R-Calculus, V: Description Logics

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. 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 computation.

• Introduction.- Decidable DLs 30.- R-calculus for binary-valued description logic.- R-calculi for Post three-valued DL.- R-calculi for B22-valued DL.- R-calculi for Post L4 -valued DL.- Undecidable DLs.- Introduction.- Role R-calculus for binary-valued DL.- Role R-calculus for Post three-valued DL.- Role R-calculus for B22 -valued DL.- Role R-calculus for Post L4-valued DL.- A Finite injury priority method.

“The book's mathematical rigor is its primary strength. The authors provide detailed proofs, examples, and formalizations, ensuring that each concept is thoroughly validated. Additionally, the inclusion of both decidable and undecidable logics bridges the gap between theory and computation, catering to diverse research interests. The treatment of many-valued logics is innovative, offering fresh insights into their structure and applications.” (Nino Guallart, Mathematical Reviews, May, 2025)