In this paper, we discuss the $\mathcal{NP}$ problem using the Henkin's Theory and the Herbrand Theory in the first-order logic, and prove that $\mathcal{P}$ is a proper subset of $\mathcal{NP}$.
翻译:在本文中,我们用汉金理论和Herbrand理论的逻辑逻辑来讨论$mathcal{NP}$问题, 并证明$\mathcal{P}$是$\mathcal{NP}$的适当子集。