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FORMAL LANGUAGE & AUTOMATA THEORYProve that if L is accepted by a PDA, then L can be generated by a CFG.20227mFORMAL LANGUAGE & AUTOMATA THEORYDesign a PDA (empty stack and final state both) for L = \{ WW^r \mid W \in \{a,b\}^* \}.20237mFormal Language & Automata TheoryConstruct a PDA that accepts the language L = \{a^{2n}bc \mid n \ge 0\} by final state and empty stack.20217mFormal Language & Automata TheoryA pushdown automata can be represented as \text{PDA} = \epsilon\text{-NFA} + [\text{stack}]. (i) True (ii) False20202m