In the push down automata, transitional function δ is in the form _____.

2023

In the push down automata, transitional function δ is in the form _____.

  1. A.

    Q × Σ × Γ → Q

  2. B.

    Q × Σ → Q

  3. C.

    Q × (Σ ∪ {λ}) × Γ → (Q, Γ*)

  4. D.

    Q × Σ → (Q, Γ)

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Correct answer: C

In a pushdown automaton, the transition considers the current state, an input symbol or lambda, and the stack-top symbol. It then moves to a state and replaces the stack-top by a stack string. Hence the intended form is Q x (Sigma union {lambda}) x Gamma -> (Q, Gamma*).

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