R-Calculus, III: Post Three-Valued Logic

Wei Li, is a Professor in the School of Computer Science and Engineering, Beihang University, Beijing, China and is a member of the Chinese Academy of Sciences. Prof. Li is mostly engaged in the applied research of Computer Software and Theory, and the Internet, including programming languages, software development, artificial intelligence, and integrated circuit design.Yuefei Sui, is a Professor in the Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China. His main interests include knowledge representation, applied logic and the theory of computability.

• 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.

“The book offers a systematic and comprehensive approach to addressing three-valued logic within the framework of Post's logic. … Potential readers should be aware of the book's density. While it offers comprehensive coverage and depth, the presentation of results is notably succinct.” (Nino Guallart, Mathematical Reviews, January, 2025)“The book is well-structured and provides a detailed exploration of the subject matter. It appears to be a valuable resource for those interested in the field of logic and belief revision.” (Albert Hoogewijs, zbMATH 1525.03001, 2024)