Problem 4 Let L be the language accepted by the pushdown automaton: M = (Q, E,r', 6, q, F) where: Q = {q, p}; E = {a, b, c, g}; I = {A, D, E, L, P, R}; F = {q} and ổ is defined by the following transition set: [p, a, A, q, X] [q, 9, A, p, APPLE] [P, 9, D, p, X] [p, c, E,p, X] [p, b, L, p, A] [p, 9, P, p, A] [p, b, R, q, AJ [q, a, A, p, RED] (Recall that M is defined so as to accept by final state and empty stack. Furthermore, if an arbitrary stack string, say X1 ... X, € r* where n > 2, is pushed on the stack by an individual transition, then the left- most symbol X1 is pushed first, while the rightmost symbol X, is pushed last.) (a) Write a regular expression that represents L. If such a regular expression does not exist, prove it. (b) Draw a state-transition graph of a finite-state automaton that accepts L. If such an automaton does not exist, prove it.

Problem 4 Let L be the language accepted by the pushdown automaton: M = (Q, E,r', 6, q, F) where: Q = {q, p}; E = {a, b, c, g}; I = {A, D, E, L, P, R}; F = {q} and ổ is defined by the following transition set: [p, a, A, q, X] [q, 9, A, p, APPLE] [P, 9, D, p, X] [p, c, E,p, X] [p, b, L, p, A] [p, 9, P, p, A] [p, b, R, q, AJ [q, a, A, p, RED] (Recall that M is defined so as to accept by final state and empty stack. Furthermore, if an arbitrary stack string, say X1 ... X, € r* where n > 2, is pushed on the stack by an individual transition, then the left- most symbol X1 is pushed first, while the rightmost symbol X, is pushed last.) (a) Write a regular expression that represents L. If such a regular expression does not exist, prove it. (b) Draw a state-transition graph of a finite-state automaton that accepts L. If such an automaton does not exist, prove it.

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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