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A 2-PDA is a PDA with two stacks. (a) Draw the state diagram of a 2-PDA for {a^i b^k a^i b^k | i, k greaterthanorequalto

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A 2-PDA is a PDA with two stacks. (a) Draw the state diagram of a 2-PDA for {a^i b^k a^i b^k | i, k greaterthanorequalto 0}. Use the following notation: a, b rightarrow c, d rightarrow e (where a elementof Sigma_epsilon; b, c, d, e elementof Gamma_epsilon) means that we read input symbol a, pop b off stack 1, push c on stack 1, pop d off stack 2, push e on stack 2. (b) Draw the state diagram of a 2-PDA for {a^i b^k a^i b^k a^i b^k | i, k greaterthanorequalto 0}. (c) The class of languages that can be recognized by a 2-PDA is exactly (pick one and provide brief justification for your answer): The CFLs The Decidable languages The Regular languages The Turing-recognizable languages

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