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SLS-resolution without floundering (1993)  (Make Corrections)  (6 citations)
W/lodzimierz Drabent IPI PAN, Polish Academy of Sciences Ordona 21, Pl -...
Logic Programming and Non-monotonic Reasoning



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Abstract: SLS-resolution is an abstract query answering procedure for computing the well-founded semantics of normal programs. It is incomplete due to floundering. We present an extension of SLS-resolution that avoids this problem. 1 Introduction From the point of view of non-monotonic reasoning, the most suitable semantics for logic programs is the well-founded semantics [5]. It is equivalent to appropriate forms of all four major formalizations of non-monotonic reasoning [15]. The standard abstract... (Update)

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.... Examples are intensional negation [3, 4] Chan s constructive negation [6, 7] the fail substitutions [23] and the fail answers [10, 9] techniques. The idea of intensional negation, originally formalized for positive logic programs [3, 4] is the following. Given a...

...for p(b) of rank ff exists only if a failed tree (a refutation) for p(b) exists for some rank ff. 2 Further examples are given in [Dra93b]. The following examples show the need for infinite ranks and for infinitely branching failed trees. Example 7.3 Consider a program even(0)...

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Semantics for Reasoning with Contradictory Extended Logic.. - Analyti, Pramanik (1994)   (Correct)
Completeness Of SLDNF-Resolution For Non-Floundering Queries - Drabent (1994)   (Correct)
Compilative Constructive Negation in Constraint Logic.. - Bruscoli, Levi, Levi, Meo (1994)   (Correct)

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0.2:   Prolegomena to Logic Programming for Non-Monotonic.. - Jürgen Dix.. (1997)   (Correct)
0.2:   On Constructive Negation in Logic Programming - Przymusinski (1995)   (Correct)

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0.5:   A Procedural Semantics for Well Founded Negation in Logic Programs - Ross (1989)   (Correct)
0.3:   The Notion of Floundering for SLDNF-Resolution Revisited - Réty   (Correct)
0.3:   Proving Correctness and Completeness of Normal Programs - a.. - Drabent (2001)   (Correct)

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6:   Constraint Logic Programming (context) - Jaffar, Lassez - 1987
6:   Constructive negation for constraint logic programming (context) - Stuckey - 1995
5:   Negation in logic programming (context) - Kunen - 1987

BibTeX entry:   (Update)

W. Drabent. SLS-resolution without floundering. In L. M. Pereira and A. Nerode, editors, Proc. of the Workshop on Logic Programming and Non-monotonic reasoning, pages 82--98, 1993. http://citeseer.ist.psu.edu/47171.html   More

@inproceedings{ drabent93slsresolution,
    author = "Wlodzimierz Drabent",
    title = "{SLS}-Resolution without Floundering",
    booktitle = "Logic Programming and Non-monotonic Reasoning",
    pages = "82-98",
    year = "1993",
    url = "citeseer.ist.psu.edu/47171.html" }
Citations (may not include all citations):
1838   Foundations of Logic Programming (context) - Lloyd - 1987
858   The stable model semantics for logic programming - Gelfond, Lifschitz - 1988
312   The well-founded semantics for general logic programs - van Gelder, Ross et al. - 1991
186   Negation in logic programming (context) - Kunen - 1987
118   Complete axiomatization of the algebras of finite (context) - Maher - 1988
112   OLD-resolution with tabulation (context) - Sato, Tamaki - 1986
109   Constructive negation based on the completed database (context) - Chan - 1988
88   Every logic program has a natural stratification and an iter.. - Przymusinski - 1989
70   Equational problems and disunification (context) - Comon, Lescanne - 1989
62   the declarative and procedural semantics of logic programs - Przymusinski - 1989
55   A procedural semantics for well founded negation in logic pr.. - Ross - 1992
48   A Basis for Deductive Database Systems (context) - Lloyd, Topor - 1985
30   Finite Representation of Infinite Query Answers - Chomicki, Imieli'nski - 1993
24   Language and equality theory in logic programming (context) - Shepherdson - 1991
19   A query evaluation method for stratified programs under the .. (context) - Seki, Itoh - 1988
15   A sound and complete semantics for a version of negation as .. (context) - Shepherdson - 1989
9   Complete logic programs with domain closure axiom (context) - Mancarella, Martini et al. - 1988
8   Three-valued non-monotonic formalisms and logic programming (context) - Przymusinski - 1989
8   Fail substitutions for negation as failure (context) - Ma, Naslund - 1989
1   Preliminary version appeared as Technical Report LiTH-IDA-R (context) - Drabent, failure et al. - 1991



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