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» Nonmonotonic Logics and Their Algebraic Foundations
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CSL
2006
Springer
13 years 8 months ago
Nonmonotonic Logics and Their Algebraic Foundations
The goal of this note is to provide a background and references for the invited lecture presented at Computer Science Logic 2006. We briefly discuss motivations that led to the eme...
Miroslaw Truszczynski
LPNMR
2005
Springer
13 years 10 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
AMAI
2006
Springer
13 years 4 months ago
Strong and uniform equivalence of nonmonotonic theories - an algebraic approach
We show that the concepts of strong and uniform equivalence of logic programs eneralized to an abstract algebraic setting of operators on complete lattices. Our results imply char...
Miroslaw Truszczynski
LPNMR
2005
Springer
13 years 10 months ago
Nonmonotonic Reasoning in FLORA-2
FLORA-2 is an advanced knowledge representation system that integrates F-logic, HiLog, and Transaction Logic. In this paper we give an overview of the theoretical foundations of th...
Michael Kifer
POPL
2012
ACM
12 years 11 days ago
Algebraic foundations for effect-dependent optimisations
We present a general theory of Gifford-style type and effect annotations, where effect annotations are sets of effects. Generality is achieved by recourse to the theory of algebra...
Ohad Kammar, Gordon D. Plotkin