On SAT information content, its polynomial-time solvability and fixed code algorithms
Computational Complexity
2024-07-26 v3 Information Theory
math.IT
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.
Cite
@article{arxiv.2401.00947,
title = {On SAT information content, its polynomial-time solvability and fixed code algorithms},
author = {Maciej Drozdowski},
journal= {arXiv preprint arXiv:2401.00947},
year = {2024}
}
Comments
16 pages, 1 table, 0 figures, new content, rewriting arguments, corrected typos