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+<HTML lang=en>
+<HEAD>
+<TITLE> Christian Urban </TITLE>
+<BASE HREF="http://www4.in.tum.de/~urbanc/Cut/">
+</HEAD>
+
+<BODY TEXT="#000000"
+ BGCOLOR="#000080"
+ LINK="#0000EF"
+ VLINK="#51188E"
+ ALINK="#FF0000">
+
+<TABLE WIDTH="100%"
+ COLS="2"
+ BGCOLOR="#000080"
+ BORDER="0"
+ FRAME="none"
+ CELLPADDING="10"
+ CELLSPACING="2"
+ RULES="COLS,ROWS">
+
+<!-- left column -->
+<TR>
+<TD BGCOLOR="#FFFFFF"
+ WIDTH="24%"
+ VALIGN="TOP"
+ ROWSPAN="4">
+
+<B>Links</B><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/index.html">Home</A><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/cutapplet.html">Applet Home</A><BR><BR><p>
+
+<B>Java Versions</B><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/CL.html">CL</A><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT.html">LJT</A><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/ND.html">ND</A><BR><BR>
+
+<B>Plugin Versions</B><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/CL-plugin.html">CL</A><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT-plugin.html">LJT</A><BR>
+<A HREF="http://www4.in.tum.de/~urbanc/Cut/ND-plugin.html">ND</A><BR>
+
+<BR>
+<BR>
+
+<A HREF="http://isabelle.in.tum.de/nominal/">
+<IMG SRC="ribbon.gif" ALT="" style="width: 114px; height: 100px;" align="left">
+</A>
+</TD>
+
+
+<!-- right column -->
+<TD BGCOLOR="#FFFFFF" WIDTH="75%">
+<A NAME="Home"></A>
+<H2>Cut-Elimination in Herbelin's calculus for intuitionistic logic</H2>
+
+Recommended reading for this applet is a paper by Dyckhoff and Urban,
+[<A HREF="http://www-theory.dcs.st-and.ac.uk/~rd/publications/MJES/DyckhoffUrbanWestApp01.rev.ps">ps</A>,
+ <A HREF="http://www-theory.dcs.st-and.ac.uk/~rd/publications/MJES/DyckhoffUrbanWestApp01.rev.pdf">pdf</A>].
+Mayor difference between the standard sequent calculus and Herbelin's sequent calculus
+is that in the cut-free fragment "there are no semantically
+trivial permutations of the inference rules, where by 'semantically trivial' we mean
+'interpreted in NJ as true equations between to (normal) deductions'"
+(from [<A HREF="http://www-theory.dcs.st-and.ac.uk/~rd/publications/SLPaper.corr.ps">ps</A>]).
+</TD>
+</TR>
+
+<TR>
+<TD BGCOLOR="#FFFFFF" WIDTH="75%">
+<B>How to use it?</B>
+If your browser is working correctly, then you will see a window
+with two examples (more added if you suggest some). When pressing on
+one of the buttons, a new window will pop up. What follows
+is a brief explanation of all the features available in this window.
+</TD>
+</TR>
+
+<TR>
+<TD BGCOLOR="#FFFFFF" WIDTH="75%">
+<B>Buttons and Keys</B>
+<UL>
+<LI> The buttons
+ <IMG SRC="http://www4.in.tum.de/~urbanc/Cut/x.jpg">
+ `fire' cuts (not all cuts necessarily have such buttons).
+<LI> If you use the <B>left mouse button</B> for pressing on those buttons,
+ then the new proof will appear inside the window. Whereas if you use
+ the <B>right mouse button</B>, a new window will pop up and
+ the new proof will be displayed in this window. Use the right mouse
+ button if you want to compare a proof and its reduct.
+<LI> The keys <B>Page-up</B> and <B>Page-down</B> zoom in or out of a proof
+ respectively.
+</UL>
+</TD>
+</TR>
+
+<TR>
+<TD BGCOLOR="#FFFFFF" WIDTH="75%">
+<B>Menu Functions</B>
+
+<UL>
+<LI> <B>Zoom in</B> and <B>Zoom out</B> work like Page-up and Page-down,
+ respectively.
+<LI> <B>Unicode</B> If this radiobutton is switched on, logic symbols
+ are displayed in unicode, otherwise in ascii. (This is for the
+ poor guys who have a browser and/or operating system which cannot handle
+ unicode.)
+<LI> <B>Labels</B> As mentioned earlier the sequents are composed of
+ two sets of labelled
+ formulae, not multisets of formulae as in the standard formulation
+ of sequent calculus. Enabling this radiobutton causes that labels are
+ drawn. Use this when you are unsure where implicit contractions are.
+<LI> <B>Compact printing</B> In the paper referred above weakening
+ is done only in axioms. If this radiobutton is switched on (default),
+ then, in order to save space, formulae are weakened as soon as possible.
+</UL>
+</TD>
+</TR>
+
+</TABLE>
+<center>
+<applet archive=MyApplet.zip code="MyApplet.class" width=1 height=1>
+<param name="calculi" value="B">
+<p><blink><FONT COLOR="#800000">
+Applet should appear in a new window, but you don't have Java enabled in your browser.
+</FONT></blink><p>
+</applet>
+
+</center>
+<P><!-- Created: Tue Jul 3 21:01:42 BST 2001 -->
+<!-- hhmts start -->
+Last modified: Sat Mar 3 05:17:09 CET 2007
+<!-- hhmts end -->
+</BODY>
+</HTML>