Download A 25-Year Perspective on Logic Programming: Achievements of by Gianfranco Rossi (auth.), Agostino Dovier, Enrico Pontelli PDF

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

This booklet 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 extensive choice of themes in good judgment 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 time colleges. it's been specifically lively in assisting and inspiring younger researchers, by way of supplying scholarships for GULP occasions and awarding distinctive disser- tions. WeintheinternationallogicprogrammingcommunitylookuponGULPwith a mix of envy, admiration and gratitude. we're happy to wait its meetings and summer time colleges, the place we will be able to know about scienti?c advances, meet up with outdated acquaintances and meet younger scholars. it really is an honour for me to recognize our appreciation to GULP for its notable contributions to our ?eld and to specific our greatest needs for its carrying on with prosperity sooner or later. March 2010 Robert Kowalski Imperial university London Preface On June 18, 1985, a gaggle of pioneering researchers, together with representatives from undefined, nationwide study labs, and academia, attended the constituent meeting of the gang of researchers and clients of good judgment Programming (GULP) organization. That used to be the place to begin of an extended event in technology, that 1 we're nonetheless experiencing 25 years later. This quantity celebrates this crucial event.

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Theor. Comput. Sci. 75(1&2), 45–66 (1990) Theoretical Foundations and Semantics of Logic Programming 35 26. : Declarative Modeling of the Operational Behaviour of Logic Languages. Theoretical Computer Science 69, 289–318 (1989) 27. Y. Shapiro’s method. Journal of Logic Programming 4(3), 177–198 (1987) 28. : Observable semantics for constraint logic programs. J. Log. Comput. 5(2), 133–171 (1995) 29. : Goal independency and call patterns in the analysis of logic programs. In: SAC, pp. 394–399 (1994) 30.

2 Galois Insertions and Abstract Interpretation Abstract interpretation [19,20] is a theory developed to reason about the abstraction relation between two different semantics. The theory requires the two semantics to be defined on domains which are complete lattices. (C, ) (the concrete domain) is the domain of the concrete semantics, while (A, ≤) (the abstract domain) is the domain of the abstract semantics. The partial order relations reflect an approximation relation. The two domains are related by a pair of functions α (abstraction) and γ (concretization), which form a Galois insertion.

We can then use to define the equivalence ≈(Ω,ca) . Moreover, since ∪Ω allows us to compose programs which share predicate symbols in Ω only, we only need the information given by clauses in C Ω , where C Ω denotes the set of clauses H :−A such that Pred (A) ⊆ Ω. Definition 9. Let I, J ⊆ C. We define I J iff for any c ∈ I there exists c ∈ J such that c ≤c c and vice versa. Moreover I ∼(Ω,ca) J iff I ∩ C Ω J ∩ C Ω . It can be shown that ∼(Ω,ca) is finer than (and hence correct wrt) ≈(Ω,ca) . ∼(Ω,ca) is a congruence wrt infinite unions and wrt the Γ operator and therefore, we obtain automatically from the scheme for any program P , I(Ω,ca) , T (Ω,ca) , O(Ω,ca) and F(Ω,ca) by using ∼(Ω,ca) as ∼.

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