Exclusive disjunction

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Exclusive disjunction, also known as logical inequality or symmetric difference, is an operation on two logical values, typically the values of two propositions, that produces a value of true just in case exactly one of its operands is true.

The truth table of Failed to parse (Missing texvc executable; please see math/README to configure.):

also written  or Failed to parse (Missing texvc executable; please see math/README to configure.): 
appears below:

The following equivalents may then be deduced:

Syllabus

Focal nodes

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Logical operators

Exclusive disjunction Logical conjunction Logical disjunction Logical equality

Logical implication Logical NAND Logical NNOR Negation

Related topics

Ampheck Boolean domain Boolean function Boolean-valued function Differential logic

Logical graph Minimal negation operator Multigrade operator Parametric operator Peirce's law

Propositional calculus Sole sufficient operator Truth table Universe of discourse Zeroth order logic

Relational concepts

Continuous predicate Hypostatic abstraction Logic of relatives Logical matrix

Relation Relation composition Relation construction Relation reduction

Relation theory Relative term Sign relation Triadic relation

Information, Inquiry

Inquiry Dynamics of inquiry

Semeiotic Logic of information

Descriptive science Normative science

Pragmatic maxim Truth theory

Related articles

Cactus Language Futures Of Logical Graphs Propositional Equation Reasoning Systems

Differential Logic : Introduction Differential Propositional Calculus Differential Logic and Dynamic Systems

Prospects for Inquiry Driven Systems Introduction to Inquiry Driven Systems Inquiry Driven Systems : Inquiry Into Inquiry

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.

• Exclusive Disjunction, InterSciWiki
• Exclusive Disjunction, MyWikiBiz
• Exclusive Disjunction, Subject Wikis
• Exclusive Disjunction, Wikinfo
• Exclusive Disjunction, Wikiversity
• Exclusive Disjunction, Wikiversity Beta
• Exclusive Disjunction, Wikipedia