Abstract
An extension of resolution for skeptical stable model semantics is introduced. Unlike previous approaches, our calculus often needs to consider only a strict subset of the program rules. Moreover, we characterize a large class of programs whose derivations may proceed in a thoroughly goal-directed way. Some inferences, which depend on non-ground negative goals, can be drawn without resorting to negation-as-failure; as a consequence, many goals which flounder in the standard setting, have a successful skeptical derivation. The paper contains a preliminary study of some interesting derivation strategies.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
K.R. Apt, R.W. Bol, J.W. Klop. On the safe termination of Prolog programs. In Levi and Martelli (eds.), Proc, 6th ICLP, 353–368, Mit Press, 1989.
C. Bell, A. Nerode, R. Ng, V.S. Subrahmanian. Implementing stable semantics by linear programming. In Proc. of LPNMR'93, pp.23–42, MIT Press, 1993.
P.A. Bonatti, N. Olivetti. A sequent calculus for skeptical default logic. In Proc.of TABLEAUX'97, LNAI, Springer Verlag, to appear (1997).
W. Chen, D.S. Warren. Tabled evaluation with delaying for general logic programs. JACM, 43(1):20–74, 1996.
W. Chen, D.S. Warren. Computation of stable models and its integration with logical query processing. IEEE TKDE, 8(5):742–757, 1996.
M. Gelfond, V. Lifschitz. The stable model semantics for logic programming. In Proc. of the 5th ICLP, pp.1070–1080, MIT Press, 1988.
G. Gottlob, S. Marcus, A. Nerode, G. Salzer, V.S. Subrahmanian. A non-ground realization of the stable and well-founded semantics. TCS, 166:221–262, 1996.
V. Lifschitz, H. Turner. Splitting a logic program. In Proc. ICLP'94, pp.23–37, MIT Press, 1994.
J.W. Lloyd. Foundations of Logic Programming, Springer-Verlag, 1984.
W. Marek, M. Truszczyński. Computing Intersection of Autoepistemic Expansions. In Proc. LPNMR'91, pp.37–52, MIT Press, 1991.
I.Niemela, P. Simons. Efficient implementation of the well-founded and stable model semantics. In Proc. of JICSLP 96, pp.289–303, MIT Press, 1996.
T. Schaub, M. Thielscher. Skeptical query answering in constrained default logic. In Proc. of the Conference on Formal and Applied Practical Reasoning (FAPR '96), 1996.
V.S. Subrahmanian, D. Nau, C. Vago. WFS+Branch and bound=Stable models. IEEE TKDE, 7(3):362–377, 1995.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bonatti, P.A. (1997). Resolution for skeptical stable semantics. In: Dix, J., Furbach, U., Nerode, A. (eds) Logic Programming And Nonmonotonic Reasoning. LPNMR 1997. Lecture Notes in Computer Science, vol 1265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63255-7_13
Download citation
DOI: https://doi.org/10.1007/3-540-63255-7_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63255-9
Online ISBN: 978-3-540-69249-2
eBook Packages: Springer Book Archive