chapter Sequents session Sequents = Pure + description {* Author: Lawrence C Paulson, Cambridge University Computer Laboratory Copyright 1991 University of Cambridge Various Sequent Calculi for Classical, Linear, and Modal Logic. Much of the work in Modal logic was done by Martin Coen. Thanks to Rajeev Gore' for supplying the inference system for S43. Sara Kalvala reorganized the files and supplied Linear Logic. Jacob Frost provided some improvements to the syntax of sequents. Useful references on sequent calculi: Steve Reeves and Michael Clarke, Logic for Computer Science (Addison-Wesley, 1990) G. Takeuti, Proof Theory (North Holland, 1987) Useful references on Modal Logics: Melvin C Fitting, Proof Methods for Modal and Intuitionistic Logics (Reidel, 1983) Lincoln A. Wallen, Automated Deduction in Nonclassical Logics (MIT Press, 1990) Useful references on Linear Logic: A. S. Troelstra, Lectures on Linear Logic (CSLI, 1992) S. Kalvala and V. de Paiva, Linear Logic in Isabelle (in TR 379, University of Cambridge Computer Lab, 1995, ed L. Paulson) *} options [document = false] theories LK ILL ILL_predlog Washing Modal0 T S4 S43 session "Sequents-LK" in LK = Sequents + description {* Author: Lawrence C Paulson, Cambridge University Computer Laboratory Copyright 1992 University of Cambridge Examples for Classical Logic. *} options [document = false] theories Propositional Quantifiers Hard_Quantifiers Nat