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arXiv · 2103.03623

The Clifford algebra of $R^{n,n}$ and the Boolean Satisfiability Problem

Marco Budinich
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Abstract

We formulate a Boolean algebra in the set of idempotents of Clifford algebra Cl($R^{n,n}$) and within this frame we examine different formulations of the Boolean Satisfiability Problem in Clifford algebra. Exploiting the isomorphism between null subspaces of $R^{n,n}$ associated to simple spinors and the orthogonal group O(n) we ultimately give a continuous formulation of the Boolean Satisfiability Problem within this group that opens unexplored perspectives.

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Marco Budinich. 2021-03-05. The Clifford algebra of $R^{n,n}$ and the Boolean Satisfiability Problem. https://arxiv.org/abs/2103.03623

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