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/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="ssns capitalize italic green">
  49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
  50             </td>
  51           </tr>
  52           <tr>
  53             <td class="snns capitalize sky">
  54               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
  55             </td>
  56             <td class="snns capitalize magenta">
  57               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
  58             </td>
  59             <td class="snns capitalize orange">
  60               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
  61             </td>
  62             <td class="snns capitalize green">
  63               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
  64             </td>
  65             <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>
  66             <td class="ssns capitalize green">
  67               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
  68             </td>
  69           </tr>
  70           <tr>
  71             <td class="snss capitalize sky">
  72               <a href="http://lambdadelta.info/index.html#citations">citations</a>
  73             </td>
  74             <td class="snss capitalize magenta">
  75               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
  76             </td>
  77             <td class="snss capitalize orange">
  78               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
  79             </td>
  80             <td class="snss capitalize green">
  81               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
  82             </td>
  83             <td class="snsn capitalize green">
  84               <br />
  85             </td>
  86             <td class="ssss capitalize green">
  87               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
  88             </td>
  89           </tr>
  90         </tbody>
  91       </table>
  92     </div>
  93
  94    <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" />
  95     </div>
  96    <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
  97          applications of λδ version 2.
  98          In particular it contains the components below.
  99    </div>
 100    <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
 101       <li>
 102       <span class="emph alpha">MLTT1.</span>
 103       Martin-Löf's Type Theory with one universe
 104       using λδ as theory of expressions.
 105    </li>
 106     </ul>
 107    <ul xmlns:ld="http://lambdadelta.info/" id="functional">
 108       <li>
 109       <span class="emph alpha">Functional.</span>
 110       The validation algorithm for λδ as implemented in
 111       <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
 112    </li>
 113     </ul>
 114
 115    <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" />
 116     </div>
 117    <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
 118          and its timeline.
 119    </div>
 120    <div xmlns:ld="http://lambdadelta.info/" class="text">
 121       <table cellpadding="4" cellspacing="0">
 122         <tbody>
 123           <tr>
 124             <td class="snns capitalize italic gray">category</td>
 125             <td class="snns italic gray">objects</td>
 126             <td class="snnn right italic gray">
 127               <br />
 128             </td>
 129             <td class="snnn italic gray">
 130               <br />
 131             </td>
 132             <td class="snnn right italic gray">
 133               <br />
 134             </td>
 135             <td class="snnn italic gray">
 136               <br />
 137             </td>
 138             <td class="ssnn right italic gray">
 139               <br />
 140             </td>
 141           </tr>
 142           <tr>
 143             <td class="snns capitalize italic cyan">sizes</td>
 144             <td class="snns italic cyan">files</td>
 145             <td class="snnn right italic cyan">4</td>
 146             <td class="snns italic cyan">characters</td>
 147             <td class="snnn right italic cyan">68581</td>
 148             <td class="snns italic cyan">nodes</td>
 149             <td class="ssnn right italic cyan">3637</td>
 150           </tr>
 151           <tr>
 152             <td class="snns capitalize italic green">propositions</td>
 153             <td class="snns italic green">theorems</td>
 154             <td class="snnn right italic green">2</td>
 155             <td class="snns italic green">lemmas</td>
 156             <td class="snnn right italic green">1</td>
 157             <td class="snns italic green">total</td>
 158             <td class="ssnn right italic green">3</td>
 159           </tr>
 160           <tr>
 161             <td class="snss capitalize italic yellow">concepts</td>
 162             <td class="snss italic yellow">declared</td>
 163             <td class="snsn right italic yellow">3</td>
 164             <td class="snss italic yellow">defined</td>
 165             <td class="snsn right italic yellow">9</td>
 166             <td class="snss italic yellow">total</td>
 167             <td class="sssn right italic yellow">12</td>
 168           </tr>
 169         </tbody>
 170       </table>
 171     </div>
 172    <ul xmlns:ld="http://lambdadelta.info/">
 173       <li>
 174         <span class="emph alpha">2012 February 24.</span>
 175          The Applications directory is started.
 176    </li>
 177     </ul>
 178    <ul xmlns:ld="http://lambdadelta.info/">
 179       <li>
 180         <span class="emph alpha">2011 December 20.</span>
 181          The Functional component is started
 182          inside the specification of λδ version 2.
 183    </li>
 184     </ul>
 185    <ul xmlns:ld="http://lambdadelta.info/">
 186       <li>
 187         <span class="emph alpha">2011 December 12.</span>
 188          The MLTT1 component is started.
 189    </li>
 190     </ul>
 191
 192    <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" />
 193     </div>
 194    <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
 195    </div>
 196    <div xmlns:ld="http://lambdadelta.info/" class="text">
 197       <table cellpadding="4" cellspacing="0">
 198         <tbody>
 199           <tr>
 200             <td class="snns top capitalize italic gray">component</td>
 201             <td class="snns top italic gray">plane</td>
 202             <td class="snns top gray">files</td>
 203             <td class="ssnn top gray">
 204               <br />
 205             </td>
 206           </tr>
 207           <tr>
 208             <td class="snns top capitalize italic red">functional</td>
 209             <td class="snns top italic red">reduction and type machine</td>
 210             <td class="snns top red">rtm</td>
 211             <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
 212           </tr>
 213           <tr>
 214             <td class="nnss top capitalize italic red">
 215               <br />
 216             </td>
 217             <td class="snss top italic red">relocation</td>
 218             <td class="snss top red">lift ( ↑[?,?] ? )</td>
 219             <td class="sssn top red">
 220               <br />
 221             </td>
 222           </tr>
 223         </tbody>
 224       </table>
 225     </div>
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 253     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 04 Nov 2014 16:28:52 +0100</div>
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