helm/www/lambdadelta/apps_2.html

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  22     <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
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  33             <td class="snns capitalize italic sky">
  34               <a href="http://lambdadelta.info/home.html">home</a>
  35             </td>
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  37               <a href="http://lambdadelta.info/news.html">news</a>
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  39             <td class="snns capitalize italic white">
  40               <a href="http://lambdadelta.info/specification.html">specification</a>
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  48             <td class="snns capitalize italic orange">
  49               <a href="http://lambdadelta.info/documentation.html">documentation</a>
  50             </td>
  51             <td class="snns capitalize italic green">
  52               <a href="http://lambdadelta.info/implementation.html">implementation</a>
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  54             <td class="ssnn capitalize italic green">
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  60               <a href="http://lambdadelta.info/home.html#foreword">foreword</a>
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  62             <td class="snns capitalize magenta">
  63               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
  64             </td>
  65             <td class="snns capitalize white">
  66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
  67             </td>
  68             <td class="snnn capitalize white">(<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="snnn capitalize white">
  70               <br />
  71             </td>
  72             <td class="snns capitalize orange">
  73               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
  74             </td>
  75             <td class="snns capitalize green">
  76               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
  77             </td>
  78             <td class="ssnn capitalize green">
  79               <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
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  82           <tr>
  83             <td class="snss capitalize sky">
  84               <a href="http://lambdadelta.info/home.html#citations">citations</a>
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  86             <td class="snss capitalize magenta">
  87               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
  88             </td>
  89             <td class="snss capitalize white">
  90               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
  91             </td>
  92             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
  93             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
  94             <td class="snss capitalize orange">
  95               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
  96             </td>
  97             <td class="snss capitalize green">
  98               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
  99             </td>
 100             <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
 101           </tr>
 102         </tbody>
 103       </table>
 104     </div>
 105     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
 106     </div>
 107     <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
 108          applications of λδ version 2.
 109          In particular it contains the components below.
 110    </div>
 111     <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
 112       <li>
 113         <span class="emph alpha">MLTT1.</span>
 114       Martin-Löf's Type Theory with one universe
 115       using λδ as theory of expressions.
 116    </li>
 117     </ul>
 118     <ul xmlns:ld="http://lambdadelta.info/" id="functional">
 119       <li>
 120         <span class="emph alpha">Functional.</span>
 121       The validation algorithm for λδ as implemented in
 122       <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
 123    </li>
 124     </ul>
 125     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
 126     </div>
 127     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
 128          and its timeline.
 129    </div>
 130     <div xmlns:ld="http://lambdadelta.info/" class="text">
 131       <table cellpadding="4" cellspacing="0">
 132         <tbody>
 133           <tr>
 134             <td class="snns capitalize italic gray">category</td>
 135             <td class="snns italic gray">objects</td>
 136             <td class="snnn right italic gray">
 137               <br />
 138             </td>
 139             <td class="snnn italic gray">
 140               <br />
 141             </td>
 142             <td class="snnn right italic gray">
 143               <br />
 144             </td>
 145             <td class="snnn italic gray">
 146               <br />
 147             </td>
 148             <td class="ssnn right italic gray">
 149               <br />
 150             </td>
 151           </tr>
 152           <tr>
 153             <td class="snns capitalize italic cyan">sizes</td>
 154             <td class="snns italic cyan">files</td>
 155             <td class="snnn right italic cyan">1</td>
 156             <td class="snns italic cyan">characters</td>
 157             <td class="snnn right italic cyan">217</td>
 158             <td class="snns italic cyan">nodes</td>
 159             <td class="ssnn right italic cyan">0</td>
 160           </tr>
 161           <tr>
 162             <td class="snns capitalize italic green">propositions</td>
 163             <td class="snns italic green">theorems</td>
 164             <td class="snnn right italic green">0</td>
 165             <td class="snns italic green">lemmas</td>
 166             <td class="snnn right italic green">0</td>
 167             <td class="snns italic green">total</td>
 168             <td class="ssnn right italic green">0</td>
 169           </tr>
 170           <tr>
 171             <td class="snss capitalize italic yellow">concepts</td>
 172             <td class="snss italic yellow">declared</td>
 173             <td class="snsn right italic yellow">0</td>
 174             <td class="snss italic yellow">defined</td>
 175             <td class="snsn right italic yellow">0</td>
 176             <td class="snss italic yellow">total</td>
 177             <td class="sssn right italic yellow">0</td>
 178           </tr>
 179         </tbody>
 180       </table>
 181     </div>
 182     <ul xmlns:ld="http://lambdadelta.info/">
 183       <li>
 184         <span class="emph alpha">2012 February 24.</span>
 185          The Applications directory is started.
 186    </li>
 187     </ul>
 188     <ul xmlns:ld="http://lambdadelta.info/">
 189       <li>
 190         <span class="emph alpha">2011 December 20.</span>
 191          The Functional component is started
 192          inside the specification of λδ version 2.
 193    </li>
 194     </ul>
 195     <ul xmlns:ld="http://lambdadelta.info/">
 196       <li>
 197         <span class="emph alpha">2011 December 12.</span>
 198          The MLTT1 component is started.
 199    </li>
 200     </ul>
 201     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
 202     </div>
 203     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
 204    </div>
 205     <div xmlns:ld="http://lambdadelta.info/" class="text">
 206       <table cellpadding="4" cellspacing="0">
 207         <tbody>
 208           <tr>
 209             <td class="snns top capitalize italic gray">component</td>
 210             <td class="snns top italic gray">plane</td>
 211             <td class="snns top gray">files</td>
 212             <td class="ssnn top gray">
 213               <br />
 214             </td>
 215           </tr>
 216           <tr>
 217             <td class="snns top capitalize italic red">functional</td>
 218             <td class="snns top italic red">reduction and type machine</td>
 219             <td class="snns top red">rtm</td>
 220             <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
 221           </tr>
 222           <tr>
 223             <td class="nnss top capitalize italic red">
 224               <br />
 225             </td>
 226             <td class="snss top italic red">relocation</td>
 227             <td class="snss top red">lift ( ↑[?,?] ? )</td>
 228             <td class="sssn top red">
 229               <br />
 230             </td>
 231           </tr>
 232         </tbody>
 233       </table>
 234     </div>
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 261     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 13 Sep 2016 21:24:59 +0200</div>
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