Formal Definition
Formally, a constraint satisfaction problem is defined as a triple, where is a set of variables, is a domain of values, and is a set of constraints. Every constraint is in turn a pair (usually represented as a matrix), where is an -tuple of variables and is an -ary relation on . An evaluation of the variables is a function from the set of variables to the domain of values, . An evaluation satisfies a constraint if . A solution is an evaluation that satisfies all constraints.
Read more about this topic: Constraint Satisfaction Problem
Famous quotes containing the words formal and/or definition:
“I will not let him stir
Till I have used the approvèd means I have,
With wholesome syrups, drugs, and holy prayers,
To make of him a formal man again.”
—William Shakespeare (1564–1616)
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)