On SAT information content, its polynomial-time solvability and fixed code algorithms

January 01, 2024 ยท The Ethereal ยท ๐Ÿ› arXiv.org

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Authors Maciej Drozdowski arXiv ID 2401.00947 Category cs.CC: Computational Complexity Cross-listed cs.IT Citations 0 Venue arXiv.org Last Checked 3 months ago
Abstract
The amount of information in satisfiability problem (SAT) is considered. SAT can be polynomial-time solvable when the solving algorithm holds an exponential amount of information. It is also established that SAT Kolmogorov complexity is constant. It is argued that the amount of information in SAT grows at least exponentially with the size of the input instance. The amount of information in SAT is compared with the amount of information in the fixed code algorithms and generated over runtime.
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