Set Theory and Logic


Selectivity in Sets and the Duality P vs NP

Authors: Haroun Boutamani

This paper addresses the concept of selectivity using a main set and an auxiliary set, the auxiliary serves the purpose of deciding which elements do or do not fit together within the output sets chosen based on the elements of the main set. This paper also presents an approach of comparing sets based on a defined relation, the sets’ properties, and the elementary properties being total compatibility and total incompatibility. The problem classes P and NP are two sets considered under the criteria of distinguishability, then the possibility of comparison of the two sets is discussed. The proposed comparison presents a distinction between P and NP.

Comments: 7 Pages.

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Submission history

[v1] 2017-04-27 12:26:58
[v2] 2017-04-28 05:12:42
[v3] 2017-04-28 12:39:10
[v4] 2017-04-30 07:25:19
[v5] 2017-05-02 09:51:47
[v6] 2017-05-04 09:43:56
[v7] 2017-05-05 07:29:39
[v8] 2017-05-12 02:48:50

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