Algorithm - ​​ (pronounced AL-go-rith-um) is a procedure or formula for solving a problem. The word derives from the name of the mathematician, Mohammed ibn-Musa al-Khwarizmi, who was part of the royal court in Baghdad and who lived from about 780 to 850.

P - Finding one solution to a problem, often the first in a sequence of solutions.

NP - Finding all solutions to a problem.

NP Complete - Searching all​​​​​​ potential areas where a solution may occur.

Polynomial Time - An algorithm or a solution to a problem that uses logic that is linear in design.

Exponential Time - ​​​​An algorithm or a solution that applies exponential logic.

Please note that the provided links for the Overview and also the Background do not necessarily coincide with those of the author who developed this solution. Moreover, to understand this proposed solution to P NP, the author (a computer scientist) has provided some specific nomenclature that differs from some of those who have attempted to define this problem. Additionally, for those that have interest in more than simply reading the white paper there is a DOS/Windows App that has been developed to provide proof of concept. This white paper (or for that matter any white paper) may not be able to completely explain the solution. This occurs based on the fact that describing complex mathematical and computer processes and logic is almost impossible with words alone. The real proof therefore can only occur with those that take an interest in the software, for therein lies the real solution. A copy of this software is available, click this link for details. The software is designed as an IBM mainframe application and programmed as Windows DOS app. 

Addendum: Other published material attached to the author's name, i.e. a book entitled The Elusive Paradox​​ is no longer in print. This self-published book was written as an experiment to determine if there was a market for the author's writing, as well as to go through the process of book publishing. The experiment was successful, but this book is not intended to be read.
Therefore is not recommended by the author. An attempt was made to revise and extract some of the more interesting aspects of the book in another book entitled The Crystal Wrists. This book is more focused and better written, but just as The Elusive Paradox, there appears to be no market for it. 



Terms and Notes
The white paper is nearing the final draft for submission this spring. It is anticipated to be published by late fall of this year. The white paper may still under go minor alterations and/or corrections. Your interest in this solution and this web site is appreciated, likewise your patience. In the interim, please download the software to verify the claim of solving P NP.