Propositional semantics for disjunctive logic programs
@article{BenEliyahuZohary2005PropositionalSF, title={Propositional semantics for disjunctive logic programs}, author={R. Ben-Eliyahu-Zohary and R. Dechter}, journal={Annals of Mathematics and Artificial Intelligence}, year={2005}, volume={12}, pages={53-87} }
In this paper we study the properties of the class of head-cycle-free extended disjunctive logic programs (HEDLPs), which includes, as a special case, all nondisjunctive extended logic programs. We show that any propositional HEDLP can be mapped in polynomial time into a propositional theory such that each model of the latter corresponds to an answer set, as defined by stable model semantics, of the former. Using this mapping, we show that many queries over HEDLPs can be determined by solving… CONTINUE READING
216 Citations
On the computational cost of disjunctive logic programming: Propositional case
- Mathematics, Computer Science
- Annals of Mathematics and Artificial Intelligence
- 2005
- 293
- Highly Influenced
Characterising equilibrium logic and nested logic programs: Reductions and complexity,
- Computer Science
- Theory Pract. Log. Program.
- 2009
- 25
- PDF
Expressiveness of Logic Programs under the General Stable Model Semantics
- Mathematics, Computer Science
- ACM Trans. Comput. Log.
- 2017
- PDF
Eliminating Disjunction from Propositional Logic Programs under Stable Model Preservation
- Mathematics, Computer Science
- Answer Set Programming
- 2003
- 2
- PDF
Complexity Results for Disjunctive Logic Programming and Application to Nonmonotonic Logics
- Computer Science
- ILPS
- 1993
- 76
- Highly Influenced
Complexity Results for Checking Equivalence of Stratified Logic Programs
- Mathematics, Computer Science
- IJCAI
- 2007
- 11
- PDF
Uniform Equivalence of Logic Programs under the Stable Model Semantics
- Computer Science
- ICLP
- 2003
- 111
- PDF
References
SHOWING 1-10 OF 40 REFERENCES
Complexity Results for Disjunctive Logic Programming and Application to Nonmonotonic Logics
- Computer Science
- ILPS
- 1993
- 76
- Highly Influential
A Fixpoint Semantics for Disjunctive Logic Programs
- Computer Science, Mathematics
- J. Log. Program.
- 1990
- 122
- PDF
On the declarative and procedural semantics of logic programs
- Computer Science
- Journal of Automated Reasoning
- 2004
- 70
Inference in inheritance networks using propositional logic and constraint networks techniques
- Computer Science
- 1992
- 1
Towards a Theory of Declarative Knowledge
- Mathematics, Computer Science
- Foundations of Deductive Databases and Logic Programming.
- 1988
- 1,389
- PDF
It's Not My Default: The Complexity of Membership Problems in Restricted Propositional Default Logics
- Computer Science
- AAAI
- 1990
- 60
- PDF