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A regular language over an alphabet ∑ is one that cannot be obtained from the basic languages using the operation ans. Concatenation All of the mentioned Kleene* Union

Question

A regular language over an alphabet ∑ is one that cannot be obtained from the basic languages using the operation ans. Concatenation

All of the mentioned

Kleene*

Union

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Solution

The statement is incorrect. A regular language over an alphabet ∑ is one that can be obtained from the basic languages using the operations of Concatenation, Kleene*, and Union. These operations are fundamental in defining regular languages.

Here's a step-by-step explanation:

  1. Basic Languages: These are the simplest form of languages over an alphabet ∑. They consist of all strings of length 1 over ∑, the empty string, and the empty language.

  2. Concatenation: This operation combines two languages L1 and L2 to form a new language that consists of all strings that can be formed by taking a string from L1 and a string from L2 and concatenating them.

  3. Kleene*: This operation is applied to a language L and results in a new language that consists of all strings that can be formed by concatenating zero or more strings from L.

  4. Union: This operation combines two languages L1 and L2 to form a new language that consists of all strings that are in either L1 or L2.

So, a regular language over an alphabet ∑ is one that can be obtained from the basic languages using these operations.

This problem has been solved

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