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zbMATH Open
Article . 1997
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Journal of Logic and Computation
Article . 1997 . Peer-reviewed
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DBLP
Article . 1997
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Ground Nonmonotonic Modal Logics

Ground nonmonotonic modal logics
Authors: Francesco M. Donini; Daniele Nardi; Riccardo Rosati 0001;

Ground Nonmonotonic Modal Logics

Abstract

The authors develop a theory of ground logics which are nonmonotonic formalisms in the spirit of the McDermott--Doyle nonmonotonic modal logics. The ground logics are intended to formalise reasoning of rational agents who are allowed to make nonmonotonic assumptions only on information concerning the real world and expressed by nonmodal formulas. Reasoning in the ground logics is \(\Pi_3^p\)-hard, i.e., it is, in general, computationally harder than reasoning in the nonmonotonic modal logics. On the other hand, the ground logics have several epistemically interesting properties, e.g., they naturally capture justification-free defaults. Apart from the computational complexity of reasoning, semantical questions are addressed as well. The ground logics are characterized in terms of a Shoham-style preference semantics [see also \textit{D. Nardi} and \textit{R. Rosati}, Lect. Notes Comput. Sci. 990, 225-236 (1995)].

Country
Italy
Keywords

Logic in artificial intelligence, computational complexity, Knowledge representation, knowledge representation, preference semantics, nonmonotonic logic, Other nonclassical logic, Modal logic (including the logic of norms), nonmonotonic reasoning, modal logic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Top 10%
bronze