Intelligent systems and polynomial solvability of NP-complete problems

Abstract

Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4], we have given a polynomial algorithm for 3-SAT, one of the first NP-Complete problems. The result is unexpected and has deep consequences for the design of intelligent systems; hence, in this paper, we review our algorithmic approach for 3-SAT, and we give simplified analysis of our approach to demonstrate the polynomial bound of O(n13) operations. We also indicate the immediate and important consequences of our polynomial algorithm for 3-SAT for the design of intelligent systems.