Recursively Enumerable Set - Formal Definition

Formal Definition

A set S of natural numbers is called recursively enumerable if there is a partial recursive function (synonymously, a partial computable function) whose domain is exactly S, meaning that the function is defined if and only if its input is a member of S.

Read more about this topic:  Recursively Enumerable Set

Famous quotes containing the words formal and/or definition:

    The formal Washington dinner party has all the spontaneity of a Japanese imperial funeral.
    Simon Hoggart (b. 1946)

    It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.
    François, Duc De La Rochefoucauld (1613–1680)