We prove that, unlike all known problems of this kind, its complexity is not expressible in terms of the Kolmogorov complexity of a, b, c and d, their pairs, ...
Other logical operations ( , , ) can be interpreted in a similar way, extending Kolmogorov interpretation of intuitionistic logic and Kleene realizability. This ...
Other logical operations ( ∧,∨,↔ ) can be interpreted in a similar way, extending Kolmogorov interpretation of intuitionistic logic and Kleene realizability.
Abstract: We investigate Kolmogorov complexity of the problem (a \rightarrow c) \wedge (b \rightarrow d), defined as the minimum length of a program that ...
Logical Operations and Kolmogorov Complexity II - IEEE Computer Society
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Abstract: We investigate Kolmogorov complexity of the problem (a \rightarrow c) \wedge (b \rightarrow d), defined as the minimum length of a program that ...
... The classical notion of Kolmogorov complexity [9] is an objective measure for the information in a single object, and information distance measures the ...
In this paper, it is shown that the complexity of a set obtained by a formula Φ is small (bounded by a constant) ifΦ is deducible in the logic of weak ...
We investigate Kolmogorov omplexity of the prob- lem (a ! ) ^(b ! d), de ned as the minimum length of a program that given a outputs and given b out-.
Kolmogorov complexity K(x) of a binary string x is defined as mini- mal length of a program that generates this string. This definition can be.
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TL;DR: There are two strings, whose mutual information is large but which have no common information in a strong sense, thus solving the problem posed by ...