Conjunctive rules form a monoid isomorphic to the Boolean hypercube under bitwise OR via characteristic vectors, enabling quotient-space genetic algorithms that recover global optima in 48-77% of runs versus 35-37% for standard methods.
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Algebraic Structure Discovery for Real World Combinatorial Optimisation Problems: A General Framework from Abstract Algebra to Quotient Space Learning
Conjunctive rules form a monoid isomorphic to the Boolean hypercube under bitwise OR via characteristic vectors, enabling quotient-space genetic algorithms that recover global optima in 48-77% of runs versus 35-37% for standard methods.