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  J. LOGIC PROGRAMMING 1999, VOLUME??:1--36 1 TRANSFORMATION-BASED BOTTOM-UP COMPUTATION OF THE WELL-FOUNDED MODEL

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by Stefan Brass J, Urgen Dix, Burkhard Freitag, Ulrich Zukowski
http://www.sis.pitt.edu/~sbrass/publ/BDFZ98a.ps.gz
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Abstract:

. We present a bottom-up algorithm for the computation of the wellfounded model of non-disjunctive logic programs. Our method is based on the elementary program transformations studied by Brass and Dix [BD94, BD97, BD98a]. However, their "residual program " can grow to exponential size, whereas for function-free programs our "program remainder " is always polynomial in the size of the extensional database (EDB). As in the SLG-resolution of Chen and Warren [CW93, CW96, CSW95], we do not only delay negative but also positive literals if they depend on delayed negative literals. When disregarding goal-directedness, which needs additional concepts, our approach can be seen as a simplified bottom-up version of SLG-resolution applicable to range-restricted Datalog programs. Since our approach is also closely related to the alternating fixpoint procedure [VG89, VG93], it can possibly serve as a basis for an integration of the resolution-based, fixpoint-based, and transformation-based evaluation methods.

Citations

1126 The Stable Model Semantics for Logic Programming – Gelfond, Lifschitz - 1988
697 The Well-Founded Semantics for General Logic Programs – Gelder, Ross, et al. - 1991
640 Depth-First Search and Linear Graph Algorithms – Tarjan - 1972
599 Data Structures and Algorithms – Aho, Hopcroft, et al. - 1983
325 Bilattices and the semantics of logic programming – Fitting - 1991
188 A.: An alternating fixpoint of logic programs with negation. Journal of computer and system sciences 47 – Gelder - 1993
185 D.S.: XSB as an efficient deductive database engine – Sagonas, Swift, et al. - 1994
179 Tabled evaluation with delaying for general logic programs – Chen, Warren - 1996
138 The well-founded semantics coincides with the three-valued stable semantics. Fundamenta Informaticae – Przymusinski - 1990
88 Encoding planning problems in nonmonotonic logic programs – Dimopoulos, Koehler, et al. - 1997
73 D.S.: Efficient top-down computation of queries under the well-founded semantics – Chen, Swift, et al. - 1995
61 On the declarative and procedural semantics of logic programs – Przymusinski - 1989
53 Mixed integer programming methods for computing nonmonotonic deductive databases – Bell, Nerode, et al. - 1994
53 Tabulated resolution for well-founded semantics – Bol, Degerstadt - 1993
52 Semantics of (Disjunctive) Logic Programs Based on Partial Evaluation – Brass, Dix - 1999
50 A Classification-Theory of Semantics of Normal Logic Programs – Dix - 1995
49 Characterizations of the Disjunctive Stable Semantics by Partial Evaluation – Brass, Dix - 1997
44 Linear-time algorithms for testing the satis of propositional Horn formulae – Dowling, Gallier - 1984
41 Logic Programming as Constructivism: A Formalization and its Application to Databases – Bry - 1989
38 A general approach to bottom-up computation of disjunctive semantics – Brass, Dix - 1995
36 Controlling the search in bottom-up evaluation – Ramakrishnan, Srivastava, et al. - 1992
34 Characterizations of the Disjunctive Well-founded Semantics: Confluent Calculi and Iterated GCWA – Brass, Dix - 1998
34 Three-Valued Non-Monotonic Formalisms and Semantics of Logic Programs – Przymusinski - 1991
32 XSB: A system for efficiently computing well-founded semantics – Rao, Sagonas, et al. - 1997
31 Magic Sets and Bottom-Up Evaluation of Well-Founded Models – Kemp, Stuckey, et al. - 1991
30 XSB as an ecient deductive database engine – Sagonas, Swift, et al. - 1994
27 A Disjunctive Semantics Based on Unfolding and Bottom-up Evaluation – Brass, Dix - 1994
27 Bottom-up Evaluation and Query Optimization of Well-founded Models – Kemp, Srivastava, et al. - 1995
26 A Logic Language for Deductive Databases and its Implementation – LOLA - 1991
24 Transformation-based bottom-up computation of the well-founded model – Brass, Dix, et al. - 2001
23 Implementing stable semantics by linear programming – Bell, Nerode, et al. - 1993
22 Computing well-founded semantics faster – Berman, Schlipf, et al. - 1995
20 Negation in logic programming: A formalization in constructive logic – Bry - 1990
14 Adding flexibility to query evaluation for modularly stratified databases – Zukowski, Freitag - 1996
12 The alternating of logic programs with negation – Gelder - 1989
8 Improving the Alternating Fixpoint: The Transformation Approach – Zukowski, Brass, et al. - 1997
8 Well-Founded Ordered Search: Goal-Directed Bottom-Up Evaluation of Well-Founded Models – Stuckey, Sudarshan - 1997
4 Query-evaluation under the well founded semantics – Chen, Warren - 1993
4 The differential fixpoint of general logic programs – Zukowski, Freitag - 1996
4 Branch and Bound = Stable Models – WFS - 1995
3 Minh Dung and Kanchana Kanchansut. A fixpoint approach to declarative semantics of logic programs – Phan - 1989
3 Marek and Miroslaw Truszczynski. Autoepistemic logic – Wiktor - 1991
3 Minh Dung and Kanchana Kanchansut. A natural semantics of logic programs with negation – Phan - 1989
1 Minh Dung and Kanchana Kanchansut. A approach to declarative semantics of logic programs – Phan - 1989
1 An extension of Van Gelder's alternating to magic programs – Morishita - 1996
1 Niemela and Patrik Simons. Ecient implementation of the wellfounded and stable model semantics – Ilka - 1996
1 Improving the alternating xpoint: The transformation approach – Zukowski, Brass, et al. - 1997
1 Adding to query evaluation for modularly strati databases – Zukowski, Freitag
1 The dierential of general logic programs – Zukowski, Freitag