TL;DR
This paper introduces a polynomial time algorithm for SAT using the compatibility matrix method, claiming to resolve the P vs NP problem by proving P = NP = PSPACE through a geometric-inspired approach.
Contribution
It presents a novel polynomial time algorithm for SAT and claims to prove P = NP, which challenges established computational complexity theory.
Findings
Proposes the compatibility matrix method for SAT.
Claims to prove P = NP = PSPACE.
Demonstrates the method with problem drafting and visualization.
Abstract
Article presents the compatibility matrix method and illustrates it with the application to P vs NP problem. The method is a generalization of descriptive geometry: in the method, we draft problems and solve them utilizing the image creation technique. The method reveals: P = NP = PSPACE
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