Abstract
Much work has been done on extending the well-founded semantics to general disjunctive logic programs and various approaches have been proposed. However, no consensus has been reached about which semantics is the most intended. In this paper we look at disjunctive well-founded reasoning from different angles. We show that there is an intuitive form of the well-founded reasoning in disjunctive logic programming which can be equivalently characterized by several different approaches including program transformations, argumentation, unfounded sets (and resolution-like procedure). We also provide a bottomup procedure for this semantics. The significance of this work is not only in clarifying the relationship among different approaches, but also in providing novel arguments in favor of our semantics.
On leave from Tsinghua University, Beijing.
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S. Brass, J. Dix. Characterizations of the DisjunctiveWell-founded Semantics: Confluent Calculi and Iterated GCWA. Journal of Automated Reasoning, 20(1):143–165, 1998. 133
S. Brass, J. Dix. Semantics of disjunctive logic programs based on partial evaluation. Journal of Logic programming, 38(3):167–312, 1999. 133, 135, 138, 139, 140, 141, 143, 145
S. Brass, J. Dix, I. Niemelä, T. Przymusinski. On the equivalence of the Static and Disjunctive Well-founded Semantics and its computation. Theoretical Computer Science, 258(1-2): 523–553, 2001. 134, 140
F. Bry. Negation in logic programming: A formalization in constructive logic. In: D. Karagiannis ed. Information Systems and Artificial Intelligence: Integration Aspects (LNCS 474), Springer, pages 30–46, 1990. 141
T. Eiter, N. Leone and D. Sacca. On the partial semantics for disjunctive deductive databases. Annals of Math. and AI., 19(1-2): 59–96, 1997. 134, 143, 144, 145
M. Gelfond, V. Lifschitz. The stable model semantics for logic programming. In: Proceedings of the 5th Symposium on Logic Programming, MIT Press, pages 1070–1080, 1988. 133, 136
N. Leone, P. Rullo and F. Scarcello. Disjunctive stable models: unfounded sets, fixpoint semantics, and computation. Information and Computation, 135(2): 69–112, 1997. 134, 143, 144, 145
J. Lobo, J. Minker and A. Rajasekar. Foundations of Disjunctive Logic Programming. MIT Press, 1992. 133, 134
J. Minker. On indefinite databases and the closed world assumption. LNCS 138, pages 292–308, 1982. 134, 138, 145
T. Przymusinski. Static semantics of logic programs. Annals of Math. and AI., 14: 323–357, 1995. 133
K. Ross. A procedural semantics for well-founded negation in logic programs. Journal of Logic programming, 13(1): 1–22, 1992. 134
A. Van Gelder, K. A. Ross and J. Schlipf. The well-founded semantics for general logic programs. J. ACM, 38(3): 620–650, 1991. 133, 134, 143
K. Wang. Argumentation-based abduction in disjunctive logic programming. Journal of Logic programming, 45(1-3): 105–141, 2000. 133, 134, 136, 140, 145
K. Wang. A top-down procedure for disjunctive well-founded semantics. In: Proceedings of the International Joint Conference on Automated Reasoning (IJCAR’ 01), Springer, 2001. 134, 145
J. You, L. Yuan and R. Goebel. An abductive approach to disjunctive logic programming. Journal of Logic programming, 44(1-3): 101–127, 2000. 136
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Wang, K. (2001). A Comparative Study of Well-Founded Semantics for Disjunctive Logic Programs. In: Eiter, T., Faber, W., Truszczyński, M.l. (eds) Logic Programming and Nonmotonic Reasoning. LPNMR 2001. Lecture Notes in Computer Science(), vol 2173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45402-0_10
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DOI: https://doi.org/10.1007/3-540-45402-0_10
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