By Didier Dubois, Henri Prade (auth.), Didier Dubois, Henri Prade (eds.)
Belief switch is an rising box of man-made intelligence and knowledge technology devoted to the dynamics of data and the current ebook offers a cutting-edge photograph of its formal foundations. It bargains with the addition, deletion and mixture of items of data and, extra regularly, with the revision, updating and fusion of information bases. The e-book bargains an intensive assurance of, and seeks to reconcile, traditions within the kinematics of trust that regularly forget about one another - the symbolic and the numerical (often probabilistic) methods. additionally, the paintings encompasses either revision and fusion difficulties, although those also are mostly investigated by way of various groups. ultimately, the e-book offers the numerical view of trust swap, past the probabilistic framework, masking such methods as chance conception, trust services and convex gambles.
The paintings therefore offers a unified view of trust switch operators, drawing from a greatly scattered literature embracing philosophical common sense, synthetic intelligence, uncertainty modelling and database platforms. the fabric is a in actual fact organised consultant to the literature at the dynamics of epistemic states, wisdom bases and unsure details, appropriate for students and graduate scholars conversant in utilized good judgment, wisdom illustration and unsure reasoning.
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Additional info for Belief Change
6). 2 Beliefbases andfoundationalism The use of belief bases has the advantage of allowing for more distinctions, but it gives rise to troublesome questions on how these distinctions should be drawn. , worth retaining for its own sake (even if it is not implied by some other belief that is worth retaining). In a sense, however, this is a reformulation of the question rather than an answer. The next question is: Which beliefs are self-sustained in this sense? The most clear examples are beliefs that are directly based on memories [Hansson, 1994b].
Then n W is a belief set. Propositions provide us with a more intuitively clear picture of some aspects of belief change. L (the set of possible worlds). In Figure 1, every point on the rectangle's surface represents a possible world. The circle marked [K] represents those possible REVISION OF BELIEF SETS AND BELIEF BASES 43 [aJ [KJ Figure 1. Revision of K by a. , the set [K] of possible worlds. The area marked [a J represents those possible worlds in which the sentence a is true. In Figure 1, [K] and [aJ have a non-empty intersection, which means that K is compatible with a.
A relation that satisfies all of them will be called a standard entrenchment ordering for the belief set K. It is important to observe that one of these postulates, namely minimality, explicitly refers to the belief set. Therefore, a standard entrenchment ordering is always an entrenchment orderingfor a specified belief set. It cannot be used for any other set of beliefs than the one it is intended for. Given the standard postulates, our next task is to delineate the proper formal connections between a contraction operator and an entrenchment ordering.