Logic Without Arithmetical Relations
Let the successor relation, succ, be a binary relation such that is true if and only if .
Over first order logic, succ is strictly less expressive than <, which is less expressive than +, which is less expressive than bit. + and are as expressive as bit.
Read more about this topic: FO (complexity)
Famous quotes containing the words logic and/or relations:
“The logic of the world is prior to all truth and falsehood.”
—Ludwig Wittgenstein (1889–1951)
“Society does not consist of individuals but expresses the sum of interrelations, the relations within which these individuals stand.”
—Karl Marx (1818–1883)