src/Sequents/README.html
author paulson
Mon, 06 Aug 2001 12:42:43 +0200
changeset 11461 ffeac9aa1967
parent 5383 74c2da44d144
child 15283 f21466450330
permissions -rw-r--r--
removed an unsuitable default simprule

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<H2>Sequents: Various Sequent Calculi</H2>

This directory contains the ML sources of the Isabelle system for
various Sequent, Linear, and Modal Logic.<p>

The subdirectories <tt>ex</tt>, <tt>ex/LK</tt>, <tt>ex/ILL</tt>,
<tt>ex/Modal</tt> contain some examples.<p>

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.

<P>Useful references on sequent calculi:

<UL>
<LI>Steve Reeves and Michael Clarke,<BR>
    Logic for Computer Science (Addison-Wesley, 1990)
<LI>G. Takeuti,<BR>
    Proof Theory (North Holland, 1987)
</UL>

Useful references on Modal Logics:
<UL>
<LI>Melvin C Fitting,<BR>
    Proof Methods for Modal and Intuitionistic Logics (Reidel, 1983)

<LI>Lincoln A. Wallen,<BR>
    Automated Deduction in Nonclassical Logics (MIT Press, 1990)
</UL>

Useful references on Linear Logic:
<UL>
<LI>A. S. Troelstra<BR>
    Lectures on Linear Logic (CSLI, 1992)

<LI>S. Kalvala and V. de Paiva<BR>
    Linear Logic in Isabelle (in TR 379, University of Cambridge
				Computer Lab, 1995, ed L. Paulson)
</UL>

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