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)
"
theories
LK
ILL
ILL_predlog
Washing
Modal0
T
S4
S43
(* Examples for Classical Logic *)
"LK/Propositional"
"LK/Quantifiers"
"LK/Hard_Quantifiers"
"LK/Nat"