By Gianfranco Rossi (auth.), Agostino Dovier, Enrico Pontelli (eds.)

ISBN-10: 3642143083

ISBN-13: 9783642143083

This ebook celebratesthe twenty fifth anniversaryof GULP—the Italian Associationfor LogicProgramming.Authored by way of Italian researchersat the forefront in their ?elds, it offers an up to date survey of a huge selection of themes in common sense programming, making it an invaluable reference for either researchers and scholars. in the course of its 25-year lifestyles, GULP has organised quite a lot of nationwide and foreign actions, together with either meetings and summer season faculties. it's been specifically energetic in assisting and inspiring younger researchers, via supplying scholarships for GULP occasions and awarding uncommon disser- tions. WeintheinternationallogicprogrammingcommunitylookuponGULPwith a mix of envy, admiration and gratitude. we're happy to wait its meetings and summer season faculties, the place we will be able to know about scienti?c advances, meet up with previous acquaintances and meet younger scholars. it's an honour for me to recognize our appreciation to GULP for its impressive contributions to our ?eld and to precise our greatest needs for its carrying on with prosperity sooner or later. March 2010 Robert Kowalski Imperial collage London Preface On June 18, 1985, a bunch of pioneering researchers, together with representatives from undefined, nationwide learn labs, and academia, attended the constituent meeting of the crowd of researchers and clients of good judgment Programming (GULP) organization. That was once the start line of an extended event in technological know-how, that 1 we're nonetheless experiencing 25 years later. This quantity celebrates this significant event.

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**Additional resources for A 25-Year Perspective on Logic Programming: Achievements of the Italian Association for Logic Programming, GULP**

**Example text**

An SLD-refutation of P ∪ G is a finite SLD-derivation of P ∪ G which has the empty clause ✷ as the last goal in the derivation. Following [1], a selection rule R is a function which when applied to a “history” containing all the clauses and the mgu’s used in the derivation G0 , G1 , . . , Gi , returns an atom in Gi (the selected atom in Gi ). Given a selection rule R, an SLD-derivation is called via R if all the selections of atoms in the resolvents are performed according to R. ϑ In the following G P,R∗ B denotes a finite SLD-derivation of P ∪ G via selection rule R, which has length ≥ 0, where ϑ is the composition of the mgu’s introduced and B is the last resolvent in the derivation.

The compositional case can be obtained by using techniques similar to those used in the above section. From the clauses in F (P ) it is possible to extract the information needed to model partial answers and call patterns for any goal G. For example, since each clause H :−B β ∗ in F (P ) corresponds to a derivation p(X) P,R B (where H = p(X)β) ϑ is a partial answer for the goal p(X) if there exists a clause H :−B in F (P ) such that γ = mgu(p(X), H) and ϑ = γ|p(X) . Moreover ϑ is a correct partial answer for p(X) if there exists also a conjunction C containing atoms from F (P ) such that B and C unify.

Bn , ∃ K ⊆ {1, . . , n}, J = {1, . . , n} \ K, ∃s ∈ J, such that for any k ∈ K and for any j ∈ J φ(k) < φ(s) ≤ φ(j) ∃ a sequence H of atoms in I and ∃ a clause H :−B in I ∪ IdΠ such that ϑ = mgu((BK , Bs ), (H, H )) and D is obtained from B−K by replacing Bs with B }. Theoretical Foundations and Semantics of Logic Programming 29 All the results shown in Section 4 hold also for this specialized version of the immediate consequence operator. In particular if ∼ is a congruence wrt infinite unions and the Γ operator, then TP,R = [ΓP,R (ι(I))] (the semantic counterpart of the syntactic operator ΓP,R ) is well defined.

### A 25-Year Perspective on Logic Programming: Achievements of the Italian Association for Logic Programming, GULP by Gianfranco Rossi (auth.), Agostino Dovier, Enrico Pontelli (eds.)

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