(10) There are uncountably many non-regular languages over > = {a, b}. True False

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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For each of the following statements, state whether it is True or False. 

### Question

**(10)** There are uncountably many non-regular languages over \(\Sigma = \{a, b\}\).

- ○ True
- ○ False

This question is asking about the nature of languages (considered as sets of strings) over the alphabet \(\Sigma = \{a, b\}\). It inquires whether the set of non-regular languages is uncountably large, meaning it cannot be matched one-to-one with the integers, suggesting its size is comparable to the real numbers rather than the integers. This is in contrast to regular languages, which are countable and can be described using a finite number of rules or states.
Transcribed Image Text:### Question **(10)** There are uncountably many non-regular languages over \(\Sigma = \{a, b\}\). - ○ True - ○ False This question is asking about the nature of languages (considered as sets of strings) over the alphabet \(\Sigma = \{a, b\}\). It inquires whether the set of non-regular languages is uncountably large, meaning it cannot be matched one-to-one with the integers, suggesting its size is comparable to the real numbers rather than the integers. This is in contrast to regular languages, which are countable and can be described using a finite number of rules or states.
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