Compatibility Matrix Method

Abstract

The article presents the compatibility matrix method and illustrates it with the application to the $\text{P}$ vs $\text{NP}$ 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: $\text{P}=\text{NP}=\text{PSPACE}\subseteq \text{P/poly}$, etc.