R-Calculus, III: Post Three-Valued Logic
Li, Wei.
R-Calculus, III: Post Three-Valued Logic [electronic resource] / by Wei Li, Yuefei Sui. - 1st ed. 2022. - XII, 273 p. 3 illus., 1 illus. in color. online resource. - Perspectives in Formal Induction, Revision and Evolution, 2731-3697 . - Perspectives in Formal Induction, Revision and Evolution, .
Introduction -- Many-Placed Sequents -- Modalized Three-Valued Logics -- Post three-valued logic -- R-Calculi for Post Three-valued logic -- Post Three-valued description logic -- R-calculi for Post three-valued description logic -- R-calculi for corner multisequents -- General multisequents -- R-calculi for general multisequents.
This third volume of the book series shows R-calculus is a Gentzen-typed 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. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. .
9789811942709
10.1007/978-981-19-4270-9 doi
Machine theory.
Mathematical logic.
Logic programming.
Mathematical models.
Computer science--Mathematics.
Formal Languages and Automata Theory.
Mathematical Logic and Foundations.
Logic in AI.
Mathematical Modeling and Industrial Mathematics.
Mathematics of Computing.
QA267-268.5
005.131
R-Calculus, III: Post Three-Valued Logic [electronic resource] / by Wei Li, Yuefei Sui. - 1st ed. 2022. - XII, 273 p. 3 illus., 1 illus. in color. online resource. - Perspectives in Formal Induction, Revision and Evolution, 2731-3697 . - Perspectives in Formal Induction, Revision and Evolution, .
Introduction -- Many-Placed Sequents -- Modalized Three-Valued Logics -- Post three-valued logic -- R-Calculi for Post Three-valued logic -- Post Three-valued description logic -- R-calculi for Post three-valued description logic -- R-calculi for corner multisequents -- General multisequents -- R-calculi for general multisequents.
This third volume of the book series shows R-calculus is a Gentzen-typed 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. In this book, R-calculus is taken as Tableau-based/sequent-based/multisequent-based to preserve the satisfiability of the Theory/sequent/multisequent to revise, or sequent-based, to preserve the satisfiability of the sequent to revise. The R-calculi for Post and three-valued logic is given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic. .
9789811942709
10.1007/978-981-19-4270-9 doi
Machine theory.
Mathematical logic.
Logic programming.
Mathematical models.
Computer science--Mathematics.
Formal Languages and Automata Theory.
Mathematical Logic and Foundations.
Logic in AI.
Mathematical Modeling and Industrial Mathematics.
Mathematics of Computing.
QA267-268.5
005.131