Boolean Logic Relation
A Boolean Logic Relation is a Bolean relation (whose relation domain is a truth set) whose relation arguments must also be Boolean variables.
- AKA: Logic Relation.
- Context:
- It can range from being a Binary Boolean Logic Relation to being an n-Ary Boolean Logic Relation.
- It can be a part of a Boolean Logic System.
- It can be a part of a Logic Sentence.
- …
- Example(s):
- Counter-Example(s):
- See: Propositional Logic Relation.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/boolean_function Retrieved:2015-6-14.
- In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ : Bk → B, where B = {0, 1} is a Boolean domain and k is a non-negative integer called the arity of the function. In the case where k = 0, the "function" is essentially a constant element of B.
Every k-ary Boolean function can be expressed as a propositional formula in k variables x1, …, xk, and two propositional formulas are logically equivalent if and only if they express the same Boolean function. There are 22k k-ary functions for every k.
- In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ : Bk → B, where B = {0, 1} is a Boolean domain and k is a non-negative integer called the arity of the function. In the case where k = 0, the "function" is essentially a constant element of B.
- https://en.wiktionary.org/wiki/Boolean_function#English
- Any function based on the operations AND, OR and NOT, and whose elements are from the domain of Boolean algebra.
2017
- (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/boolean_function Retrieved:2017-8-14.
- In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ : Bk → B, where B = {0, 1} is a Boolean domain and k is a non-negative integer called the arity of the function. In the case where k = 0, the "function" is essentially a constant element of B.
Every k-ary Boolean function can be expressed as a propositional formula in k variables x1, …, xk, and two propositional formulas are logically equivalent if and only if they express the same Boolean function. There are 22k k-ary functions for every k.
- In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ : Bk → B, where B = {0, 1} is a Boolean domain and k is a non-negative integer called the arity of the function. In the case where k = 0, the "function" is essentially a constant element of B.