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Total and Partial Well-Founded Datalog Coincide (1997)  (Make Corrections)  (6 citations)
Jörg Flum, Max Kubierschky, Bertram Ludäscher
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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)

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.... 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...

Cited by:   More
Games and total Datalog ... Queries - Flum, Kubierschky, Ludäscher (2000)   (Correct)
Games and Total Datalog-Neg Queries - Flum, Kubierschky, Ludäscher (2000)   (Correct)
Complexity and Expressive Power of Logic Programming - Dantsin, Eiter, Gottlob.. (1997)   (Correct)

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6:   Relational queries computable in polynomial time - Immerman - 1986
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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



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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)   (Correct)
Enhancing Fixed Point Logic With Cardinality Quantifiers - Hella, Imhof (1996)   (Correct)
Fixed Point Logics, Generalized Quantifiers, and Oracles - Imhof (1995)   (Correct)

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