
A notion of language compressibility is defined and it is proved that in a sufficiently sparse and ``easy''-computable language essentially all strings can be compressed efficiently. Similar results hold for a type of optimal compression (ranking). Examples of languages that cannot be compressed/ranked efficiently are also presented, as well as some relations with Kolmogorov complexity and randomness.
Complexity of computation (including implicit computational complexity), Theory of data, Formal languages and automata, data compression, Algorithmic information theory (Kolmogorov complexity, etc.)
Complexity of computation (including implicit computational complexity), Theory of data, Formal languages and automata, data compression, Algorithmic information theory (Kolmogorov complexity, etc.)
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