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Paraconsistent Declarative Semantics for Extended Logic Programs (2002)  (Make Corrections)  (5 citations)
Ofer Arieli
Annals of Mathematics and Artificial Intelligence



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Abstract: We introduce a fixpoint semantics for logic programs with two kinds of negation:... (Update)

Context of citations to this paper:   More

...well founded semantics, the latter approximating the former. The other line of research was pursued mainly by Avron and Arieli [AA94, AA98, Ari02], who use bilattices for paraconsistent reasoning in logic programming. The above outline of the historical development of...

Cited by:   More
Epistemic Foundation of Stable Model Semantics - Loyer, Straccia (2006)   (Correct)
Any-World Assumptions in Logic Programming - Loyer, Straccia (2005)   (Correct)
Epistemic Foundation of the Well-Founded Semantics over.. - Loyer, Straccia   (Correct)

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1.2:   Repairing Inconsistent Databases: A.. - Arieli, Denecker, ..   (Correct)
0.6:   Circumscriptive Approaches to Paraconsistent Reasoning - Arieli, Denecker (2001)   (Correct)
0.6:   A Survey of Paraconsistent Semantics for Logic Programs - Damásio, Pereira (1998)   (Correct)

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0.3:   Modeling Paraconsistent Reasoning by Classical Logic - Arieli, Denecker   (Correct)
0.2:   Coherent Integration of Databases by Abductive Logic.. - Arieli, Denecker, al. (2004)   (Correct)
0.2:   A Model-Theoretic Approach for Recovering Consistent Data from .. - Arieli, Avron (1999)   (Correct)

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5:   The Well-Founded Semantics for General Logic Programs - Van Gelder, Ross et al. - 1991
5:   Fixpoint semantics for logic programming -- a survey - Fitting - 1999
5:   The family of stable models - Fitting - 1993

BibTeX entry:   (Update)

Ofer Arieli. Paraconsistent declarative semantics for extended logic programs. Annals of Mathematics and Arti cial Intelligence, 36(4):381-417, 2002. http://citeseer.ist.psu.edu/arieli02paraconsistent.html   More

@article{ arieli02paraconsistent,
  author = "O. Arieli",
  title = "Paraconsistent declarative semantics for extended logic programs",
  journal = "Annals of Mathematics and Artificial Intelligence",   volume = "36",
  number = "4",
  pages = "381--417",
  year = "2002",
  url = "citeseer.ist.psu.edu/arieli02paraconsistent.html" }
Citations (may not include all citations):
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858   The stable model semantics for logic programming - Gelfond, Lifschitz - 1988  DBLP
759   Negation as failure (context) - Clark - 1978  ACM   DBLP
343   Introduction to metamathematics (context) - Kleene - 1950
270   Logic programs with classical negation (context) - Gelfond, Lifschitz - 1990  ACM   DBLP
234   The well-founded semantics for general logic programs - Van Gelder, Ross et al. - 1991  ACM   DBLP
183   A useful four-valued logic (context) - Belnap - 1977
174   Kripke-Kleene semantics for logic programs (context) - Fitting - 1985
162   The semantics of predicate logic as a programming language (context) - van-Emden, Kowalski - 1976  ACM   DBLP
149   Logic programming and knowledge representation - Baral, Gelfond - 1994  ACM   DBLP
120   Bilattices and the semantics of logic programming - Fitting - 1991  ACM   DBLP
110   Well-founded semantics for logic programs with explicit nega.. (context) - Pereira, Alferes - 1992
99   Multi-valued logics: A uniform approach to reasoning in arti.. (context) - Ginsberg - 1988
98   Extended stable semantics for normal and disjunctive program.. (context) - Przymusinski - 1990  ACM   DBLP
95   Possibilistic logic - Dubios, Lang et al. - 1994  ACM
94   General patterns in nonmonotonic reasoning (context) - Makinson - 1994  ACM
81   Logic programs with exceptions (context) - Kowalski, Sadri - 1990  ACM   DBLP
79   Simple consequence relations - Avron - 1991  ACM   DBLP
64   Dynamic updates of non-monotonic knowledge base - Alferes, Leite et al. - 2000
48   Nonmonotonic reasoning with well founded semantics - Pereira, Apar et al. - 1991  DBLP
45   Semantic issues in deductive databases and logic programs - Przymusinska, Przymusinski - 1990
38   Weakly perfect model semantics for logic programs (context) - Przymusinska, Przymusinski - 1988  DBLP
38   The family of stable models - Fitting - 1993  DBLP
36   Reasoning with logical bilattices - Arieli, Avron - 1996  DBLP
33   Minimally Inconsistent LP (context) - Priest - 1991
30   How computer should think (context) - Belnap - 1977
26   Multi-valued logics (context) - Ginsberg - 1987  ACM   DBLP
24   How to infer from inconsistent beliefs without revising - Benferhat, Dubois et al. - 1995
24   Bilattices in logic programming - Fitting - 1990
23   Kleene's three-valued logics and their children (context) - Fitting - 1994
18   Arti cial Intelligence (context) - Kraus, Lehmann et al. - 1990
9   On closed word data bases (context) - Reiter - 1978
9   Lattice-theoretic xpoint theorem and its applications (context) - Tarski - 1955
6   An argumentative framework for reasoning with inconsistent a.. (context) - Garc, Simari et al. - 1998
6   Mathematical Structures in Computer Science (context) - Avron, of et al. - 1996
5   Arti cial Intelligence (context) - Arieli, Avron et al. - 1998
5   Evidential bilattice logic and lexical inferences - Schoter - 1996
5   Logic and Computation (context) - Fitting, logic - 1990  ACM
4   Partial models of extended generalized logic programs - Alferes, Herre et al. - 2000  ACM   DBLP
4   The well-founded semantics is the principle of inductive de .. (context) - Denecker - 1998
4   Bilattices and the semantics of natural language questions - Nelken, Francez - 1998
4   Combining knowledge with many-valued logics (context) - Messing - 1997  ACM   DBLP
3   the theory of inconsistent formal systems (context) - da-Costa - 1974
3   Four-valued logics for reasoning with uncertainty in priorit.. - Arieli - 1999
2   A model theory for paraconsistent logic programming (context) - Dam, Pereira - 1995  ACM   DBLP
2   Coherent composition of distributed knowledge-bases through .. - Arieli, Van Nu et al. - 2001  ACM   DBLP
1   An algorithmic approach to recover inconsistent knowledge-ba.. - Arieli - 1919  ACM   DBLP
1   Lecture Notes in Arti cial intelligence (context) - Wagner - 1994

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