helm/www/lambdadelta/ground_2.html

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  22     <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
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  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 white">
  40               <a href="http://lambdadelta.info/specification.html">specification</a>
  41             </td>
  42             <td class="snnn capitalize italic white">
  43               <br />
  44             </td>
  45             <td class="snnn capitalize italic white">
  46               <br />
  47             </td>
  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>
  53             </td>
  54             <td class="ssnn capitalize italic green">
  55               <br />
  56             </td>
  57           </tr>
  58           <tr>
  59             <td class="snns capitalize sky">
  60               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
  61             </td>
  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#lddl">library</a>
  77             </td>
  78             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
  79           </tr>
  80           <tr>
  81             <td class="snss capitalize sky">
  82               <a href="http://lambdadelta.info/index.html#citations">citations</a>
  83             </td>
  84             <td class="snss capitalize magenta">
  85               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
  86             </td>
  87             <td class="snss capitalize white">
  88               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
  89             </td>
  90             <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>
  91             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
  92             <td class="snss capitalize orange">
  93               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
  94             </td>
  95             <td class="snss capitalize green">
  96               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
  97             </td>
  98             <td class="sssn capitalize green">
  99               <br />
 100             </td>
 101           </tr>
 102         </tbody>
 103       </table>
 104     </div>
 105     <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" />
 106     </div>
 107     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
 108          and its timeline.
 109    </div>
 110     <div xmlns:ld="http://lambdadelta.info/" class="text">
 111       <table cellpadding="4" cellspacing="0">
 112         <tbody>
 113           <tr>
 114             <td class="snns capitalize italic gray">category</td>
 115             <td class="snns italic gray">objects</td>
 116             <td class="snnn right italic gray">
 117               <br />
 118             </td>
 119             <td class="snnn italic gray">
 120               <br />
 121             </td>
 122             <td class="snnn right italic gray">
 123               <br />
 124             </td>
 125             <td class="snnn italic gray">
 126               <br />
 127             </td>
 128             <td class="ssnn right italic gray">
 129               <br />
 130             </td>
 131           </tr>
 132           <tr>
 133             <td class="snns capitalize italic cyan">sizes</td>
 134             <td class="snns italic cyan">files</td>
 135             <td class="snnn right italic cyan">43</td>
 136             <td class="snns italic cyan">characters</td>
 137             <td class="snnn right italic cyan">63097</td>
 138             <td class="snns italic cyan">nodes</td>
 139             <td class="ssnn right italic cyan">121730</td>
 140           </tr>
 141           <tr>
 142             <td class="snns capitalize italic green">propositions</td>
 143             <td class="snns italic green">theorems</td>
 144             <td class="snnn right italic green">9</td>
 145             <td class="snns italic green">lemmas</td>
 146             <td class="snnn right italic green">277</td>
 147             <td class="snns italic green">total</td>
 148             <td class="ssnn right italic green">286</td>
 149           </tr>
 150           <tr>
 151             <td class="snss capitalize italic yellow">concepts</td>
 152             <td class="snss italic yellow">declared</td>
 153             <td class="snsn right italic yellow">45</td>
 154             <td class="snss italic yellow">defined</td>
 155             <td class="snsn right italic yellow">30</td>
 156             <td class="snss italic yellow">total</td>
 157             <td class="sssn right italic yellow">75</td>
 158           </tr>
 159         </tbody>
 160       </table>
 161     </div>
 162     <ul xmlns:ld="http://lambdadelta.info/">
 163       <li>
 164         <span class="emph alpha">2015 October 11.</span>
 165          Multiple relocation with lists of booleans.
 166    </li>
 167     </ul>
 168     <ul xmlns:ld="http://lambdadelta.info/">
 169       <li>
 170         <span class="emph alpha">2013 November 27.</span>
 171          Natural numbers with infinity.
 172    </li>
 173     </ul>
 174     <ul xmlns:ld="http://lambdadelta.info/">
 175       <li>
 176         <span class="emph alpha">2011 August 10.</span>
 177          Specification starts.
 178    </li>
 179     </ul>
 180     <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" />
 181     </div>
 182     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
 183    </div>
 184     <div xmlns:ld="http://lambdadelta.info/" class="text">
 185       <table cellpadding="4" cellspacing="0">
 186         <tbody>
 187           <tr>
 188             <td class="snns top capitalize italic gray">component</td>
 189             <td class="snns top italic gray">plane</td>
 190             <td class="snns top gray">files</td>
 191             <td class="snnn top gray">
 192               <br />
 193             </td>
 194             <td class="snnn top gray">
 195               <br />
 196             </td>
 197             <td class="snnn top gray">
 198               <br />
 199             </td>
 200             <td class="snnn top gray">
 201               <br />
 202             </td>
 203             <td class="ssnn top gray">
 204               <br />
 205             </td>
 206           </tr>
 207           <tr>
 208             <td class="snns top capitalize italic green">multiple relocation</td>
 209             <td class="snns top italic green" />
 210             <td class="snns top green">trace ( ∥?∥ )</td>
 211             <td class="snnn top green">trace_at ( @⦃?,?⦄ ≡ ? )</td>
 212             <td class="snnn top green">trace_after ( ? ⊚ ? ≡ ? )</td>
 213             <td class="snnn top green">trace_isid ( 𝐈⦃?⦄ )</td>
 214             <td class="snnn top green">trace_sor ( ? ⋓ ? ≡ ? )</td>
 215             <td class="ssnn top green">
 216               <br />
 217             </td>
 218           </tr>
 219           <tr>
 220             <td class="nnns top capitalize italic green">
 221               <br />
 222             </td>
 223             <td class="nnns top italic green">
 224               <br />
 225             </td>
 226             <td class="snns top green">mr2</td>
 227             <td class="snnn top green">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
 228             <td class="snnn top green">mr2_plus ( ? + ? )</td>
 229             <td class="snnn top green">mr2_minus ( ? ▭ ? ≡ ? )</td>
 230             <td class="snnn top green">
 231               <br />
 232             </td>
 233             <td class="ssnn top green">
 234               <br />
 235             </td>
 236           </tr>
 237           <tr>
 238             <td class="snns top capitalize italic grass">natural numbers with infinity</td>
 239             <td class="snns top italic grass" />
 240             <td class="snns top grass">ynat ( ∞ )</td>
 241             <td class="snnn top grass">ynat_pred ( ⫰? )</td>
 242             <td class="snnn top grass">ynat_succ ( ⫯? )</td>
 243             <td class="snnn top grass">ynat_le ( ? ≤ ? )</td>
 244             <td class="snnn top grass">ynat_lt ( ? &lt; ? )</td>
 245             <td class="ssnn top grass">ynat_plus ( ? + ? )</td>
 246           </tr>
 247           <tr>
 248             <td class="snns top capitalize italic yellow">extensions to the library</td>
 249             <td class="snns top italic yellow" />
 250             <td class="snns top yellow">star</td>
 251             <td class="snnn top yellow">lstar</td>
 252             <td class="snnn top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
 253             <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? )</td>
 254             <td class="snnn top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td>
 255             <td class="ssnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
 256           </tr>
 257           <tr>
 258             <td class="snns top capitalize italic orange">generated logical decomposables</td>
 259             <td class="snns top italic orange" />
 260             <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
 261             <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
 262             <td class="snnn top orange">
 263               <br />
 264             </td>
 265             <td class="snnn top orange">
 266               <br />
 267             </td>
 268             <td class="snnn top orange">
 269               <br />
 270             </td>
 271             <td class="ssnn top orange">
 272               <br />
 273             </td>
 274           </tr>
 275           <tr>
 276             <td class="snss top capitalize italic red" />
 277             <td class="snss top italic red" />
 278             <td class="snss top red">
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 280             </td>
 281             <td class="snsn top red">
 282               <br />
 283             </td>
 284             <td class="snsn top red">
 285               <br />
 286             </td>
 287             <td class="snsn top red">
 288               <br />
 289             </td>
 290             <td class="snsn top red">
 291               <br />
 292             </td>
 293             <td class="sssn top red">
 294               <br />
 295             </td>
 296           </tr>
 297         </tbody>
 298       </table>
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 326     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 14 Oct 2015 21:47:00 +0200</div>
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