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. .