Definition: In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Input: In previous work [BGHK92, BGHK93], we have studied the random-worlds approach�a particular (and quite powerful) method for generating degrees of belief (i.e., subjective probabilities) from a knowl­ edge base consisting of objective (first-order, slalisti­ cal, and defaull) infonnation. But allowing a know l ­ edge base to contain only objective information is sometimes limiting. We occa<;ionally wish to include infonnation about degrees of belief in the knowledge base as well, because there are contexts in which old be1iefs represent important information that should influence new beliefs. In this paper, we describe three quite general techniques for extending a method that generates degrees of belief from objective informa­ tion to one that can make use of degrees of belief as well. All of our techniques are ha<;ed on well-known approaches, such a5 cross-emropy. We discuss gen­ eral connections between the techniques and in partic­ ular show that, although conceptually and technically quite different, all of the techniques give the same answer when applied to the random-worlds method.

Generating New Beliefs From Old*