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R-Calculus: A Logic of Belief Revision

R-Calculus: A Logic of Belief Revision

Hardcover

Series: Perspectives in Formal Induction, Revision and Evolution

FictionGeneral ComputersGeneral Mathematics

ISBN10: 9811629439
ISBN13: 9789811629433
Publisher: Springer Nature
Published: Nov 2 2021
Pages: 200
Weight: 1.05
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English

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.

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