Formal Languages and Automata Theory Give context-free grammars that generate the following languages. In all parts, the alphabet Σ is {0,1} a. {w| w contains at least three 1s} b. {w| w starts and ends with the same symbol} c. {w| the length of w is odd} Ad. {w| the length of w is odd and its middle symbol is a 0} e. {w| w = w R, that is, w is a palindrome} f. The empty set
Formal Languages and Automata Theory Give context-free grammars that generate the following languages. In all parts, the alphabet Σ is {0,1} a. {w| w contains at least three 1s} b. {w| w starts and ends with the same symbol} c. {w| the length of w is odd} Ad. {w| the length of w is odd and its middle symbol is a 0} e. {w| w = w R, that is, w is a palindrome} f. The empty set
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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Formal Languages and Automata Theory
Give context-free grammars that generate the following languages. In all parts, the
alphabet Σ is {0,1}
a.
{w| w contains at least three 1s}
b. {w| w starts and ends with the same symbol}
c. {w| the length of w is odd}
Ad. {w| the length of w is odd and its middle symbol is a 0}
e. {w| w = w
R, that is, w is a palindrome}
f. The empty set

Transcribed Image Text:·Give context-free grammars that generate the following languages. In all parts, the
alphabet E is {0,1}.
Aa. {w| w contains at least three 1s}
b. {w| w starts and ends with the same symbol}
c. {w| the length of w is odd}
Ad. {w| the length of w is odd and its middle symbol is a 0}
e. {w| w = w*, that is, w is a palindrome}
f. The empty set
R
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