Logical Theory of Nonmonotonic Inference and Belief Change

Inbunden, Engelska, 2001

AvAlexander Bochman

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This monograph provides logical foundations and a uniform description for nonmonotonic reasoning and belief change. The approach to both these subjects is based on a powerful notion of an epistemic state that subsumes both existing models for nonmonotonic inference and current models for belief change. Many results and constructions in the book are completely new and have not appeared earlier in the literature. The book is primarily intended for experts in Artificial Intelligence and Knowledge Representation who are interested in tools for describing commonsense reasoning tasks as well as in representation capabilities of such tools. It is also of interest to general logicians.

Produktinformation

Utgivningsdatum2001-06-20
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieArtificial Intelligence
Antal sidor436
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540417668

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1 Introduction.- 2 Consequence Relations.- 3 Epistemic States.- 4 Similarity and Decomposition.- 5 Epistemic Entrenchment.- 6 The Basic Inference Relation.- 7 Skeptical Inference Relations.- 8 Defeasible Entailment.- 9 Credulous Nonmonotonic Inference.- 10 Contraction Inference.- 11 Belief Change and Its Problems.- 12 Contractions of Epistemic States.- 13 Merge and Expansion.- 14 Compound and Derived Changes.- References.

From the reviews: "This text provides a broad overview of topics related to non-classical consequence operators, nonmonotonic inference and belief change. The presentation is abstract and precise, and is grounded in a formal setting of logic." (Miroslav Truszezynski, Mathematical Reviews, Issue 2002 b) "The author does not merely present a digest of work that has already entered the mainstream. He gives the subject an individual shape based on concepts that he has himself developed in a series of recent papers. ... In brief, the book is based on a novel and coherent vision, developed according to a definite overall plan to yield non-trivial results ... ." (David Makinson, Zentralblatt MATH, Vol. 977, 2002)