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Intuitionistic Implication and Resolution  (Make Corrections)  
Alain Hui-Bon-Hoa
Symposium on Logic Programming



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Abstract: Some recent works rely on the intuitionistic theory of Hereditary Harrop formulas to provide extensions for Horn clauses while preserving the logic paradigm. In particular, an intuitionistic implication is used to provide some form of scoping. However the lack of appropriate evaluation strategies, notably a strategy relying on a forward-chaining search, has limited its application. This paper investigates a resolution schema for propositional Hereditary Harrop formulas, extending the resolution ... (Update)

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BibTeX entry:   (Update)

@inproceedings{ huibonhoa94intuitionistic,
    author = "Alain Hui-Bon-Hoa",
    title = "Intuitionistic Implication and Resolution",
    booktitle = "Symposium on Logic Programming",
    pages = "409-423",
    year = "1994",
    url = "citeseer.ist.psu.edu/376919.html" }
Citations (may not include all citations):
340   Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991  ACM   DBLP
257   Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1994  ACM   DBLP
129   The foundation of a generic theorem prover - Paulson - 1989  ACM   DBLP
82   Prolog: an extension of Prolog with hypothetical implication.. (context) - Gabbay - 1984
60   Contraction-free sequent calculi for intuitionistic logic (context) - Dyckhoff - 1992  DBLP
55   Clausal intuitionistic logic (context) - McCarty - 1988
54   Partial polymorphic type inference and higher-order unificat.. (context) - Pfenning - 1988  ACM   DBLP
53   Implementing tactics and tacticals in a higher-order logic p.. - Felty - 1993  DBLP
43   Specifications as search keys for software libraries - Rollins, Wing - 1991  DBLP
31   A Higher-Order Logic as the Basis for Logic Programming - Nadathur - 1987  ACM
26   Extending definite clause grammars with scoping constructs (context) - Pareschi, Miller - 1990  ACM   DBLP
20   Efficient bottomup computation of queries on stratified data.. (context) - Balbin, Port et al. - 1991
20   Abstract syntax and logic programming (context) - Miller - 1992  ACM   DBLP
18   A proof procedure for the logic of Hereditary Harrop formula.. - Nadathur - 1993  ACM   DBLP
17   Expressing database queries with intuitionistic logic - Bonner, McCarty et al. - 1989  DBLP
14   Clausal intuitionistic logic II (context) - McCarty - 1988
13   Semantic interpretation as higher-order deduction - Pereira - 1990  ACM   DBLP
7   Hypothetical Datalog: complexity and expressibility - Bonner - 1988
2   A language for legal discourse I: basic features (context) - McCarty - 1989
1   Intuitionistic resolution for a logic programming language w.. (context) - Hui-Bon-Hoa - 1994  ACM   DBLP

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