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Define unrecognisable and undecidable languages.

Question

Define unrecognisable and undecidable languages.

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Solution

Unrecognisable Languages: In the context of theoretical computer science and formal language theory, an unrecognisable language is a language for which no Turing machine exists that accepts exactly that language. In other words, there is no algorithm that can determine, given a string, whether that string is in the language or not.

Undecidable Languages: An undecidable language, on the other hand, is a language for which there is no algorithm that can decide whether a given string is in the language or not in a finite amount of time. This means that there might be a Turing machine that accepts the language, but it might run forever on some inputs.

In summary, an unrecognisable language is one for which no Turing machine exists that accepts exactly that language, while an undecidable language is one for which no algorithm can decide membership in a finite amount of time.

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Similar Questions

When can we say that the language is decidable or undecidable?

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