helm/www/lambdadelta/apps_2.html

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   8     <meta name="author" content="Ferruccio Guidi" />
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  10     <title>applications of lambdadelta version 2</title>
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  22     <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
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  26    <div xmlns:ld="http://lambdadelta.info/" class="head2">Contents of the Specification</div>
  27    <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
  28          applications of λδ version 2.
  29          In particular it contains the components below.
  30    </div>
  31    <ul xmlns:ld="http://lambdadelta.info/">
  32       <li>
  33         <span class="date">MLTT1.</span>
  34          Martin-Löf's Type Theory with one universe
  35          using λδ as theory of expressions.
  36    </li>
  37     </ul>
  38    <ul xmlns:ld="http://lambdadelta.info/">
  39       <li>
  40         <span class="date">Functional.</span>
  41          The validation algorithm for λδ as implemented in
  42          <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
  43    </li>
  44     </ul>
  45
  46    <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
  47    <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
  48          and its timeline.
  49    </div>
  50    <div xmlns:ld="http://lambdadelta.info/" class="text">
  51       <table cellpadding="4" cellspacing="0">
  52         <tbody>
  53           <tr>
  54             <td class="snns component grey">category</td>
  55             <td class="snns plane grey">objects</td>
  56             <td class="snnn number grey">
  57               <br />
  58             </td>
  59             <td class="snnn plane grey">
  60               <br />
  61             </td>
  62             <td class="snnn number grey">
  63               <br />
  64             </td>
  65             <td class="snnn plane grey">
  66               <br />
  67             </td>
  68             <td class="ssnn number grey">
  69               <br />
  70             </td>
  71           </tr>
  72           <tr>
  73             <td class="snns component cyan">sizes</td>
  74             <td class="snns plane cyan">files</td>
  75             <td class="snnn number cyan">4  </td>
  76             <td class="snns plane cyan">characters</td>
  77             <td class="snnn number cyan">3928</td>
  78             <td class="snns plane cyan">nodes</td>
  79             <td class="ssnn number cyan">3637</td>
  80           </tr>
  81           <tr>
  82             <td class="snns component green">propositions</td>
  83             <td class="snns plane green">theorems</td>
  84             <td class="snnn number green">2</td>
  85             <td class="snns plane green">lemmas</td>
  86             <td class="snnn number green">1</td>
  87             <td class="snns plane green">total</td>
  88             <td class="ssnn number green">3</td>
  89           </tr>
  90           <tr>
  91             <td class="snss component yellow">concepts</td>
  92             <td class="snss plane yellow">declared</td>
  93             <td class="snsn number yellow">3</td>
  94             <td class="snss plane yellow">defined</td>
  95             <td class="snsn number yellow">9</td>
  96             <td class="snss plane yellow">total</td>
  97             <td class="sssn number yellow">12</td>
  98           </tr>
  99         </tbody>
 100       </table>
 101     </div>
 102    <ul xmlns:ld="http://lambdadelta.info/">
 103       <li>
 104         <span class="date">2012 February 24.</span>
 105          The Applications directory is started.
 106    </li>
 107     </ul>
 108    <ul xmlns:ld="http://lambdadelta.info/">
 109       <li>
 110         <span class="date">2011 December 20.</span>
 111          The Functional component is started
 112          inside the specification of λδ version 2.
 113    </li>
 114     </ul>
 115    <ul xmlns:ld="http://lambdadelta.info/">
 116       <li>
 117         <span class="date">2011 December 12.</span>
 118          The MLTT1 component is started.
 119    </li>
 120     </ul>
 121
 122    <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
 123    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
 124          according to the following table.
 125          Each component contains its own notation file.
 126          The notation for the relations or functions introduced in each file
 127          is shown in parentheses (? are placeholders).
 128    </div>
 129    <div xmlns:ld="http://lambdadelta.info/" class="text">
 130       <table cellpadding="4" cellspacing="0">
 131         <tbody>
 132           <tr>
 133             <td class="snns component grey">component</td>
 134             <td class="snns plane grey">plane</td>
 135             <td class="snns file grey">files</td>
 136             <td class="ssnn file grey">
 137               <br />
 138             </td>
 139           </tr>
 140           <tr>
 141             <td class="snns component red">functional</td>
 142             <td class="snns plane red">reduction and type machine</td>
 143             <td class="snns file red">rtm</td>
 144             <td class="ssnn file red">rtm_step ( ? ⇨ ? )</td>
 145           </tr>
 146           <tr>
 147             <td class="nnss component red">
 148               <br />
 149             </td>
 150             <td class="snss plane red">relocation</td>
 151             <td class="snss file red">lift ( ↑[?,?] ? )</td>
 152             <td class="sssn file red">
 153               <br />
 154             </td>
 155           </tr>
 156         </tbody>
 157       </table>
 158     </div>
 159
 160    <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
 161    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
 162          one for each component.
 163    </div>
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 190     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 01 Jun 2013 18:41:06 +0200</div>
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