High Quality Content by WIKIPEDIA articles! In logic and mathematics, a finitary operation is a function of the form : X1 x … x Xk -> Y. The sets Xj are the called the domains of the operation, the set Y is called the codomain of the operation, and the fixed non-negative integer k is called the arity of the operation. An operation of arity zero, called a nullary operation, is simply an element of the codomain Y. An operation of arity k is called a k-ary operation. Thus a k-ary operation is a (k+1)-ary relation that is functional on its first k domains. Elements of the functional domains are called arguments. Elements of the codomain are called values.

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