Title
On Well-Founded Set-Inductions and Locally Monotone Operators.
Abstract
In the past, compelling arguments in favour of the well-founded semantics for autoepistemic logic have been presented. In this article, we show that for certain classes of theories, this semantics fails to identify the unique intended model. We solve this problem by refining the well-founded semantics. We develop our work in approximation fixpoint theory, an abstract algebraical study of semantics of nonmonotonic logics. As such, our results also apply to logic programming, default logic, Dung’s argumentation frameworks, and abstract dialectical frameworks.
Year
DOI
Venue
2016
10.1145/2963096
ACM Trans. Comput. Log.
Keywords
Field
DocType
Approximation fixpoint theory,autoepistemic logic,lattice operator,logic programming,nonmonotonic reasoning,well-founded semantics
Discrete mathematics,Operational semantics,Autoepistemic logic,Non-monotonic logic,Classical logic,Stable model semantics,Game semantics,Mathematics,Well-founded semantics,Higher-order logic
Journal
Volume
Issue
ISSN
17
4
1529-3785
Citations 
PageRank 
References 
0
0.34
21
Authors
3
Name
Order
Citations
PageRank
Bart Bogaerts18316.49
Joost Vennekens243437.36
Marc Denecker31626106.40