Independence of P vs. NP in regards to oracle relativizations

TL;DR

This paper argues that the methods used to approach the P vs. NP problem are unaffected by oracle relativizations, suggesting that the question's resolution is independent of such relativizations.

Contribution

It demonstrates that the techniques in previous articles are not influenced by oracle relativizations, indicating the P vs. NP problem's independence from these relativizations.

Findings

Methods are unaffected by oracle relativizations

P vs. NP independence from oracle relativizations

Supports the intrinsic difficulty of resolving P vs. NP

Abstract

This is the third article in a series of four articles dealing with the P vs. NP question. The purpose of this work is to demonstrate that the methods used in the first two articles of this series are not affected by oracle relativizations. Furthermore, the solution to the P vs. NP problem is actually independent of oracle relativizations.