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<HTML lang=en>
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<HEAD>
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<TITLE> Christian Urban </TITLE>
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<BASE HREF="http://www4.in.tum.de/~urbanc/Cut/">
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</HEAD>
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<BODY TEXT="#000000"
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BGCOLOR="#000080"
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LINK="#0000EF"
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VLINK="#51188E"
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ALINK="#FF0000">
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<TABLE WIDTH="100%"
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COLS="2"
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BGCOLOR="#000080"
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BORDER="0"
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FRAME="none"
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CELLPADDING="10"
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CELLSPACING="2"
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RULES="COLS,ROWS">
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<!-- left column -->
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<TR>
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<TD BGCOLOR="#FFFFFF"
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WIDTH="24%"
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VALIGN="TOP"
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ROWSPAN="4">
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<B>Links</B><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/index.html">Home</A><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/cutapplet.html">Applet Home</A><BR><BR><p>
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<B>Java Versions</B><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/CL.html">CL</A><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT.html">LJT</A><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/ND.html">ND</A><BR><BR>
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<B>Plugin Versions</B><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/CL-plugin.html">CL</A><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT-plugin.html">LJT</A><BR>
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<A HREF="http://www4.in.tum.de/~urbanc/Cut/ND-plugin.html">ND</A><BR>
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<BR>
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<BR>
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<A HREF="http://isabelle.in.tum.de/nominal/">
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<IMG SRC="ribbon.gif" ALT="" style="width: 114px; height: 100px;" align="left">
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</A>
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</TD>
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<!-- right column -->
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<A NAME="Home"></A>
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<H2>Normalisation in intuitionistic natural deduction</H2>
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This applet implements the bog-standard version of intuitionistic
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natural deduction. If you are familiar with any textbook on proof
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theory (e.g. this <A HREF="http://www.amazon.co.uk/exec/obidos/ASIN/0521572231/ref=ed_ra_of_dp/026-0727529-0066055">one</A>), then most things will look very familiar to you.
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Note that natural deduction is here implemented in `sequent style'.
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<B>How to use it?</B>
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If your browser is working correctly, then you will see a window
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with two examples (more added if I have time or you suggest one).
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When you press on one of the buttons, a new window will pop up. What
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follows is a brief explanation of all the features available in this window.
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<B>Buttons and Keys</B>
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<UL>
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<LI> The buttons
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<IMG SRC="http://www4.in.tum.de/~urbanc/Cut/x.jpg">
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`fire' beta-redexes (nothing surprising here).
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<LI> If you use the <B>left mouse button</B> for pressing on those buttons,
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then the new proof will appear inside the window. Whereas if you use
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the <B>right mouse button</B>, a new window will pop up and
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the new proof will be displayed in this window. Use the right mouse
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button if you want to compare a proof and its reduct.
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<LI> The keys <B>Page-up</B> and <B>Page-down</B> zoom in or out of a proof
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respectively.
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</UL>
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<B>Menu Functions</B>
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<UL>
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<LI> <B>Zoom in</B> and <B>Zoom out</B> work like Page-up and Page-down,
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respectively.
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<LI> <B>Unicode</B> If this radiobutton is switched on, logic symbols
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are displayed in unicode, otherwise in ascii. (This is for the
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poor guys who have a browser and/or operating system which cannot handle
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unicode.)
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<LI> <B>Labels</B> As mentioned earlier the sequents are composed of
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two sets of labelled
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formulae, not multisets of formulae as in the standard formulation
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of sequent calculus. Enabling this radiobutton causes that labels are
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drawn. Use this when you are unsure where implicit contractions are.
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<LI> <B>Compact printing</B> Usually formulae are weakened only in axiom.
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If this radiobutton is switched on (default), then, in order to save space,
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formulae are weakened as soon as possible.
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</UL>
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</TD>
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</TR>
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</TABLE>
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<center>
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<!--"CONVERTED_APPLET"-->
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<!-- HTML CONVERTER -->
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<OBJECT classid="clsid:CAFEEFAC-0013-0001-0000-ABCDEFFEDCBA"
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WIDTH = 1 HEIGHT = 1 codebase="http://java.sun.com/products/plugin/1.3.1/jinstall-131-win32.cab#Version=1,3,1,0">
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<PARAM NAME = CODE VALUE = "MyApplet.class" >
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<PARAM NAME = ARCHIVE VALUE = MyApplet.zip >
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<PARAM NAME="type" VALUE="application/x-java-applet;jpi-version=1.3.1">
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<PARAM NAME="scriptable" VALUE="false">
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<PARAM NAME = "calculi" VALUE ="C">
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<COMMENT>
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<EMBED type="application/x-java-applet;jpi-version=1.3.1" CODE = "MyApplet.class" ARCHIVE = MyApplet.zip WIDTH = 1 HEIGHT = 1 calculi = "C" scriptable=false pluginspage="http://java.sun.com/products/plugin/1.3.1/plugin-install.html"><NOEMBED>
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<p><blink><FONT COLOR="#800000">
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Applet should appear in a new window, but you don't have Java enabled in your browser.
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</FONT></blink><p>
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</NOEMBED>
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</EMBED>
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</COMMENT>
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</OBJECT>
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<!--
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<APPLET CODE = "MyApplet.class" ARCHIVE = MyApplet.zip WIDTH = 1 HEIGHT = 1>
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<PARAM NAME = "calculi" VALUE ="C">
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<p><blink><FONT COLOR="#800000">
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Applet should appear in a new window, but you don't have Java enabled in your browser.
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</FONT></blink><p>
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</APPLET>
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-->
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<!--"END_CONVERTED_APPLET"-->
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</center>
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<P><!-- Created: Tue Jul 3 21:01:42 BST 2001 -->
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<!-- hhmts start -->
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Last modified: Sat Mar 3 05:16:58 CET 2007
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<!-- hhmts end -->
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</BODY>
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</HTML>
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