Category:Exclusive Or
Jump to navigation
Jump to search
This category contains results about the exclusive or of propositional logic.
Definitions specific to this category can be found in Definitions/Exclusive Or.
Exclusive or is a binary connective which can be written symbolically as $p \oplus q$ whose behaviour is as follows:
- $p \oplus q$
means:
- Either $p$ is true or $q$ is true but not both.
or symbolically:
- $p \oplus q := \paren {p \lor q} \land \neg \paren {p \land q}$
where $\land$ denotes the and operator and $\lor$ denotes the or operator.
Subcategories
This category has the following 6 subcategories, out of 6 total.
E
- Examples of Exclusive Or (4 P)
- Exclusive Or is Commutative (3 P)
- Exclusive Or with Tautology (3 P)
Pages in category "Exclusive Or"
The following 13 pages are in this category, out of 13 total.
E
- Exclusive Or as Conjunction of Disjunctions
- Exclusive Or as Disjunction of Conjunctions
- Exclusive Or is Associative
- Exclusive Or is Commutative
- Exclusive Or is Negation of Biconditional
- Exclusive Or is Self-Inverse
- Exclusive Or Properties
- Exclusive Or with Contradiction
- Exclusive Or with Factor of Exclusive Or
- Exclusive Or with Itself
- Exclusive Or with Tautology