Four different polynomial 3-SAT algorithms named A, B, C and D are provided:
v1: "Algorithm A": Obsolete, please ignore (paper has been left here for referring Internet links).
v2: "Algorithm B": Published in December 2013. Never failed for millions of test runs. Proof of correctness needs to be improved. Mr. M. Prunescu's paper 'About a surprizing computer program of Matthias Mueller' is about this Algorithm B.
v3: "Algorithm C": Obsolete, please ignore.
v4: "Algorithm D-1.0": Newest and best algorithm. Never failed in tests. Related paper v4 contains a detailed description of this polynomial 3-SAT solving algorithm, an extensive proof of correctness and a link where you can download my compiled demo C++ implementation (with source code) for Windows and Linux, an alternative polynomial solver version, and an additional tool program.
v5: "Algorithm D-1.1": Very same algorithm as v4, but better explained and with a re-written, completely new part of the proof of correctness.
v6: "Algorithm D-1.1": Some helpful improvements (compared to v5).
v7: "Algorithm D-1.2": Paper from May 22nd, 2016.
v8: "Algorithm D-1.3": Parts of the proof of correctness have been replaced by a completely re-written, more detailed variant.
v9: "Algorithm D-1.3": Another part of the proof of correctness has been made more detailed. Please read this version.
v10: "Algorithm DM-1.0": Completely re-written document. Still describes algorithm D, but as short as possible and in mathematical notation. Might be easier to understand for some readers, while others prefer v9 (D-1.3).
You can also visit www.louis-coder.com/Polynomial_3-SAT_Solver/Polynomial_3-SAT_Solver.htm for latest updates and news, and the zip file containing the Windows/Linux demo implementation.
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