Abstract
In this paper, the relationship between argumentation and closed world reasoning for disjunctive information is studied. In particular, the authors propose a simple and intuitive generalization of the closed world assumption (CWA) for general disjunctive deductive databases (with default negation). This semantics called DCWA, allows a natural argumentation-based interpretation and can beused to represent reasoning for disjunctive information. We compare DCWA with GCWA and prove that DCWA extends Minker’s GCWA to the class of disjunctive databases with default negation. Also we compare our semantics with some related approaches. In addition, the computational complexity of DCWA is investigated.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Reiter R. On the Closed World Databases. InLogic and Data Bases, Gallaire H, Minker J (eds.), Plenum Press, New York, 1978, pp.119–140.
Minker J. On indefinite databases and the closed world assumption. InProc. 6th Conference on Automated Deduction, Loveland D (ed.), New York, LNCS 138, Springer, 1982, pp.292–308.
Wang K. Argumentation-based abduction in disjunctive logic programming.Journal of Logic Programming, 2000, 45(1-3): 105–140.
Brass S, Dix J. Semantics of disjunctive logic programs based on partial evaluation.Journal of Logic Programming, 1990, 40(1): 1–46.
Lobo J, Minker J, Rajasekar A. Foundations of Disjunctive Logic Programming, MIT Press, 1992.
Przymunski T. Static semantics for normal and disjunctive logic programs.Ann. Math. and Artif. Intell., 1995, 14(2-4): 323–357.
Przymunski T. Semantics of disjunctive logic programs and deductive databases. InProceedings of the 2nd International Conference on Deductive and Object-Oriented Databases (DOOD’91), Delobel C, Kifer M, Masunaga Y (eds.), Springer, Germany, 1991, pp.85–107.
Minker J, Zanon G. An extension to linear resolution with selection function.Information Processing Letters, 1982, 14(3): 191–194.
Tarski A. A lattice-theoretic fixpoint theorem and its appliations.Pacific J. Math., 1955, 5: 285–309.
You J, Yuan L, Gobel R. Abductive logic programming with disjunctive logic programs.Journal of Logic Programming, 2000, 44(1-3): 101–127.
Sakama C, Inoue K. Negation in disjunctive logic Programs. InLogic Programming (ICLP’93), Warran D (ed.), Budapest, Hungary, MIT Press, 1993, pp.703–719.
Eiter T, Gottlob G. On the computational cost of disjunctive logic programming: Propositional case.Ann. Math. and Artif. Intell., 1995, 15(3-4): 289–323.
Eiter T, Gottlob G. Propositional circumscription and extended closed world reasoning are H P2 -complete.Theoretical Computer Science, 1993, 114(2): 231–245.
Gelfond M, Lifschitz V. The stable model semantics for logic programming. InLogic Programming: Proc. the Fifth International Conference and Symposium, Kowalski R, Bowen K (eds.), Seattle, MIT Press, 1988, pp.1070–1080.
Przymuski T. Stable semantics for disjunctive programs.New Generation Computing, 1991, 9(3-4): 401–424.
Author information
Authors and Affiliations
Additional information
This work is supported in part by the National Natural Science Foundation of China (No.69883008, No.69773027), and in part by the NKBRSF of China (No.1999032704).
WANG Kewen is an associate professor in the Department of Computer Science, Tsinghua University. His research interests are logic programming, knowledge representation and databases.
ZHOU Lizhu is the head and a professor in the Department of Computer Science, Tsinghua University. His research interests include database systems, Internet data processing, information systems and digital library.
Rights and permissions
About this article
Cite this article
Wang, K., Zhou, L. Closed world assumption for disjunctive reasoning. J. Comput. Sci. & Technol. 16, 381–387 (2001). https://doi.org/10.1007/BF02948986
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02948986