Suppose L = {wlw does not contain the substring 11 is a language over the alphabet {0, 1}. Prove that I is regular k iving a regular expression for it. xamples: EEL, 0000 € L, 1110111 € L, - 110101 L, 010101 € L,

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
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Suppose \( L = \{w | w \) does not contain the substring 11\} is a language over the alphabet \(\{0, 1\}\). Prove that \( L \) is regular by giving a regular expression for it.

**Examples:**

- \( \varepsilon \in L \)
- 0000 \( \in L \)
- 1110111 \( \notin L \)
- 110101 \( \notin L \)
- 010101 \( \in L \)
Transcribed Image Text:Suppose \( L = \{w | w \) does not contain the substring 11\} is a language over the alphabet \(\{0, 1\}\). Prove that \( L \) is regular by giving a regular expression for it. **Examples:** - \( \varepsilon \in L \) - 0000 \( \in L \) - 1110111 \( \notin L \) - 110101 \( \notin L \) - 010101 \( \in L \)
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