R-CALCULUS: A Logic of Belief Revision

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.