src/Sequents/README.html
author paulson
Wed, 09 Oct 1996 13:32:33 +0200
changeset 2073 fb0655539d05
child 3279 815ef5848324
permissions -rw-r--r--
New unified treatment of sequent calculi by Sara Kalvala combines the old LK and Modal with the new ILL (Int. Linear Logic)

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

This directory contains the Standard ML sources of the Isabelle system for
various Sequent, Linear, and Modal Logic.  Important files include

<DL>
<DT>ROOT.ML
<DD>loads all source files.  Enter an ML image containing Pure
Isabelle and type:    use "ROOT.ML";

<DT>Makefile
<DD>compiles the files under Poly/ML or SML of New Jersey


<DT>ex
<DD>subdirectory containing examples.  Files are arranged in
subdirectories. To execute all of them, enter an ML image containing
Sequents and type 
<PRE>
	use "ex/ROOT.ML";
</PRE>
To execute examples in a particular logic (LK/ILL/Modal) use the
appropriate command:
<PRE>
	use "ex/LK/ROOT.ML";
	use "ex/ILL/ROOT.ML";
	use "ex/Modal/ROOT.ML";
</PRE>
</DL>

<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>
</UL>
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