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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.
A logical equality of propositions and may be written in various ways. Among the most common are these:
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A truth table for appears below:
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A logical graph for is shown below:
The traversal string of this graph is The proposition may be taken as a Boolean function having the abstract type where is interpreted in such a way that means and means
A Venn diagram for indicates the region where is true by means of a distinctive color or shading. In this case the region consists of two single cells, as shown below:
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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.