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R (Computer program language). --- Calculus. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- Software. --- Mathematical Concepts. --- Concept, Mathematical --- Concepts, Mathematical --- Mathematical Concept --- Computer Applications Software --- Computer Programs and Programming --- Computer Software Applications --- Computer Programs --- Computer Software --- Software Engineering --- Software Tools --- Application, Computer Software --- Applications Software, Computer --- Applications Softwares, Computer --- Applications, Computer Software --- Computer Applications Softwares --- Computer Program --- Computer Software Application --- Engineering, Software --- Program, Computer --- Programs, Computer --- Software Application, Computer --- Software Applications, Computer --- Software Tool --- Software, Computer --- Software, Computer Applications --- Softwares, Computer Applications --- Tool, Software --- Tools, Software --- Search Engine --- GNU-S (Computer program language) --- Domain-specific programming languages

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Calculus. --- Computer logic. --- Proof theory. --- Logic, Symbolic and mathematical --- Computer science logic --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal

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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 correctness and consistency of information, in modal logics, non monotonic logics, decidable/undecidable logics, logic programming, description logics, default logics and semantic inheritance networks. .

Mathematical logic --- Mathematics --- Planning (firm) --- Information systems --- mathematische modellen --- wiskunde --- gegevensanalyse --- logica

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This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision. It gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming, ⇝-propositional logic, semantic networks, and three-valued logic, etc.. Applications of R-calculus in logic of supersequents are also given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. .

Mathematical logic --- Mathematics --- Planning (firm) --- Computer science --- Computer. Automation --- informatica --- mathematische modellen --- wiskunde --- logica

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This fifth volume of the book series consists of two parts, decidable description logics and undecidable description logics. It gives the R-calculi for description logics. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. .

Machine theory. --- Mathematical logic. --- Logic programming. --- Mathematical models. --- Computer science --- Big data. --- Formal Languages and Automata Theory. --- Mathematical Logic and Foundations. --- Logic in AI. --- Mathematical Modeling and Industrial Mathematics. --- Mathematics of Computing. --- Big Data. --- Mathematics. --- Calculus. --- Description logics.