Logical equality
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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 as \(p = q,\!\) \(p \Leftrightarrow q,\!\) or \(p \equiv q,\!\) is as follows:
| \(p\!\) | \(q\!\) | \(p = q\!\) |
| \(\operatorname{F}\) | \(\operatorname{F}\) | \(\operatorname{T}\) |
| \(\operatorname{F}\) | \(\operatorname{T}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{F}\) | \(\operatorname{F}\) |
| \(\operatorname{T}\) | \(\operatorname{T}\) | \(\operatorname{T}\) |
Syllabus
Focal nodes
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Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
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.
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