General Mathematics


Corrected Weak Duality Theorem by Way of Refutation of the Strong Duality Theorem

Authors: Colin James III

The equation of the weak duality theorem, (Ax≤b, x≥0) ≤ (A^Ty≥c, y≥0), is confirmed as tautologous. Three proofs of it in the literature are not tautologous. The equation of the strong duality theorem, (Ax≤b, x≥0) = (A^Ty≥c, y≥0), is refuted as not tautologous. These form a non tautologous fragment of the universal logic VŁ4. What follows is the weak duality theorem could just as easily exclude the “or equal to” relation to read (Ax≤b, x≥0) < (A^Ty≥c, y≥0) as the corrected weak duality theorem.

Comments: 3 Pages. © Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at

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Submission history

[v1] 2019-07-14 03:02:59
[v2] 2019-07-17 17:09:07

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