# Difference between revisions of "Logical equality"

This page belongs to resource collections on Logic and Inquiry.

Logical equality is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true.

The truth table of $$p ~\operatorname{EQ}~ q,$$ also written $$p = q,\!$$ $$p \Leftrightarrow q,\!$$ or $$p \equiv q,\!$$ appears below:

 $$p\!$$ $$q\!$$ $$p = q\!$$ $$\operatorname{F}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{T}$$ $$\operatorname{T}$$

## Syllabus

### Logical operators

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### Relational concepts

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### Information, Inquiry

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## Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.