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Subjects>Engineering & Technology>Computer Science

Are Turing recognizable languages closed under union?

Updated: 2/7/2025

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Yes, Turing recognizable languages are closed under union.

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Q: Are Turing recognizable languages closed under union?

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Are Turing recognizable languages closed under concatenation?

Yes, Turing recognizable languages are closed under concatenation.

Are Turing recognizable languages closed under intersection?

Yes, Turing recognizable languages are closed under intersection.

What are the closure properties of Turing recognizable languages?

The closure properties of Turing recognizable languages refer to the properties that are preserved when certain operations are applied to these languages. These properties include closure under union, concatenation, and Kleene star. In simpler terms, Turing recognizable languages are closed under operations like combining two languages, joining strings together, and repeating strings.

Are recognizable languages closed under concatenation?

Yes, recognizable languages are closed under concatenation.

Is the class of recognizable languages closed under complementation?

No, the class of recognizable languages is not closed under complementation.

Related questions

Are Turing recognizable languages closed under concatenation?

Yes, Turing recognizable languages are closed under concatenation.

Are Turing recognizable languages closed under intersection?

Yes, Turing recognizable languages are closed under intersection.

What are the closure properties of Turing recognizable languages?

The closure properties of Turing recognizable languages refer to the properties that are preserved when certain operations are applied to these languages. These properties include closure under union, concatenation, and Kleene star. In simpler terms, Turing recognizable languages are closed under operations like combining two languages, joining strings together, and repeating strings.

Are recognizable languages closed under concatenation?

Yes, recognizable languages are closed under concatenation.

Is the class of recognizable languages closed under complementation?

No, the class of recognizable languages is not closed under complementation.

Are decidable languages closed under concatenation?

Yes, decidable languages are closed under concatenation.

Are decidable languages closed under intersection?

Yes, decidable languages are closed under intersection.

Is the class of undecidable languages closed under complementation?

No, the class of undecidable languages is not closed under complementation.

Is the set of nonregular languages closed under intersection?

No, the set of nonregular languages is not closed under intersection.

Are context-free languages closed under concatenation?

Yes, context-free languages are closed under concatenation.

Are decidable languages closed under any operations?

Yes, decidable languages are closed under operations such as union, intersection, concatenation, and complementation. This means that if a language is decidable, performing these operations on it will result in another decidable language.

What are the closure properties of decidable languages?

Decidable languages are closed under union, intersection, concatenation, and Kleene star operations. This means that if two languages are decidable, their union, intersection, concatenation, and Kleene star are also decidable.

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