The pushdown automaton P=<Q,Σ,Γ,δ,q0,Z0,F> is given, where:Q = {q0,q1,q2,qF}Σ = {0,1,s}Γ = {N,E}q0 = q0Z0 = Z0F = {qF}δ:(q0,0,Z0) -> (q1,NZ0)(q0,1,Z0) -> (q1,EZ0)(q1,0,N) -> (q1,NN)(q1,1,N) -> (q1,EN)(q1,0,E) -> (q1,NE)(q1,1,E) -> (q1,EE)(q1,s,N) -> (q2,N)(q1,s,E) -> (q2,E)(q2,0,N) -> (q2,ε)(q2,1,E) -> (q2,ε)(q2,ε,Z0) -> (qF,ε)Which of the listed languages are accepted by the given PDA P?L(P) = {ww; wϵ(0+1)*}L(P) = {wwwR; wϵ(0+1)*}L(P) = {wswR; wϵ(0+1)*}L(P) = {wwR; wϵ(0+1)*}Can you explain which one and why ?

Answered: The pushdown automaton P= is given,…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The pushdown automaton P=<Q,Σ,Γ,δ,q₀,Z₀,F> is given, where:
Q = {q₀,q₁,q₂,q_F}
Σ = {0,1,s}
Γ = {N,E}
q₀= q₀
Z₀= Z₀
F = {q_F}
δ:
(q₀,0,Z₀) -> (q₁,NZ₀)
(q₀,1,Z₀) -> (q₁,EZ₀)
(q₁,0,N) -> (q₁,NN)
(q₁,1,N) -> (q₁,EN)
(q₁,0,E) -> (q₁,NE)
(q₁,1,E) -> (q₁,EE)
(q₁,s,N) -> (q₂,N)
(q₁,s,E) -> (q₂,E)
(q₂,0,N) -> (q₂,ε)
(q₂,1,E) -> (q₂,ε)
(q₂,ε,Z₀) -> (q_F,ε)

Which of the listed languages are accepted by the given PDA P?

L(P) = {ww; wϵ(0+1)*}

L(P) = {www^R; wϵ(0+1)*}

L(P) = {wsw^R; wϵ(0+1)*}

L(P) = {ww^R; wϵ(0+1)*}

Can you explain which one and why ?

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