R-Calculus, II: Many-Valued Logics
Li, Wei.
R-Calculus, II: Many-Valued Logics [electronic resource] / by Wei Li, Yuefei Sui. - 1st ed. 2022. - XIII, 271 p. 6 illus., 1 illus. in color. online resource. - Perspectives in Formal Induction, Revision and Evolution, 2731-3697 . - Perspectives in Formal Induction, Revision and Evolution, .
Introduction -- R-Calculus For Propositional Logic -- R-Calculus For L3-Valued Propositional Logic -- R-Calculus For L3-Valued PL,II -- R-Calculus For B22-Valued PL -- R-Calculus For B22-Valued PL,II -- Complementary R-Calculus For PL -- Multisequents and Hypersequents -- Product of Two R-Calculi -- Sum of Two R-Calculi.
This second volume of the book series shows R-calculus is a combination of one monotonic tableau proof system and one non-monotonic one. The R-calculus is a Gentzen-type deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. It discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics. 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. .
9789811692949
10.1007/978-981-16-9294-9 doi
Machine theory.
Mathematical logic.
Logic programming.
Mathematical models.
Big data.
Formal Languages and Automata Theory.
Mathematical Logic and Foundations.
Logic in AI.
Mathematical Modeling and Industrial Mathematics.
Big Data.
QA267-268.5
005.131
R-Calculus, II: Many-Valued Logics [electronic resource] / by Wei Li, Yuefei Sui. - 1st ed. 2022. - XIII, 271 p. 6 illus., 1 illus. in color. online resource. - Perspectives in Formal Induction, Revision and Evolution, 2731-3697 . - Perspectives in Formal Induction, Revision and Evolution, .
Introduction -- R-Calculus For Propositional Logic -- R-Calculus For L3-Valued Propositional Logic -- R-Calculus For L3-Valued PL,II -- R-Calculus For B22-Valued PL -- R-Calculus For B22-Valued PL,II -- Complementary R-Calculus For PL -- Multisequents and Hypersequents -- Product of Two R-Calculi -- Sum of Two R-Calculi.
This second volume of the book series shows R-calculus is a combination of one monotonic tableau proof system and one non-monotonic one. The R-calculus is a Gentzen-type deduction system which is non-monotonic, and is a concrete belief revision operator which is proved to satisfy the AGM postulates and the DP postulates. It discusses the algebraical and logical properties of tableau proof systems and R-calculi in many-valued logics. 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. .
9789811692949
10.1007/978-981-16-9294-9 doi
Machine theory.
Mathematical logic.
Logic programming.
Mathematical models.
Big data.
Formal Languages and Automata Theory.
Mathematical Logic and Foundations.
Logic in AI.
Mathematical Modeling and Industrial Mathematics.
Big Data.
QA267-268.5
005.131