In computational complexity theory, a promise problem is a generalization of a decision problem where the input is promised to belong to a subset of all possible inputs. Unlike decision problems, the yes instances (the inputs for which an algorithm must return yes) and no instances do not exhaust the set of all inputs. Intuitively, the algorithm has been promised that the input does indeed belong to set of yes instances or no instances. There may be inputs which are neither yes or no. If such an input is given to an algorithm for solving a promise problem, the algorithm is allowed to output anything.
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Famous quotes containing the words promise and/or problem:
“Angela Vickers: Did you promise to be a good boy? Not to waste your time on girls?
George Eastman: I don’t waste my time.”
—Michael Wilson (1914–1978)
“It is very comforting to believe that leaders who do terrible things are, in fact, mad. That way, all we have to do is make sure we don’t put psychotics in high places and we’ve got the problem solved.”
—Tom Wolfe (b. 1931)