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- W4300693371 abstract "Is it possible to find a shortest description for a binary string? The well-known answer is no, Kolmogorov complexity is not computable. Faced with this barrier, one might instead seek a short list of candidates which includes a laconic description. Remarkably such approximations exist. This paper presents an efficient algorithm which generates a polynomial-size list containing an optimal description for a given input string. Along the way, we employ expander graphs and randomness dispersers to obtain an Explicit Online Matching Theorem for bipartite graphs and a refinement of Muchnik's Conditional Complexity Theorem. Our main result extends recent work by Bauwens, Mahklin, Vereschchagin, and Zimand." @default.
- W4300693371 created "2022-10-04" @default.
- W4300693371 creator A5017252483 @default.
- W4300693371 date "2012-12-25" @default.
- W4300693371 modified "2023-10-18" @default.
- W4300693371 title "Short lists for shortest descriptions in short time" @default.
- W4300693371 doi "https://doi.org/10.48550/arxiv.1212.6104" @default.
- W4300693371 hasPublicationYear "2012" @default.
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