## 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.

**Download:** **PDF**

### Submission history

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

**Unique-IP document downloads:** 535 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*