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

SAT (Boolean satisfiability) problems are canonical NP-complete problems. 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 P vs NP question unresolved.Here, we introduce a Magnetic Core approach combined with Smart Random Sampling (SRS) and Peripheral Partitioning, which maximally reduces the search space and focuses on the most critical variables (core) first.