The questions are not graded I need d) e) f) the topic is automata theory Exercise 7.2.1: Use the CFL pumping lemma to show each of these languagesnot to be context-free:**a) {abick \i

To prove that the given languages are not context-free using the CFL (Context-Free Language) pumping…

* d) {0¹1 | j =i²}. ! e) {abc n≤ i ≤ 2n}. ! f) {www w is a string of 0's and 1's}. That is, the set of strings consisting of some string w followed by the same string in reverse, and then the string w again, such as 001100001.

* d) {0¹1 | j =i²}. ! e) {abc n≤ i ≤ 2n}. ! f) {www w is a string of 0's and 1's}. That is, the set of strings consisting of some string w followed by the same string in reverse, and then the string w again, such as 001100001.

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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Question

The questions are not graded I need d) e) f) the topic is automata theory

Exercise 7.2.1: Use the CFL pumping lemma to show each of these languages
not to be context-free:
*
*a) {abick \i<j <k}.
b) {abci i ≤n}.
c) {OP p is a prime}. Hint: Adapt the same ideas used in Example 4.3,
which showed this language not to be regular.
*!d) {0¹1 | j =i²}.
! e) {a"b" c n ≤ i ≤ 2n}.
! f) {www w is a string of 0's and 1's). That is, the set of strings consisting
of some string w followed by the same string in reverse, and then the string
w again, such as 001100001.

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