Power Term Polynomial Algebra for Boolean Logic
Researchers have introduced a new representation language called power term polynomial algebra, designed to bridge the gap between conjunctive normal form (CNF) and algebraic normal form (ANF) for Boolean logic. This framework aims to avoid the exponential blowup often encountered during direct conversion between CNF and ANF by encoding structured monomials and CNF clauses within the representation itself. The proposed system includes algebraic operations for Boolean polynomial addition and multiplication, along with rewrite rules that allow for direct manipulation of formulas without full expansion into ANF, suggesting new avenues for structure-aware conversion and hybrid reasoning methods. AI