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How can one demonstrate that a set is infinite?
One can demonstrate that a set is infinite by showing that it can be put into a one-to-one correspondence with a proper subset of itself. This means that the set can be matched with a part of itself without running out of elements, indicating that it has an infinite number of elements.
How can you prove that the set of all languages that are not recursively enumerable is not countable?
One way to prove that the set of all languages that are not recursively enumerable is not countable is by using a diagonalization argument. This involves assuming that the set is countable and then constructing a language that is not in the set, leading to a contradiction. This contradiction shows that the set of all languages that are not recursively enumerable is uncountable.
Can a regular language be infinite?
Yes, a regular language can be infinite.
On the infinite number line of CodeSignal, where does the keyword "infinite" fall in relation to the other numbers?
The keyword "infinite" does not have a specific numerical value on the infinite number line of CodeSignal. It represents a concept of endlessness and is not a specific point on the number line.
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.
