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1 <HTML lang=en> |
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2 <HEAD> |
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3 <TITLE> Christian Urban </TITLE> |
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4 <BASE HREF="http://www4.in.tum.de/~urbanc/Cut/"> |
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5 </HEAD> |
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6 |
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7 <BODY TEXT="#000000" |
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8 BGCOLOR="#000080" |
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9 LINK="#0000EF" |
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10 VLINK="#51188E" |
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11 ALINK="#FF0000"> |
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12 |
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13 <TABLE WIDTH="100%" |
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14 COLS="2" |
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16 BORDER="0" |
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17 FRAME="none" |
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18 CELLPADDING="10" |
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19 CELLSPACING="2" |
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20 RULES="COLS,ROWS"> |
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21 |
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22 <!-- left column --> |
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23 <TR> |
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24 <TD BGCOLOR="#FFFFFF" |
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25 WIDTH="24%" |
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26 VALIGN="TOP" |
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27 ROWSPAN="4"> |
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28 |
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29 <B>Links</B><BR> |
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30 <A HREF="http://www4.in.tum.de/~urbanc/index.html">Home</A><BR> |
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31 <A HREF="http://www4.in.tum.de/~urbanc/Cut/cutapplet.html">Applet Home</A><BR><BR><p> |
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32 |
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33 <B>Java Versions</B><BR> |
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34 <A HREF="http://www4.in.tum.de/~urbanc/Cut/CL.html">CL</A><BR> |
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35 <A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT.html">LJT</A><BR> |
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36 <A HREF="http://www4.in.tum.de/~urbanc/Cut/ND.html">ND</A><BR><BR> |
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37 |
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38 <B>Plugin Versions</B><BR> |
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39 <A HREF="http://www4.in.tum.de/~urbanc/Cut/CL-plugin.html">CL</A><BR> |
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40 <A HREF="http://www4.in.tum.de/~urbanc/Cut/LJT-plugin.html">LJT</A><BR> |
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41 <A HREF="http://www4.in.tum.de/~urbanc/Cut/ND-plugin.html">ND</A><BR> |
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42 |
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43 <BR> |
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44 <BR> |
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45 |
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46 <A HREF="http://isabelle.in.tum.de/nominal/"> |
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47 <IMG SRC="ribbon.gif" ALT="" style="width: 114px; height: 100px;" align="left"> |
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48 </A> |
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49 </TD> |
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50 |
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51 |
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52 <!-- right column --> |
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53 <TD BGCOLOR="#FFFFFF" WIDTH="75%"> |
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54 <A NAME="Home"></A> |
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55 <H2>Normalisation in intuitionistic natural deduction</H2> |
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56 |
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57 This applet implements the bog-standard version of intuitionistic |
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58 natural deduction. If you are familiar with any textbook on proof |
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59 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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60 Note that natural deduction is here implemented in `sequent style'. |
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61 </TD> |
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62 </TR> |
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63 |
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64 <TR> |
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65 <TD BGCOLOR="#FFFFFF" WIDTH="75%"> |
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66 <B>How to use it?</B> |
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67 If your browser is working correctly, then you will see a window |
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68 with two examples (more added if I have time or you suggest one). |
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69 When you press on one of the buttons, a new window will pop up. What |
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70 follows is a brief explanation of all the features available in this window. |
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71 </TD> |
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72 </TR> |
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73 |
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74 <TR> |
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75 <TD BGCOLOR="#FFFFFF" WIDTH="75%"> |
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76 <B>Buttons and Keys</B> |
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77 <UL> |
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78 <LI> The buttons |
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79 <IMG SRC="http://www4.in.tum.de/~urbanc/Cut/x.jpg"> |
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80 `fire' beta-redexes (nothing surprising here). |
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81 <LI> If you use the <B>left mouse button</B> for pressing on those buttons, |
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82 then the new proof will appear inside the window. Whereas if you use |
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83 the <B>right mouse button</B>, a new window will pop up and |
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84 the new proof will be displayed in this window. Use the right mouse |
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85 button if you want to compare a proof and its reduct. |
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86 <LI> The keys <B>Page-up</B> and <B>Page-down</B> zoom in or out of a proof |
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87 respectively. |
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88 </UL> |
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89 </TD> |
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90 </TR> |
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91 |
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92 <TR> |
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93 <TD BGCOLOR="#FFFFFF" WIDTH="75%"> |
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94 <B>Menu Functions</B> |
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95 |
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96 <UL> |
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97 <LI> <B>Zoom in</B> and <B>Zoom out</B> work like Page-up and Page-down, |
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98 respectively. |
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99 <LI> <B>Unicode</B> If this radiobutton is switched on, logic symbols |
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100 are displayed in unicode, otherwise in ascii. (This is for the |
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101 poor guys who have a browser and/or operating system which cannot handle |
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102 unicode.) |
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103 <LI> <B>Labels</B> As mentioned earlier the sequents are composed of |
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104 two sets of labelled |
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105 formulae, not multisets of formulae as in the standard formulation |
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106 of sequent calculus. Enabling this radiobutton causes that labels are |
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107 drawn. Use this when you are unsure where implicit contractions are. |
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108 <LI> <B>Compact printing</B> Usually formulae are weakened only in axiom. |
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109 If this radiobutton is switched on (default), then, in order to save space, |
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110 formulae are weakened as soon as possible. |
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111 </UL> |
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112 </TD> |
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113 </TR> |
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114 |
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115 </TABLE> |
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116 <center> |
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117 <!--"CONVERTED_APPLET"--> |
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118 <!-- HTML CONVERTER --> |
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127 <COMMENT> |
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129 <p><blink><FONT COLOR="#800000"> |
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130 Applet should appear in a new window, but you don't have Java enabled in your browser. |
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131 </FONT></blink><p> |
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132 </NOEMBED> |
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133 </EMBED> |
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134 </COMMENT> |
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135 </OBJECT> |
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136 |
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137 <!-- |
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138 <APPLET CODE = "MyApplet.class" ARCHIVE = MyApplet.zip WIDTH = 1 HEIGHT = 1> |
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139 <PARAM NAME = "calculi" VALUE ="C"> |
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140 <p><blink><FONT COLOR="#800000"> |
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141 Applet should appear in a new window, but you don't have Java enabled in your browser. |
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142 </FONT></blink><p> |
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143 |
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144 </APPLET> |
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145 --> |
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146 |
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147 |
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148 <!--"END_CONVERTED_APPLET"--> |
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149 |
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150 |
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151 </center> |
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152 <P><!-- Created: Tue Jul 3 21:01:42 BST 2001 --> |
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153 <!-- hhmts start --> |
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154 Last modified: Sat Mar 3 05:16:58 CET 2007 |
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155 <!-- hhmts end --> |
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156 </BODY> |
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157 </HTML> |