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# Download Recursion theory, its generalisations and applications: by F. R. Drake, S. S. Wainer PDF

By F. R. Drake, S. S. Wainer

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Extra info for Recursion theory, its generalisations and applications: Proceedings Leeds, 1979

Example text

Konstantopoulos etc. These guide the search away from solutions that are known to be unsatisﬁable or otherwise unwarranted, providing mechanisms for optimization and for enforcing conformance with a prior theoretical framework. In our approach, there are two sources of prior knowledge: (a) DL syntax and semantics, so that all constructed hypotheses correspond to valid DL propositions, and (b) the axiomatization of the domain within which a theory is to be constructed, providing semantic restrictions that can optimize the search.

Those approaches are interesting because they summarize the data and they are not subject to combinatorial explosion, even when applied to nested tables. Complex Aggregates. Full-ﬂedged relational data mining systems do not dissociate the propositionalisation step from the construction of the model. Most of the full-ﬂedged relational data mining systems, as for example Progol [18], do not explicitly deal with numeric attributes. Nevertheless, Tilde [4] has been modiﬁed to construct complex aggregates [21].

1 Establishing Priors At the core of the Progol algorithm, and ILP approaches in general, is a search through the space of admissible hypotheses. This space is never made explicit, but is deﬁned by (a) a reﬁnement operator which traverses the space by repeatedly generating clauses to be evaluated by the search heuristics; and (b) other pieces of prior knowledge such as the syntactic and semantic constraints that valid hypotheses must satisfy. Such restrictions reﬂect prior knowledge about the domain of application, including the input and output types of predicate arguments, disjointness axioms, 26 A.