Logic

Inductive Logic Programming: 9th International Workshop, by Daphne Koller (auth.), Sašo Džeroski, Peter Flach (eds.)

By Daphne Koller (auth.), Sašo Džeroski, Peter Flach (eds.)

This ebook constitutes the refereed court cases of the ninth overseas convention on Inductive good judgment Programming, ILP-99, held in Bled, Slovenia, in June 1999.
The 24 revised papers awarded have been rigorously reviewed and chosen from forty submissions. additionally incorporated are abstracts of 3 invited contributions. The papers deal with all present matters in inductive good judgment programming and inductive studying, from foundational and methodological concerns to functions, e.g. in average language processing, wisdom discovery, and knowledge mining.

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Extra info for Inductive Logic Programming: 9th International Workshop, ILP-99 Bled, Slovenia, June 24–27, 1999 Proceedings

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Given a rule r, background predicates B, and a specialisation operator σ, a split of r is a set of rules s = {r1 , . . ,rn }∪B = M{r}∪B . Furthermore, s is said to be a non-overlapping split if M{ri }∪B ∩ M{rj }∪B = MB for all i, j = 1, . . , n such that i = j. 3 Reconsider-and-Conquer Reconsider-and-Conquer works like Separate-and-Conquer in that rules are iteratively added to the hypothesis while removing covered examples from the set of positive examples. However, in contrast to Separate-and-Conquer, which adds a single rule on each iteration, Reconsider-and-Conquer adds a set of rules.

D) = θ⊥ (C) ∪ {Xj /Xi }, F(D) = F(C) \ {Xk /B ∈ F(C) | k ≤ j}. 30 L. Badea and M. Stanciu Example 11. Let ⊥ = p(A, A, A, A) and C1 = p(X1 , X2 , X3 , X4 ), θ⊥ (C1 ) = {X1 /A, X2 /A, X3 /A, X4 /A}, F(C1 ) = {X1 /A, X2 /A, X3 /A, X4 /A}. The substitution {X3 /X1 } eliminates the entire prefix {X1 /A, X2 /A, X3 /A} from F(C1 ): C2 = C1 {X3 /X1 } = p(X1 , X2 , X1 , X4 ), θ⊥ (C2 ) = {X1 /A, X2 /A, X4 /A}, F(C2 ) = {X4 /A}. Now, only the substitutions involving X4 are allowed for C2 . 5 Refinement Operators for Clauses with Variable Dependencies Most implemented ILP systems restrict the search space by providing mode declarations that impose constraints on the types of the variables.

3. Grobelnik M. Induction of Prolog programs with Markus. LOPSTR’93, 57-63. 4. Muggleton S. Inverse entailment and Progol. New Generation Computing Journal, 13:245-286, 1995. 5. van der Laag P. An Analysis of Refinement Operators in ILP. PhD Thesis, Tinbergen Inst. Res. Series 102, 1995. 6. H. Nienhuys-Cheng. Existence and Nonexistence of Complete Refinement Operators. ECML-94, 307-322. Combining Divide-and-Conquer and Separate-and-Conquer for Efficient and Effective Rule Induction Henrik Bostr¨ om and Lars Asker Dept.

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