Magnetic Core, Smart Random Sampling, and Peripheral Partitioning in SAT Problems

SAT (Boolean satisfiability) problems are canonical <b>NP-complete problems</b>. Solving them requires exploring a combinatorial space of assignments. Despite decades of research, no deterministic polynomial-time algorithm exists for general NP problems, leaving the <b>P vs NP question unresolved</b>.Here, we introduce a <b>Magnetic Core</b> approach combined with <b>Smart Random Sampling (SRS)</b> and <b>Peripheral Partitioning</b>, which maximally reduces the search space and focuses on the most critical variables (core) first.