Recently, I've been put on hold for being unclear. And, I believe it is my lack of understanding the conventional standards. (Which I find difficult to follow in most cases)
I have updated the question containing details that I have a legitimate algorithm that is linear and takes any arbitrary Sudoku. Then reduces it into a Max-Sat Sudoku.
Is there anything, that I can do to improve the question as I am lacking the mathematical experience needed to show that my claim is true?