(Enter summary)
Abstract: . We show that the expressive power of well-founded Datalog
does not decrease when restricted to total programs (it is known to
decrease from \Pi
1
1 to \Delta
1
1 on infinite Herbrand structures) thereby affirmatively
answering an open question posed by Abiteboul, Hull, and Vianu
[AHV95]. In particular, we show that for every well-founded Datalog
program there exists an equivalent total program whose only recursive
rule is of the form
win( X) / move( X; Y ); :win( Y )
where move is... (Update)
Context of citations to this paper: More
.... P , one can find another program whose well founded semantics is total on all inputs and that produces the same positive facts as P [FKL96] Research on well founded semantics, and the related notion of 3 stable model, has its roots in investigations of stable and default model...
...xed points (Theorem 12) We then turn to the question of complete problems. Other than for xedpoint logic without counting (see [2, 7, 5]) it is not easy to nd a complete problem for IFP C under rst order reductions. By adapting the proof of a general result of Dawar...
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6: Relational queries computable in polynomial time
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BibTeX entry: (Update)
J. Flum, M. Kubierschky, and B. Ludascher. Total and partial well-founded datalog coincide. In Proceedings of the 6th International Conference on Database Theory, volume 1186 in Lecture Notes in Computer Science, pages 113--124. Springer-Verlag, 1996. http://citeseer.ist.psu.edu/flum97total.html More
@inproceedings{ flum97total,
author = "Jorg Flum and Max Kubierschky and Bertram Ludascher",
title = "Total and Partial Well-Founded Datalog Coincide",
booktitle = "{ICDT}",
pages = "113-124",
year = "1997",
url = "citeseer.ist.psu.edu/flum97total.html" }
Citations (may not include all citations):
775
Foundations of Databases (context) - Abiteboul, Hull et al. - 1995
435
Towards a Theory of Declarative Knowledge (context) - Apt, Blair et al. - 1988
245
Relational Queries Computable in Polynomial Time
- Immerman - 1986
180
Logic Programming and Negation: A Survey
- Apt, Bol - 1994
115
The Alternating Fixpoint of Logic Programs with Negation (context) - Van Gelder - 1989
115
The Alternating Fixpoint of Logic Programs with Negation (context) - Van Gelder - 1993
82
Semantics of Logic Programs: Their Intuitions and Formal Pro..
- Dix - 1995
45
Perspectives in Mathematical Logic (context) - Ebbinghaus, Flum et al. - 1995
20
Complexity and Undecidability Results in Logic Programming (context) - Schlipf - 1995
4
Fixpunktlogiken und Normalformen (context) - Kubierschky - 1995
3
The Structure of Fixed-Point Logics (context) - Grohe - 1994
2
Query Evaluation in Deductive Databases with Alternating Fix..
- Chen - 1995
1
Unfounded Sets and Well-Founded Sematics for General Logic P.. (context) - Van Gelder, Ross et al. - 1988
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://logik.mathematik.uni-freiburg.de/preprints.html): More
On the (infinite) Model Theory of Fixed-Point Logics - Flum (1995)
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Enhancing Fixed Point Logic With Cardinality Quantifiers - Hella, Imhof (1996)
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Fixed Point Logics, Generalized Quantifiers, and Oracles - Imhof (1995)
(Correct)
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