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Properties of the Lattice of Observables in Logic Programming (1997)  (Make Corrections)  (3 citations)
Gianluca Amato, Giorgio Levi



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Abstract: We show several properties of the abstract interpretation settings regarding relationships between precision of semantic operators and abstract domains composition. Then, we apply these results to the framework for logic programs introduced in [3], extended with the new class of operational observables. We prove that the classes of perfect, denotational and operational observables are complete lattices and we discuss some problems that arise studying them. Finally, we show how to use functional ... (Update)

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.... interpretation ideas have been mostly successful in the study of semantics, as the growing literature on this topic shows (e.g. see [Amato and Levi 1997; Comini and Levi 1994; Comini et al. 1995; Fages and Gori 1996; Giacobazzi 1996; Giacobazzi and Ranzato 1995, 1996] and...

...symmetric w.r.t. Axiom (6.3) i.e. ff(D . D 0 ) ff( fl ffi ff)D . D 0 ) This class (operational observables) has been studied in [1] and seems to include no interesting observables. The relation between operational and denotational definitions that we have noticed for...

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Making Abstract Interpretations Complete - Giacobazzi, Ranzato (1997)   (Correct)
A Theory of Observables for Logic Programs - Comini, Levi, Meo (1996)   (Correct)
Uniform Closures: Order-Theoretically Reconstructing Logic.. - Giacobazzi, al. (1998)   (Correct)

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0.4:   Compositionality Properties of SLD-derivations - Comini, Meo (1996)   (Correct)
0.4:   Functional Compositions of Abstract Interpretations - Giacobazzi, al.   (Correct)

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3:   Systematic design of program analysis frameworks (context) - Cousot, Cousot - 1979
3:   Declarative modeling of the operational behavior of logic languages (context) - Falaschi, Levi et al. - 1989
3:   Abstract interpretation: a unified lattice model for static analysis of programs.. (context) - Cousot, Cousot - 1977

BibTeX entry:   (Update)

Amato, G. and Levi, G. 1997. Properties of the lattice of observables in logic programming. In Proceedings of the Italian-Portuguese-Spanish Joint Conference on Declarative Programming, (APPIA- GULP-PRODE '97 ). 175--187. http://citeseer.ist.psu.edu/amato97properties.html   More

@misc{ amato97properties,
  author = "G. Amato and G. Levi",
  title = "Properties of the lattice of observables in logic programming",
  text = "Amato, G. and Levi, G. 1997. Properties of the lattice of observables in
    logic programming. In Proceedings of the Italian-Portuguese-Spanish Joint
    Conference on Declarative Programming, (APPIA- GULP-PRODE '97 ). 175--187.",
  year = "1997",
  url = "citeseer.ist.psu.edu/amato97properties.html" }
Citations (may not include all citations):
1838   Foundations of Logic Programming (context) - Lloyd - 1987  ACM
815   Abstract Interpretation: A Unified Lattice Model for Static .. (context) - Cousot, Cousot - 1977  DBLP
312   Systematic Design of Program Analysis Frameworks (context) - Cousot, Cousot - 1979  ACM   DBLP
218   Abstract Interpretation and Applications to Logic Programs (context) - Cousot, Cousot - 1992
146   Introduction to Logic Programming (context) - Apt - 1990  ACM   DBLP
128   Declarative Modeling of the Operational Behavior of Logic La.. (context) - Falaschi, Levi et al. - 1989  ACM   DBLP
124   Lattice Theory (context) - Birkhoff - 1967
68   A Model-Theoretic Reconstruction of the Operational Semantic.. (context) - Falaschi, Levi et al. - 1993  ACM   DBLP
29   Complementation in abstract interpretation (context) - Cortesi, File et al. - 1995  ACM   DBLP
25   Fixpoint Semantics for Partial Computed Answer Substitutions.. (context) - Gabbrielli, Meo - 1992  ACM   DBLP
17   collecting semantics for analysis in a hierarchy of logic pr.. (context) - Giacobazzi - 1996
15   Functional dependencies and moore-set completions of abstrac.. - Giacobazzi, Ranzato - 1995  DBLP
12   Compositionality of SLD-derivations and their abstractions - Comini, Levi et al. - 1995
8   Compositionality properties of SLD-derivations - Comini, Meo - 1996  ACM
7   Resultants semantics for PROLOG - Gabbrielli, Levi et al. - 1996  DBLP
5   A theory of observables for logic programs - Comini, Levi et al. - 1996  DBLP
2   A framework for reasoning about the Semantics of Logic Progr.. (context) - Meo - 1996

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Resultants Semantics for Prolog - Gabbrielli, Levi, Meo (1996)   (Correct)

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