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Titlebook: R-CALCULUS: A Logic of Belief Revision; Wei Li,Yuefei Sui Book 2021 Science Press 2021 Belief revision.AGM postulates.R-calculus.Gentzen d

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书目名称R-CALCULUS: A Logic of Belief Revision
编辑Wei Li,Yuefei Sui
视频video
概述Broadens your understanding on belief revision, and introduces the new models and theories based on R-calculus.Equips readers with theories to handle large and changing data.Inspires theoretic compute
丛书名称Perspectives in Formal Induction, Revision and Evolution
图书封面Titlebook: R-CALCULUS: A Logic of Belief Revision;  Wei Li,Yuefei Sui Book 2021 Science Press 2021 Belief revision.AGM postulates.R-calculus.Gentzen d
描述.This book introduces new models based on R-calculus and theories of belief revision for dealing with large and changing data. It extends R-calculus from first-order logic to propositional logic, description logics, modal logic and logic programming, and from minimal change semantics to subset minimal change, pseudo-subformula minimal change and deduction-based minimal change (the last two minimal changes are newly defined). And it proves soundness and completeness theorems with respect to the minimal changes in these logics. To make R-calculus computable, an approximate R-calculus is given which uses finite injury priority method in recursion theory. Moreover, two applications of R-calculus are given to default theory and semantic inheritance networks..This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. Also it is very useful for all those who are interested in data, digitization and correctnessand consistency of information, in modal logics, non monotonic logics, decidable/undecidable logics, logic programming, description logics, default logics and semantic inheritance networks.  .
出版日期Book 2021
关键词Belief revision; AGM postulates; R-calculus; Gentzen deduction system; Soundness; Completeness; Reachabili
版次1
doihttps://doi.org/10.1007/978-981-16-2944-0
isbn_softcover978-981-16-2946-4
isbn_ebook978-981-16-2944-0Series ISSN 2731-3689 Series E-ISSN 2731-3697
issn_series 2731-3689
copyrightScience Press 2021
The information of publication is updating

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R-Calculi for Propositional Logic,AGM postulates[.,.,.] are a set of requirements a revision operator should satisfy, and R-calculus is a revision operator which satisfies the AGM postulates.
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R-Calculi for Modal Logic,We consider R-calculus for modal logic and give R-calculi . and . which are sound and complete with respect to .-minimal change, .-minimal change and .-minimal change, respectively.
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An Application to Semantic Networks,In Chap. ., we gave R-calculi . for description logic, where . are sound and complete with respect to .-minimal change, .-minimal change and .-minimal change, respectively, where we assume that theories does not contain statements of form
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