R-Calculus, IV: Propositional 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.- R-calculus for simplified propositional logics.- R-calculi for tableau/Gentzen deduction systems.- R-calculi RQ1Q2/RQ1Q2.- R-calculi RQ1iQ2j/RQ1iQ2j.- R-Calculi: RY1Q1iY2Q2j/RY1Q1iY2Q2j.- R-calculi for supersequents.- R-calculi for propositional logic.

“Propositional logic serves as the foundation for the development of first-order logic and modal logic. … The authors explore multiple systems of deductive calculus for propositional logic in this book. … prospective readers should note the density of this book. While it maintains the thoroughness and depth characteristic of previous volumes, the presentation of findings is notably concise.” (Nino Guallart, Mathematical Reviews, January, 2025)