A regular language over an alphabet ∑ is one that cannot be obtained from the basic languages using the operationans.Kleene*All of the mentionedUnionConcatenation
Question
A regular language over an alphabet ∑ is one that cannot be obtained from the basic languages using the operationans.Kleene*All of the mentionedUnionConcatenation
Solution
The statement provided is incorrect. A regular language over an alphabet ∑ is one that can be obtained from the basic languages using the operations: Kleene*, Union, and Concatenation.
Here's a step-by-step explanation:
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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.
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Union: If L1 and L2 are regular languages, then their union (L1 U L2) is also a regular language. This operation combines all strings from both L1 and L2.
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Concatenation: If L1 and L2 are regular languages, then their concatenation (L1.L2) is also a regular language. This operation appends every string in L2 to the end of every string in L1.
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Kleene Star: If L is a regular language, then its Kleene closure (L*) is also a regular language. This operation includes all possible strings that can be made by concatenating zero or more strings from L.
So, a regular language is one that can be obtained from the basic languages using these operations.
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