helm/www/lambdadelta/apps_2.html

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
   3 <html xmlns="http://www.w3.org/1999/xhtml" dir="ltr" lang="en-us">
   4   <head>
   5     <meta http-equiv="Content-Language" content="en-us" />
   6     <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
   7     <meta http-equiv="Content-Style-Type" content="text/css" />
   8     <meta name="author" content="Ferruccio Guidi" />
   9     <meta name="description" content="\lambda\delta home page" />
  10     <title>\lambda\delta home page</title>
  11     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
  12     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
  13     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
  14     <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
  15   </head>
  16   <body lang="en-US">
  17     <div class="spacer">
  18       <a href="http://lambdadelta.info/">
  19         <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
  20       </a>
  21     </div>
  22     <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
  23     <div class="spacer">
  24       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
  25     </div>
  26     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
  27       <br />
  28     </div>
  29     <div xmlns:ld="http://lambdadelta.info/" class="text">
  30       <table cellpadding="4" cellspacing="0">
  31         <tbody>
  32           <tr>
  33             <td class="snns capitalize italic sky">
  34               <a href="http://lambdadelta.info/index.html">home</a>
  35             </td>
  36             <td class="snns capitalize italic magenta">
  37               <a href="http://lambdadelta.info/news.html">news</a>
  38             </td>
  39             <td class="snns capitalize italic orange">
  40               <a href="http://lambdadelta.info/documentation.html">documentation</a>
  41             </td>
  42             <td class="snns capitalize italic green">
  43               <a href="http://lambdadelta.info/specification.html">specification</a>
  44             </td>
  45             <td class="snnn capitalize italic green">
  46               <br />
  47             </td>
  48             <td class="snns capitalize italic green">
  49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
  50             </td>
  51             <td class="ssnn capitalize italic green">
  52               <br />
  53             </td>
  54           </tr>
  55           <tr>
  56             <td class="snns capitalize sky">
  57               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
  58             </td>
  59             <td class="snns capitalize magenta">
  60               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
  61             </td>
  62             <td class="snns capitalize orange">
  63               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
  64             </td>
  65             <td class="snns capitalize green">
  66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
  67             </td>
  68             <td class="snnn capitalize green">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
  69             <td class="snns capitalize green">
  70               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
  71             </td>
  72             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
  73           </tr>
  74           <tr>
  75             <td class="snss capitalize sky">
  76               <a href="http://lambdadelta.info/index.html#citations">citations</a>
  77             </td>
  78             <td class="snss capitalize magenta">
  79               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
  80             </td>
  81             <td class="snss capitalize orange">
  82               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
  83             </td>
  84             <td class="snss capitalize green">
  85               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
  86             </td>
  87             <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
  88             <td class="snss capitalize green">
  89               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
  90             </td>
  91             <td class="sssn capitalize green">
  92               <br />
  93             </td>
  94           </tr>
  95         </tbody>
  96       </table>
  97     </div>
  98     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
  99     </div>
 100     <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
 101          applications of λδ version 2.
 102          In particular it contains the components below.
 103    </div>
 104     <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
 105       <li>
 106         <span class="emph alpha">MLTT1.</span>
 107       Martin-Löf's Type Theory with one universe
 108       using λδ as theory of expressions.
 109    </li>
 110     </ul>
 111     <ul xmlns:ld="http://lambdadelta.info/" id="functional">
 112       <li>
 113         <span class="emph alpha">Functional.</span>
 114       The validation algorithm for λδ as implemented in
 115       <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
 116    </li>
 117     </ul>
 118     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
 119     </div>
 120     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
 121          and its timeline.
 122    </div>
 123     <div xmlns:ld="http://lambdadelta.info/" class="text">
 124       <table cellpadding="4" cellspacing="0">
 125         <tbody>
 126           <tr>
 127             <td class="snns capitalize italic gray">category</td>
 128             <td class="snns italic gray">objects</td>
 129             <td class="snnn right italic gray">
 130               <br />
 131             </td>
 132             <td class="snnn italic gray">
 133               <br />
 134             </td>
 135             <td class="snnn right italic gray">
 136               <br />
 137             </td>
 138             <td class="snnn italic gray">
 139               <br />
 140             </td>
 141             <td class="ssnn right italic gray">
 142               <br />
 143             </td>
 144           </tr>
 145           <tr>
 146             <td class="snns capitalize italic cyan">sizes</td>
 147             <td class="snns italic cyan">files</td>
 148             <td class="snnn right italic cyan">4</td>
 149             <td class="snns italic cyan">characters</td>
 150             <td class="snnn right italic cyan">68581</td>
 151             <td class="snns italic cyan">nodes</td>
 152             <td class="ssnn right italic cyan">3637</td>
 153           </tr>
 154           <tr>
 155             <td class="snns capitalize italic green">propositions</td>
 156             <td class="snns italic green">theorems</td>
 157             <td class="snnn right italic green">2</td>
 158             <td class="snns italic green">lemmas</td>
 159             <td class="snnn right italic green">1</td>
 160             <td class="snns italic green">total</td>
 161             <td class="ssnn right italic green">3</td>
 162           </tr>
 163           <tr>
 164             <td class="snss capitalize italic yellow">concepts</td>
 165             <td class="snss italic yellow">declared</td>
 166             <td class="snsn right italic yellow">3</td>
 167             <td class="snss italic yellow">defined</td>
 168             <td class="snsn right italic yellow">9</td>
 169             <td class="snss italic yellow">total</td>
 170             <td class="sssn right italic yellow">12</td>
 171           </tr>
 172         </tbody>
 173       </table>
 174     </div>
 175     <ul xmlns:ld="http://lambdadelta.info/">
 176       <li>
 177         <span class="emph alpha">2012 February 24.</span>
 178          The Applications directory is started.
 179    </li>
 180     </ul>
 181     <ul xmlns:ld="http://lambdadelta.info/">
 182       <li>
 183         <span class="emph alpha">2011 December 20.</span>
 184          The Functional component is started
 185          inside the specification of λδ version 2.
 186    </li>
 187     </ul>
 188     <ul xmlns:ld="http://lambdadelta.info/">
 189       <li>
 190         <span class="emph alpha">2011 December 12.</span>
 191          The MLTT1 component is started.
 192    </li>
 193     </ul>
 194     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
 195     </div>
 196     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
 197    </div>
 198     <div xmlns:ld="http://lambdadelta.info/" class="text">
 199       <table cellpadding="4" cellspacing="0">
 200         <tbody>
 201           <tr>
 202             <td class="snns top capitalize italic gray">component</td>
 203             <td class="snns top italic gray">plane</td>
 204             <td class="snns top gray">files</td>
 205             <td class="ssnn top gray">
 206               <br />
 207             </td>
 208           </tr>
 209           <tr>
 210             <td class="snns top capitalize italic red">functional</td>
 211             <td class="snns top italic red">reduction and type machine</td>
 212             <td class="snns top red">rtm</td>
 213             <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
 214           </tr>
 215           <tr>
 216             <td class="nnss top capitalize italic red">
 217               <br />
 218             </td>
 219             <td class="snss top italic red">relocation</td>
 220             <td class="snss top red">lift ( ↑[?,?] ? )</td>
 221             <td class="sssn top red">
 222               <br />
 223             </td>
 224           </tr>
 225         </tbody>
 226       </table>
 227     </div>
 228     <div class="spacer">
 229       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
 230     </div>
 231     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
 232       <br />
 233     </div>
 234     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
 235       <a href="http://validator.w3.org/check?uri=referer">
 236         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
 237       </a>
 238       <a href="http://jigsaw.w3.org/css-validator/check/referer">
 239         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
 240       </a>
 241       <a href="http://www.w3.org/XML/">
 242         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
 243       </a>
 244       <a href="http://www.w3.org/Graphics/PNG/">
 245         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
 246       </a>
 247       <a href="http://www.anybrowser.org/campaign/">
 248         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
 249       </a>
 250     </div>
 251     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
 252       <br />
 253     </div>
 254     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 15 Jan 2015 16:54:45 +0100</div>
 255   </body>
 256 </html>