Title
Translating first-order theories into logic programs
Abstract
This paper focuses on computing first-order theories under either stable model semantics or circumscription. A reduction from first-order theories to logic programs under stable model semantics over finite structures is proposed, and an embedding of circumscription into stable model semantics is also given. Having such reduction and embedding, reasoning problems represented by first-order theories under these two semantics can then be handled by using existing answer set solvers. The effectiveness of this approach in computing hard problems beyond NP is demonstrated by some experiments.
Year
DOI
Venue
2011
10.5591/978-1-57735-516-8/IJCAI11-192
IJCAI
Keywords
Field
DocType
existing answer set solvers,hard problem,stable model semantics,first-order theory,reasoning problem,finite structure,logic program
Discrete mathematics,Embedding,Computer science,First order,Circumscription,Stable model semantics,Well-founded semantics,Semantics,Semantics of logic
Conference
Citations 
PageRank 
References 
3
0.38
12
Authors
4
Name
Order
Citations
PageRank
Heng Zhang12714.42
Yan Zhang2777123.70
Ying Mingsheng385280.04
Yi Zhou416126.62