The statement seems to be incomplete. However, I can provide a general definition of a regular language.

A regular language over an alphabet ∑ is a type of formal language. It can be expressed using a regular expression, or equivalently, a deterministic or non-deterministic finite automaton.

The basic languages are the set of all strings over ∑ that contain a single symbol from ∑, and the language that contains the empty string.

The operations used to obtain regular languages from these basic languages are:

1. Union: If L1 and L2 are regular languages, then L1 ∪ L2 is also a regular language.
2. Concatenation: If L1 and L2 are regular languages, then L1.L2 is also a regular language.
3. Kleene Star: If L is a regular language, then L* (set of all strings that can be made by concatenating zero or more strings in L) is also a regular language.

So, a regular language over an alphabet ∑ is one that can be obtained from the basic languages using the operations of union, concatenation, and Kleene star.

Question

The statement seems to be incomplete. However, I can provide a general definition of a regular language.

A regular language over an alphabet ∑ is a type of formal language. It can be expressed using a regular expression, or equivalently, a deterministic or non-deterministic finite automaton.

The basic languages are the set of all strings over ∑ that contain a single symbol from ∑, and the language that contains the empty string.

The operations used to obtain regular languages from these basic languages are:

1. Union: If L1 and L2 are regular languages, then L1 ∪ L2 is also a regular language.
2. Concatenation: If L1 and L2 are regular languages, then L1.L2 is also a regular language.
3. Kleene Star: If L is a regular language, then L* (set of all strings that can be made by concatenating zero or more strings in L) is also a regular language.

So, a regular language over an alphabet ∑ is one that can be obtained from the basic languages using the operations of union, concatenation, and Kleene star.

Knowee AI · Accepted Answer

The statement seems to be incomplete. However, I can provide a general definition of a regular language.

A regular language over an alphabet ∑ is a type of formal language. It can be expressed using a regular expression, or equivalently, a deterministic or non-deterministic finite automaton.

The basic languages are the set of all strings over ∑ that contain a single symbol from ∑, and the language that contains the empty string.

The operations used to obtain regular languages from these basic languages are:

1. Union: If L1 and L2 are regular languages, then L1 ∪ L2 is also a regular language.
2. Concatenation: If L1 and L2 are regular languages, then L1.L2 is also a regular language.
3. Kleene Star: If L is a regular language, then L* (set of all strings that can be made by concatenating zero or more strings in L) is also a regular language.

So, a regular language over an alphabet ∑ is one that can be obtained from the basic languages using the operations of union, concatenation, and Kleene star.

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

Question

A regular language over an alphabet $\Sigma$ is one that cannot be obtained from the basic languages using the operation

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