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The set of incompressible strings is undecidable because it involves determining whether a given string cannot be represented more concisely than its original form. This problem relates to the concept of Kolmogorov complexity, which is the length of the shortest program that produces a specific output. Since there is no algorithm that can compute the exact Kolmogorov complexity for arbitrary strings, it follows that we cannot effectively decide whether a string is incompressible. Thus, the set of incompressible strings is undecidable, as it would require solving an inherently non-computable problem.

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Is it true that if a language is undecidable, then it must be infinite?

Yes, it is true that if a language is undecidable, then it must be infinite.


Is the class of undecidable languages closed under complementation?

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


Is the halting problem undecidable?

Yes, the halting problem is undecidable, meaning that there is no algorithm that can determine whether a given program will halt or run indefinitely.


Undecidable Problem that is recursive enumerable?

if it halts


What is meant by an undecidable context-free-language problem?

The following are undecidable cfl problems: If A is a cfl - Does A = Sigma star? If A & B cfls - is A a contained within B?


Is it true that all context-free grammars are undecidable?

Yes, it is true that determining whether a given context-free grammar generates a specific language is undecidable.


Is the problem of determining whether a given context-free grammar (CFG) is undecidable?

Yes, the problem of determining whether a given context-free grammar (CFG) is undecidable.


Which technique can be applied to discover new undecidable problem?

Using computers as an example, just whack it a few times until lights flash. You might discover a new 'undecidable' problem.


What configuration can a piano have other that upright?

There are two main types of piano - upright, in which the strings are set vertically, and grand, in which the strings are set horizontally.


What are some examples of undecidable languages and how are they different from decidable languages?

Undecidable languages are languages for which there is no algorithm that can determine whether a given input string is in the language or not. Examples of undecidable languages include the Halting Problem and the Post Correspondence Problem. Decidable languages, on the other hand, are languages for which there exists an algorithm that can determine whether a given input string is in the language or not. Examples of decidable languages include regular languages and context-free languages. The key difference between undecidable and decidable languages is that decidable languages have algorithms that can always provide a definite answer, while undecidable languages do not have such algorithms.


What is an example of an undecidable language?

An example of an undecidable language is the Halting Problem, which involves determining whether a given program will eventually halt or run forever. This problem cannot be solved by any algorithm.