By Paul E. Torgensen
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Extra info for A concept of organization
A, THAT IS WHEN THE NEW a IS INCONSISTENT WITH K AND WE WANT TO MAINTAIN CONSISTENCY SOME BELIEFS OF K MUST BE WITHDRAWN BEFORE a CAN BE ACCOMODATED: K' a Figure 5. Belief revision. 18 A1iseda (1997, 2000) makes use of the belief revision framework to construct a theory of the epistemic transition between the states of doubt and belief able to account for many aspects of abductive reasoning. On the relationships between belief revision dynamics in data bases and abduction cf. Aravindan and Dung, 1995.
F·'FFI To conclude, if we want to provide a suitable framework for analyzing the most interesting cases of conceptual changes in science we do not have to limit ourselves to the sentential view of theoretical abduction but we have to consider a broader inferential one which encompasses both sentential and what I call model-based sides of creative abduction (see, for details, section 3). 1 Abduction and induction in logic programming The syllogistic account of abduction we described above is the starting point of much research in AI and logic programming devoted to perform tasks such as diagnosis in medical reasoning and planning.
Hence, inconsistency resolution in belief revision framework is captured by the concept of revision. Another way of belief change is the process of contraction. When a belief set K is contracted by A, the resulting belief set K + A is such that A is no longer held, without adding any new fad 8 • IS SUCH THAT a IS NO LONGER HELD WITHOUT ADDING NEW FACTS + ,~ J*----f REGARDLESS OF WHETHER THE LARGER SET IS CONSISTENT BELIEF CHANGE BELIEF REVISION REVISION HAPPENS WHEN K 1= REVISION K~a. ,a, THAT IS WHEN THE NEW a IS INCONSISTENT WITH K AND WE WANT TO MAINTAIN CONSISTENCY SOME BELIEFS OF K MUST BE WITHDRAWN BEFORE a CAN BE ACCOMODATED: K' a Figure 5.