMAL 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
PreviousDefine recursively enumerable languages. Let L_1 be recursive and L_2 recursively enumerable. Show that L_2 - L_1 is necessarily recursively enumerable.NextDesign a pushdown automata to accept the following language by empty stack: \{ 0^n 1^n / n \ge 1 \}.
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