Set Theory and Logic


Simplifying Compound Proposition and Logical Equation

Authors: Oh Jung Uk

If B(P) is the truth value of proposition P then connectives could be translated to arithmetic operation in the congruent expression of 2 as described below. B(~p)≡1+B(p)( mod 2 ),B(p∧q)≡B(p)B(q)( mod 2 ) B(p∨q)≡B(p)+B(q)+B(p)B(q)( mod 2 ) B(p⟶q)≡1+B(p)+B(p)B(q)( mod 2 ) B(p⟷q)≡1+B(p)+B(q)(mod 2) By using this, logical laws could be proved, compound proposition could be simplified, and logical equation could be solved.

Comments: 8 Pages.

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Submission history

[v1] 2014-08-07 22:42:05

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