helm/www/lambdadelta/documentation.html

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   8     <meta name="author" content="Ferruccio Guidi" />
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  10     <title>\lambda\delta home page</title>
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  22     <div class="head1">The Formal Systems of the λδ (\lambda\delta) Family</div>
  23     <div class="spacer">
  24       <img class="rule" alt="[Spacer]" title="\lambda\delta 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/home.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/home.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#helena">helena</a>
  77             </td>
  78             <td class="ssnn capitalize green">
  79               <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
  80             </td>
  81           </tr>
  82           <tr>
  83             <td class="snss capitalize sky">
  84               <a href="http://lambdadelta.info/home.html#citations">citations</a>
  85             </td>
  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="bibtex">Documentation <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">
 108       BibTeX database of λδ documentation:
 109       <span class="emph alpha">download</span>
 110       <a href="http://lambdadelta.info/download/lambdadelta.bib">lambdadelta.bib</a>,
 111       <span class="emph alpha">view</span>
 112       <a href="http://lambdadelta.info/download/lambdadelta.txt">lambdadelta.txt</a>
 113       (revised <span class="emph gamma">2017-09</span>).
 114    </div>
 115     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v3">
 116       <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b8.png" /> λδ version 3 (proposed)</div>
 117     <div xmlns:ld="http://lambdadelta.info/" class="text">
 118       The main source of information is <span class="emph alpha">J3a</span>.
 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 top" id="ldJ3a">
 125               <span class="emph alpha">J3a.</span>
 126             </td>
 127             <td class="ssnn top">F. Guidi: <a href="http://jfr.unibo.it/article/view/4716">Verified Representations of Landau's "Grundlagen" in the λδ Family and in the Calculus of Constructions</a> (<span class="emph alpha">2015-12</span>). In JFR 8(1), Univerity of Bologna, pp. 93-116. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 128           </tr>
 129           <tr>
 130             <td class="nnss top" />
 131             <td class="nssn top">
 132               <br />
 133             </td>
 134           </tr>
 135         </tbody>
 136       </table>
 137     </div>
 138     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v2">
 139       <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" /> λδ version 2 (active)</div>
 140     <div xmlns:ld="http://lambdadelta.info/" class="text">
 141       The main source of information is <span class="emph alpha">R2c</span>.
 142    </div>
 143     <div xmlns:ld="http://lambdadelta.info/" class="text">
 144       <table cellpadding="4" cellspacing="0">
 145         <tbody>
 146           <tr>
 147             <td class="snns top" id="ldR2c">
 148               <span class="emph alpha">R2c.</span>
 149             </td>
 150             <td class="ssnn top">F. Guidi: <a href="http://amsacta.unibo.it/4411/">Extending the Applicability Condition in the Formal System λδ</a> (<span class="emph gamma">2015-03</span>). University of Bologna, technical report AMS Acta 4411. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 151           </tr>
 152           <tr>
 153             <td class="nnns top" />
 154             <td class="nsnn top">
 155               <br />
 156             </td>
 157           </tr>
 158           <tr>
 159             <td class="snns top" id="ldR2b">
 160               <span class="emph alpha">R2b.</span>
 161             </td>
 162             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/cie_2010.pdf">An Efficient Validation Procedure for the Formal System λδ</a> (<span class="emph alpha">2010-07</span>). In CiE 2010 Local Proceedings. University of Azores, CMATI Booklet, pp. 204-213. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 163           </tr>
 164           <tr>
 165             <td class="nnns top" />
 166             <td class="nsnn top">
 167               <br />
 168             </td>
 169           </tr>
 170           <tr>
 171             <td class="snns top" id="ldR2a">
 172               <span class="emph alpha">R2a.</span>
 173             </td>
 174             <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2009/UBLCS-2009-16">Landau's "Grundlagen der Analysis" from Automath to lambda-delta</a> (<span class="emph alpha">2009-09</span>). University of Bologna, technical report UBLCS-2009-16. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 175           </tr>
 176           <tr>
 177             <td class="nnns top" />
 178             <td class="nsnn top">
 179               <br />
 180             </td>
 181           </tr>
 182           <tr>
 183             <td class="snns top" id="ldP2d">
 184               <span class="emph alpha">P2d.</span>
 185             </td>
 186             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_9s.pdf">Considerations on Automath in Light of the Grundlagen</a> (revised <span class="emph gamma">2016-06</span>). Presentation at University of Bologna (slides).</td>
 187           </tr>
 188           <tr>
 189             <td class="nnns top" />
 190             <td class="nsnn top">
 191               <br />
 192             </td>
 193           </tr>
 194           <tr>
 195             <td class="snns top" id="ldP2c">
 196               <span class="emph alpha">P2c.</span>
 197             </td>
 198             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_8s.pdf">The Formal System λδ and the "Three Problems"</a> (<span class="emph beta">2014-06</span>). Presentation at University of Bologna, for the 10th anniversary of λδ (slides).</td>
 199           </tr>
 200           <tr>
 201             <td class="nnns top" />
 202             <td class="nsnn top">
 203               <br />
 204             </td>
 205           </tr>
 206           <tr>
 207             <td class="snns top" id="ldP2b">
 208               <span class="emph alpha">P2b.</span>
 209             </td>
 210             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_7s.pdf">An Efficient Validation Procedure for the Formal System λδ</a> (<span class="emph alpha">2010-07</span>). Presentation at CiE 2010 (slides).</td>
 211           </tr>
 212           <tr>
 213             <td class="nnns top" />
 214             <td class="nsnn top">
 215               <br />
 216             </td>
 217           </tr>
 218           <tr>
 219             <td class="snns top" id="ldP2a">
 220               <span class="emph alpha">P2a.</span>
 221             </td>
 222             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_6s.pdf">A Validator for the Formal System λδ</a> (revised <span class="emph alpha">2010-02</span>). Presentation at University of Bologna (slides).</td>
 223           </tr>
 224           <tr>
 225             <td class="nnns top" />
 226             <td class="nsnn top">
 227               <br />
 228             </td>
 229           </tr>
 230           <tr>
 231             <td class="snns top" id="ldV2a">
 232               <span class="emph alpha">V2a.</span>
 233             </td>
 234             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/version_2.html">lambdadelta_2A1</a> (revised <span class="emph gamma">2014-10</span>). Formal specification for the proof assistant Matita 0.99.2 (scripts). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 235           </tr>
 236           <tr>
 237             <td class="nnss top" />
 238             <td class="nssn top">
 239               <br />
 240             </td>
 241           </tr>
 242         </tbody>
 243       </table>
 244     </div>
 245     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v1">
 246       <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b6.png" /> λδ version 1 (superseded)</div>
 247     <div xmlns:ld="http://lambdadelta.info/" class="text">
 248       The main source of information is <span class="emph alpha">J1a</span>.
 249       A summary is available in <span class="emph alpha">P1e</span>.
 250    </div>
 251     <div xmlns:ld="http://lambdadelta.info/" class="text">
 252       <table cellpadding="4" cellspacing="0">
 253         <tbody>
 254           <tr>
 255             <td class="snns top" id="ldJ1a">
 256               <span class="emph alpha">J1a.</span>
 257             </td>
 258             <td class="ssnn top">F. Guidi: <a href="http://doi.acm.org/10.1145/1614431.1614436">The Formal System λδ</a> (<span class="emph delta">2009-11</span>). In ACM ToCL 11(1), pp. 5:1-5:37 online app. pp. 1-11 (<a href="http://tocl.acm.org/accepted/335guidi.pdf">accepted</a>
 259               <span class="emph delta">2008-07</span>). CoRR identifier <a href="http://arxiv.org/abs/cs/0611040">cs/0611040</a> [v10] (revised <span class="emph delta">2008-09</span>). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 260           </tr>
 261           <tr>
 262             <td class="nnns top" />
 263             <td class="nsnn top">
 264               <br />
 265             </td>
 266           </tr>
 267           <tr>
 268             <td class="snns top" id="ldR1c">
 269               <span class="emph alpha">R1c.</span>
 270             </td>
 271             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/cie_2007.pdf">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="emph delta">2007-06</span>). In CiE 2007 Local Proceedings. University of Siena, technical report 487, p. 387 (abstract of a presentation). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 272           </tr>
 273           <tr>
 274             <td class="nnns top" />
 275             <td class="nsnn top">
 276               <br />
 277             </td>
 278           </tr>
 279           <tr>
 280             <td class="snns top" id="ldR1b">
 281               <span class="emph alpha">R1b.</span>
 282             </td>
 283             <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2006/UBLCS-2006-25">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="emph gamma">2006-11</span>). University of Bologna, technical report UBLCS-2006-25. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 284           </tr>
 285           <tr>
 286             <td class="nnns top" />
 287             <td class="nsnn top">
 288               <br />
 289             </td>
 290           </tr>
 291           <tr>
 292             <td class="snns top" id="ldR1a">
 293               <span class="emph alpha">R1a.</span>
 294             </td>
 295             <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2006/UBLCS-2006-01">Lambda Types on the Lambda Calculus with Abbreviations: a Certified Specification</a> (<span class="emph beta">2006-01</span>). University of Bologna, technical report UBLCS-2006-01. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 296           </tr>
 297           <tr>
 298             <td class="nnns top" />
 299             <td class="nsnn top">
 300               <br />
 301             </td>
 302           </tr>
 303           <tr>
 304             <td class="snns top" id="ldP1e">
 305               <span class="emph alpha">P1e.</span>
 306             </td>
 307             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_5s.pdf">The Formal System λδ</a> (<span class="emph delta">2008-10</span>). Presentation at Advances in Constructive Topology and Logical Foundations (slides).</td>
 308           </tr>
 309           <tr>
 310             <td class="nnns top" />
 311             <td class="nsnn top">
 312               <br />
 313             </td>
 314           </tr>
 315           <tr>
 316             <td class="snns top" id="ldP1d">
 317               <span class="emph alpha">P1d.</span>
 318             </td>
 319             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_4s.pdf">Towards the Unification of Terms, Types and Contexts</a> (<span class="emph gamma">2008-03</span>). Presentation at Types 2008 (slides).</td>
 320           </tr>
 321           <tr>
 322             <td class="nnns top" />
 323             <td class="nsnn top">
 324               <br />
 325             </td>
 326           </tr>
 327           <tr>
 328             <td class="snns top" id="ldP1c">
 329               <span class="emph alpha">P1c.</span>
 330             </td>
 331             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_3s.pdf">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="emph gamma">2007-06</span>). Presentation at CiE 2007 (slides).</td>
 332           </tr>
 333           <tr>
 334             <td class="nnns top" />
 335             <td class="nsnn top">
 336               <br />
 337             </td>
 338           </tr>
 339           <tr>
 340             <td class="snns top" id="ldP1b">
 341               <span class="emph alpha">P1b.</span>
 342             </td>
 343             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_2s.pdf">Lambda Tipi sul Lambda Calcolo con Abbreviazioni</a> (<span class="emph gamma">2007-01</span>). Presentation at University of Padova (slides <span class="emph alpha">in Italian</span>).</td>
 344           </tr>
 345           <tr>
 346             <td class="nnns top" />
 347             <td class="nsnn top">
 348               <br />
 349             </td>
 350           </tr>
 351           <tr>
 352             <td class="snns top" id="ldP1a">
 353               <span class="emph alpha">P1a.</span>
 354             </td>
 355             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_1s.pdf">Lambda Tipi sul Lambda Calcolo con Abbreviazioni: una Specifica Certificata</a> (<span class="emph beta">2005-12</span>). Presentation at University of Bologna (slides <span class="emph alpha">in Italian</span>).</td>
 356           </tr>
 357           <tr>
 358             <td class="nnns top" />
 359             <td class="nsnn top">
 360               <br />
 361             </td>
 362           </tr>
 363           <tr>
 364             <td class="snns top" id="ldV1a">
 365               <span class="emph alpha">V1a.</span>
 366             </td>
 367             <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/version_1.html">lambdadelta_1</a> (revised <span class="emph delta">2015-01</span>). Formal specification for the proof assistant Coq 7.3.1 (scripts). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
 368           </tr>
 369           <tr>
 370             <td class="nnss top" />
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