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The Ethereal
On SAT information content, its polynomial-time solvability and fixed code algorithms
January 01, 2024 ยท The Ethereal ยท ๐ 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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