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arxiv: 1704.02942 · v3 · pith:6S4CN4YPnew · submitted 2017-04-10 · 🧮 math-ph · cs.CC· math.MP

The Boolean SATisfiability Problem in Clifford algebra

classification 🧮 math-ph cs.CCmath.MP
keywords booleanproblemsatisfiabilityunsatisfiabilityalgebraalgorithmallowsclifford
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We present a formulation of the Boolean Satisfiability Problem in spinor language that allows to give a necessary and sufficient condition for unsatisfiability. With this result we outline an algorithm to test for unsatisfiability with possibly interesting theoretical properties.

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  1. A Satisfiability algorithm based on Simple Spinors of the Clifford algebra of $\mathbb{R}^{n,n}$

    math-ph 2024-12 unverdicted novelty 4.0

    Refines SAT formulation in Clifford algebra Cl(R^{n,n}) and outlines a polynomial-time unsatisfiability test using simple spinors.