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Extra info for An image registration technique for recovering rotation, scale and translation parameters
Koch That way, we can take a tree, re-label its nodes, and declare some of them as irrelevant, but we cannot signiﬁcantly transform its original structure. This coincides with the intuition that a wrapper may change the presentation of relevant information, its packaging or data model (which does not apply in the case of Web wrapping), but does not handle substantial data transformation tasks. We believe that this captures exactly the essence of wrapping. In , we proposed unary queries in monadic second-order logic (MSO) over unranked trees as an expressiveness yardstick for information extraction functions.
Antoniou Towards this aim, each AGM postulate was reformulated so as to be applicable to all logics under our framework, while preserving the intuition that led to its definition. The resulting postulates can be found below, where the naming and numbering of each postulate corresponds to the original AGM naming and numbering : (K−1) Closure: (K−2) Inclusion: Cn(K−X)=K−X K−X⊆Cn(K) (K−3) Vacuity: If X⊈Cn(K), then K−X=Cn(K) (K−4) Success: (K−5) Preservation: (K−6) Recovery: If X⊈Cn(∅), then X⊈Cn(K−X) If Cn(X)=Cn(Y), then K−X=K−Y K⊆Cn((K−X)∪X) It can be easily shown that these postulates are equivalent to the original ones in the presence of the AGM assumptions.
It is assumed that Cn satisfies three intuitive properties (iteration, inclusion, monotony) that allow it to behave in a rational manner. For details see , . It can be easily shown that the above framework engulfs most logics used for knowledge representation. In particular, all monotonic DLs and all the formalisms that have been used for belief change are expressible through some