Algorithm - ​​ (pronounced AL-go-rith-um) is a step-by-step process, procedure or formula for solving a problem. most often associated with computer logic. 

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 has provided some specific nomenclature that differs from some of those who have attempted to define this problem. Additionally, for those that have interest there is a DOS/Windows App available to provide proof of concept. A white paper may not be able to completely explain the solution. This occurs because describing computerized mathematical 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. 




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Terms and Notes
The white paper is ready to be published. Your interest in this solution and this web site is appreciated. Please download the software to verify the claim of solving P NP.  
William T. Voris
P.O. Box 238
Piqua, Ohio 45356​​