helm/www/lambdadelta/basic_2.html

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  10     <title>lambdadelta version 2</title>
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  22     <div class="head1">cic:/matita/lambdadelta/basic_2/ (λδ version 2)</div>
  23     <div class="spacer">
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  25     </div>
  26    <div xmlns:ld="http://lambdadelta.info/" class="head2">System's Syntax and Behavior</div>
  27    <div xmlns:ld="http://lambdadelta.info/" class="text">This is a summary of the "block structure"
  28          of the System's syntactic items and reductions.
  29    </div>
  30    <div xmlns:ld="http://lambdadelta.info/" class="text">
  31       <table cellpadding="4" cellspacing="0">
  32         <tbody>
  33           <tr>
  34             <td class="snns text grey">domain</td>
  35             <td class="snns plane grey">block</td>
  36             <td class="snns text grey">leader</td>
  37             <td class="snns text grey">applicator (with →θ)*</td>
  38             <td class="snns text grey">reduction</td>
  39             <td class="snns text grey">→ζ *</td>
  40             <td class="ssns text grey">reference *</td>
  41           </tr>
  42           <tr>
  43             <td class="snns text">{X | Γ ⊢ X : W}</td>
  44             <td class="snns plane wine">local typed abstraction *</td>
  45             <td class="snns text wine">Γ ⊢ +λW</td>
  46             <td class="snns text wine">ⓐV</td>
  47             <td class="snns text wine">→β</td>
  48             <td class="snns text wine">no</td>
  49             <td class="ssns text wine">#i</td>
  50           </tr>
  51           <tr>
  52             <td class="nnns text">
  53               <br />
  54             </td>
  55             <td class="snns plane magenta">local typed declaration **</td>
  56             <td class="snns text magenta">Γ ⊢ -λW</td>
  57             <td class="snns text magenta">ⓐV</td>
  58             <td class="snns text magenta">→β</td>
  59             <td class="snns text magenta">no</td>
  60             <td class="ssns text magenta">#i</td>
  61           </tr>
  62           <tr>
  63             <td class="nnns text">
  64               <br />
  65             </td>
  66             <td class="snns plane prune">global typed declaration ***</td>
  67             <td class="snns text prune">Γ ⊢ pλW</td>
  68             <td class="snns text prune">no</td>
  69             <td class="snns text prune">no</td>
  70             <td class="snns text prune">no</td>
  71             <td class="ssns text prune">$p</td>
  72           </tr>
  73           <tr>
  74             <td class="nnns text">
  75               <br />
  76             </td>
  77             <td class="snns plane blue">native type annotation *</td>
  78             <td class="snns text blue">Γ ⊢ ⓝW</td>
  79             <td class="snns text blue">no</td>
  80             <td class="snns text blue">no</td>
  81             <td class="snns text blue">yes</td>
  82             <td class="ssns text blue">no</td>
  83           </tr>
  84           <tr>
  85             <td class="snns text">{X | Γ ⊢ X = V}</td>
  86             <td class="snns plane sky">local abbreviation *</td>
  87             <td class="snns text sky">Γ ⊢ +δV</td>
  88             <td class="snns text sky">no</td>
  89             <td class="snns text sky">local →δ</td>
  90             <td class="snns text sky">yes</td>
  91             <td class="ssns text sky">#i</td>
  92           </tr>
  93           <tr>
  94             <td class="nnns text">
  95               <br />
  96             </td>
  97             <td class="snns plane cyan">local definition **</td>
  98             <td class="snns text cyan">Γ ⊢ -δV</td>
  99             <td class="snns text cyan">no</td>
 100             <td class="snns text cyan">local →δ</td>
 101             <td class="snns text cyan">no</td>
 102             <td class="ssns text cyan">#i</td>
 103           </tr>
 104           <tr>
 105             <td class="nnns text">
 106               <br />
 107             </td>
 108             <td class="snns plane water">global definition ***</td>
 109             <td class="snns text water">Γ ⊢ pδV</td>
 110             <td class="snns text water">no</td>
 111             <td class="snns text water">global →δ</td>
 112             <td class="snns text water">no</td>
 113             <td class="ssns text water">$p</td>
 114           </tr>
 115           <tr>
 116             <td class="snss text">no</td>
 117             <td class="snss plane green">sort ****</td>
 118             <td class="snss text green">Γ ⊢ ⋆k</td>
 119             <td class="snss text green">no</td>
 120             <td class="snss text green">no</td>
 121             <td class="snss text green">no</td>
 122             <td class="ssss text green">no</td>
 123           </tr>
 124         </tbody>
 125       </table>
 126     </div>
 127    <div xmlns:ld="http://lambdadelta.info/" class="text">* In terms only.
 128          ** In terms and local environments only.
 129          *** In global environments only.
 130          **** Sort level k in terms only.
 131    </div>
 132
 133    <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
 134    <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
 135          and its timeline.
 136    </div>
 137    <div xmlns:ld="http://lambdadelta.info/" class="text">
 138       <table cellpadding="4" cellspacing="0">
 139         <tbody>
 140           <tr>
 141             <td class="snns component grey">category</td>
 142             <td class="snns plane grey">objects</td>
 143             <td class="snnn number grey">
 144               <br />
 145             </td>
 146             <td class="snnn plane grey">
 147               <br />
 148             </td>
 149             <td class="snnn number grey">
 150               <br />
 151             </td>
 152             <td class="snnn plane grey">
 153               <br />
 154             </td>
 155             <td class="ssnn number grey">
 156               <br />
 157             </td>
 158           </tr>
 159           <tr>
 160             <td class="snns component cyan">sizes</td>
 161             <td class="snns plane cyan">files</td>
 162             <td class="snnn number cyan">255  </td>
 163             <td class="snns plane cyan">characters</td>
 164             <td class="snnn number cyan">502802</td>
 165             <td class="snns plane cyan">nodes</td>
 166             <td class="ssnn number cyan">1365444</td>
 167           </tr>
 168           <tr>
 169             <td class="snns component green">propositions</td>
 170             <td class="snns plane green">theorems</td>
 171             <td class="snnn number green">89</td>
 172             <td class="snns plane green">lemmas</td>
 173             <td class="snnn number green">1126</td>
 174             <td class="snns plane green">total</td>
 175             <td class="ssnn number green">1215</td>
 176           </tr>
 177           <tr>
 178             <td class="snss component yellow">concepts</td>
 179             <td class="snss plane yellow">declared</td>
 180             <td class="snsn number yellow">48</td>
 181             <td class="snss plane yellow">defined</td>
 182             <td class="snsn number yellow">82</td>
 183             <td class="snss plane yellow">total</td>
 184             <td class="sssn number yellow">130</td>
 185           </tr>
 186         </tbody>
 187       </table>
 188     </div>
 189    <ul xmlns:ld="http://lambdadelta.info/">
 190       <li>
 191         <span class="date">In progress.</span>
 192          Context-sensitive subject equivalence
 193          for native type assignment.
 194    </li>
 195     </ul>
 196    <ul xmlns:ld="http://lambdadelta.info/">
 197       <li>
 198         <span class="date">In progress.</span>
 199          Closure of extended context-sensitive computation
 200          for native validity.
 201    </li>
 202     </ul>
 203    <ul xmlns:ld="http://lambdadelta.info/">
 204       <li>
 205         <span class="date">In progress.</span>
 206          Extended context-sensitive strong normalization
 207          for simply typed terms.
 208    </li>
 209     </ul>
 210    <ul xmlns:ld="http://lambdadelta.info/">
 211       <li>
 212         <span class="date">2013 March 16.</span>
 213          Mutual recursive preservation of stratified native validity
 214          for hyper computation on closures.
 215    </li>
 216     </ul>
 217    <ul xmlns:ld="http://lambdadelta.info/">
 218       <li>
 219         <span class="date">2012 October 16.</span>
 220          Confluence for context-free parallel reduction on closures.
 221    </li>
 222     </ul>
 223    <ul xmlns:ld="http://lambdadelta.info/">
 224       <li>
 225         <span class="date">2012 July 26.</span>
 226          Term binders polarized to control ζ reduction.
 227    </li>
 228     </ul>
 229    <ul xmlns:ld="http://lambdadelta.info/">
 230       <li>
 231         <span class="date">2012 April 16.</span>
 232          Context-sensitive subject equivalence
 233          for atomic arity assignment
 234          (anniversary milestone).
 235    </li>
 236     </ul>
 237    <ul xmlns:ld="http://lambdadelta.info/">
 238       <li>
 239         <span class="date">2012 March 15.</span>
 240          Context-sensitive strong normalization
 241          for simply typed terms.
 242    </li>
 243     </ul>
 244    <ul xmlns:ld="http://lambdadelta.info/">
 245       <li>
 246         <span class="date">2012 January 27.</span>
 247          Support for abstract candidates of reducibility.
 248    </li>
 249     </ul>
 250    <ul xmlns:ld="http://lambdadelta.info/">
 251       <li>
 252         <span class="date">2011 September 21.</span>
 253          Confluence for context-sensitive parallel reduction on terms.
 254    </li>
 255     </ul>
 256    <ul xmlns:ld="http://lambdadelta.info/">
 257       <li>
 258         <span class="date">2011 September 6.</span>
 259          Confluence for context-free parallel reduction on terms.
 260    </li>
 261     </ul>
 262    <ul xmlns:ld="http://lambdadelta.info/">
 263       <li>
 264         <span class="date">2011 April 17.</span>
 265          Specification starts.
 266    </li>
 267     </ul>
 268
 269    <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
 270    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
 271          according to the following table.
 272          A notation file covering the whole specification is provided.
 273          The notation for the relations or functions introduced in each file
 274          is shown in parentheses (? are placeholders).
 275    </div>
 276    <div xmlns:ld="http://lambdadelta.info/" class="text">
 277       <table cellpadding="4" cellspacing="0">
 278         <tbody>
 279           <tr>
 280             <td class="snns component grey">component</td>
 281             <td class="snns plane grey">plane</td>
 282             <td class="snns file grey">files</td>
 283             <td class="snnn file grey">
 284               <br />
 285             </td>
 286             <td class="snnn file grey">
 287               <br />
 288             </td>
 289             <td class="snnn file grey">
 290               <br />
 291             </td>
 292             <td class="ssnn file grey">
 293               <br />
 294             </td>
 295           </tr>
 296           <tr>
 297             <td class="snns component prune">dynamic typing</td>
 298             <td class="snns plane prune">"big tree" parallel computation</td>
 299             <td class="snns file prune">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
 300             <td class="snnn file prune">yprs_yprs</td>
 301             <td class="snnn file prune">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
 302             <td class="snnn file prune">ygt_ygt</td>
 303             <td class="ssnn file prune">
 304               <br />
 305             </td>
 306           </tr>
 307           <tr>
 308             <td class="nnns component prune">
 309               <br />
 310             </td>
 311             <td class="snns plane prune">"big tree" parallel reduction</td>
 312             <td class="snns file prune">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
 313             <td class="snnn file prune">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
 314             <td class="snnn file prune">
 315               <br />
 316             </td>
 317             <td class="snnn file prune">
 318               <br />
 319             </td>
 320             <td class="ssnn file prune">
 321               <br />
 322             </td>
 323           </tr>
 324           <tr>
 325             <td class="nnns component prune">
 326               <br />
 327             </td>
 328             <td class="snns plane prune">local env. ref. for stratified native validity</td>
 329             <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⊑[?] ? )</td>
 330             <td class="snnn file prune">lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</td>
 331             <td class="snnn file prune">
 332               <br />
 333             </td>
 334             <td class="snnn file prune">
 335               <br />
 336             </td>
 337             <td class="ssnn file prune">
 338               <br />
 339             </td>
 340           </tr>
 341           <tr>
 342             <td class="nnns component prune">
 343               <br />
 344             </td>
 345             <td class="snns plane prune">stratified native validity</td>
 346             <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?] )</td>
 347             <td class="snnn file prune">snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs</td>
 348             <td class="snnn file prune">
 349               <br />
 350             </td>
 351             <td class="snnn file prune">
 352               <br />
 353             </td>
 354             <td class="ssnn file prune">
 355               <br />
 356             </td>
 357           </tr>
 358           <tr>
 359             <td class="snns component blue">equivalence</td>
 360             <td class="snns plane blue">focalized equivalence</td>
 361             <td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
 362             <td class="snnn file blue">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
 363             <td class="snnn file blue">
 364               <br />
 365             </td>
 366             <td class="snnn file blue">
 367               <br />
 368             </td>
 369             <td class="ssnn file blue">
 370               <br />
 371             </td>
 372           </tr>
 373           <tr>
 374             <td class="nnns component blue">
 375               <br />
 376             </td>
 377             <td class="nnns plane blue">
 378               <br />
 379             </td>
 380             <td class="snns file blue">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
 381             <td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td>
 382             <td class="snnn file blue">
 383               <br />
 384             </td>
 385             <td class="snnn file blue">
 386               <br />
 387             </td>
 388             <td class="ssnn file blue">
 389               <br />
 390             </td>
 391           </tr>
 392           <tr>
 393             <td class="nnns component blue">
 394               <br />
 395             </td>
 396             <td class="snns plane blue">local env. ref. for stratified static type assignment</td>
 397             <td class="snns file blue">lsubss ( ? •⊑[?] ? )</td>
 398             <td class="snnn file blue">lsubss_ldrop lsubss_ssta lsubss_cpcs</td>
 399             <td class="snnn file blue">
 400               <br />
 401             </td>
 402             <td class="snnn file blue">
 403               <br />
 404             </td>
 405             <td class="ssnn file blue">
 406               <br />
 407             </td>
 408           </tr>
 409           <tr>
 410             <td class="nnns component blue">
 411               <br />
 412             </td>
 413             <td class="snns plane blue">context-sensitive equivalence</td>
 414             <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
 415             <td class="snnn file blue">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
 416             <td class="snnn file blue">
 417               <br />
 418             </td>
 419             <td class="snnn file blue">
 420               <br />
 421             </td>
 422             <td class="ssnn file blue">
 423               <br />
 424             </td>
 425           </tr>
 426           <tr>
 427             <td class="snns component sky">conversion</td>
 428             <td class="snns plane sky">focalized conversion</td>
 429             <td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
 430             <td class="snnn file sky">lfpc_lfpc</td>
 431             <td class="snnn file sky">
 432               <br />
 433             </td>
 434             <td class="snnn file sky">
 435               <br />
 436             </td>
 437             <td class="ssnn file sky">
 438               <br />
 439             </td>
 440           </tr>
 441           <tr>
 442             <td class="nnns component sky">
 443               <br />
 444             </td>
 445             <td class="nnns plane sky">
 446               <br />
 447             </td>
 448             <td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
 449             <td class="snnn file sky">fpc_fpc</td>
 450             <td class="snnn file sky">
 451               <br />
 452             </td>
 453             <td class="snnn file sky">
 454               <br />
 455             </td>
 456             <td class="ssnn file sky">
 457               <br />
 458             </td>
 459           </tr>
 460           <tr>
 461             <td class="nnns component sky">
 462               <br />
 463             </td>
 464             <td class="snns plane sky">context-sensitive conversion</td>
 465             <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
 466             <td class="snnn file sky">cpc_cpc</td>
 467             <td class="snnn file sky">
 468               <br />
 469             </td>
 470             <td class="snnn file sky">
 471               <br />
 472             </td>
 473             <td class="ssnn file sky">
 474               <br />
 475             </td>
 476           </tr>
 477           <tr>
 478             <td class="snns component cyan">computation</td>
 479             <td class="snns plane cyan">focalized computation</td>
 480             <td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
 481             <td class="snnn file cyan">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
 482             <td class="snnn file cyan">
 483               <br />
 484             </td>
 485             <td class="snnn file cyan">
 486               <br />
 487             </td>
 488             <td class="ssnn file cyan">
 489               <br />
 490             </td>
 491           </tr>
 492           <tr>
 493             <td class="nnns component cyan">
 494               <br />
 495             </td>
 496             <td class="nnns plane cyan">
 497               <br />
 498             </td>
 499             <td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
 500             <td class="snnn file cyan">fprs_aaa fprs_fprs</td>
 501             <td class="snnn file cyan">
 502               <br />
 503             </td>
 504             <td class="snnn file cyan">
 505               <br />
 506             </td>
 507             <td class="ssnn file cyan">
 508               <br />
 509             </td>
 510           </tr>
 511           <tr>
 512             <td class="nnns component cyan">
 513               <br />
 514             </td>
 515             <td class="snns plane cyan">decomposed extended computation</td>
 516             <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
 517             <td class="snnn file cyan">dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxprs_dxprs</td>
 518             <td class="snnn file cyan">
 519               <br />
 520             </td>
 521             <td class="snnn file cyan">
 522               <br />
 523             </td>
 524             <td class="ssnn file cyan">
 525               <br />
 526             </td>
 527           </tr>
 528           <tr>
 529             <td class="nnns component cyan">
 530               <br />
 531             </td>
 532             <td class="snns plane cyan">weakly normalizing computation</td>
 533             <td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
 534             <td class="snnn file cyan">cpe_cpe</td>
 535             <td class="snnn file cyan">
 536               <br />
 537             </td>
 538             <td class="snnn file cyan">
 539               <br />
 540             </td>
 541             <td class="ssnn file cyan">
 542               <br />
 543             </td>
 544           </tr>
 545           <tr>
 546             <td class="nnns component cyan">
 547               <br />
 548             </td>
 549             <td class="snns plane cyan">strongly normalizing computation</td>
 550             <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
 551             <td class="snnn file cyan">csn_cpr_vector csn_tstc_vector csn_aaa</td>
 552             <td class="snnn file cyan">
 553               <br />
 554             </td>
 555             <td class="snnn file cyan">
 556               <br />
 557             </td>
 558             <td class="ssnn file cyan">
 559               <br />
 560             </td>
 561           </tr>
 562           <tr>
 563             <td class="nnns component cyan">
 564               <br />
 565             </td>
 566             <td class="nnns plane cyan">
 567               <br />
 568             </td>
 569             <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
 570             <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
 571             <td class="snnn file cyan">csn_lift csn_cpr csn_lfpr</td>
 572             <td class="snnn file cyan">
 573               <br />
 574             </td>
 575             <td class="ssnn file cyan">
 576               <br />
 577             </td>
 578           </tr>
 579           <tr>
 580             <td class="nnns component cyan">
 581               <br />
 582             </td>
 583             <td class="snns plane cyan">context-sensitive computation</td>
 584             <td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td>
 585             <td class="snnn file cyan">cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td>
 586             <td class="snnn file cyan">
 587               <br />
 588             </td>
 589             <td class="snnn file cyan">
 590               <br />
 591             </td>
 592             <td class="ssnn file cyan">
 593               <br />
 594             </td>
 595           </tr>
 596           <tr>
 597             <td class="nnns component cyan">
 598               <br />
 599             </td>
 600             <td class="snns plane cyan">context-free computation</td>
 601             <td class="snns file cyan">ltprs ( ? ➡* ? )</td>
 602             <td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td>
 603             <td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td>
 604             <td class="snnn file cyan">
 605               <br />
 606             </td>
 607             <td class="ssnn file cyan">
 608               <br />
 609             </td>
 610           </tr>
 611           <tr>
 612             <td class="nnns component cyan">
 613               <br />
 614             </td>
 615             <td class="nnns plane cyan">
 616               <br />
 617             </td>
 618             <td class="snns file cyan">tprs ( ? ➡* ?)</td>
 619             <td class="snnn file cyan">tprs_lift tprs_tprs</td>
 620             <td class="snnn file cyan">
 621               <br />
 622             </td>
 623             <td class="snnn file cyan">
 624               <br />
 625             </td>
 626             <td class="ssnn file cyan">
 627               <br />
 628             </td>
 629           </tr>
 630           <tr>
 631             <td class="nnns component cyan">
 632               <br />
 633             </td>
 634             <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
 635             <td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td>
 636             <td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
 637             <td class="snnn file cyan">
 638               <br />
 639             </td>
 640             <td class="snnn file cyan">
 641               <br />
 642             </td>
 643             <td class="ssnn file cyan">
 644               <br />
 645             </td>
 646           </tr>
 647           <tr>
 648             <td class="nnns component cyan">
 649               <br />
 650             </td>
 651             <td class="snns plane cyan">support for abstract computation properties</td>
 652             <td class="snns file cyan">acp</td>
 653             <td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
 654             <td class="snnn file cyan">acp_aaa</td>
 655             <td class="snnn file cyan">
 656               <br />
 657             </td>
 658             <td class="ssnn file cyan">
 659               <br />
 660             </td>
 661           </tr>
 662           <tr>
 663             <td class="snns component water">reducibility</td>
 664             <td class="snns plane water">context-sensitive focalized reduction</td>
 665             <td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
 666             <td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
 667             <td class="snnn file water">
 668               <br />
 669             </td>
 670             <td class="snnn file water">
 671               <br />
 672             </td>
 673             <td class="ssnn file water">
 674               <br />
 675             </td>
 676           </tr>
 677           <tr>
 678             <td class="nnns component water">
 679               <br />
 680             </td>
 681             <td class="snns plane water">context-free focalized reduction</td>
 682             <td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
 683             <td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
 684             <td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
 685             <td class="snnn file water">
 686               <br />
 687             </td>
 688             <td class="ssnn file water">
 689               <br />
 690             </td>
 691           </tr>
 692           <tr>
 693             <td class="nnns component water">
 694               <br />
 695             </td>
 696             <td class="nnns plane water">
 697               <br />
 698             </td>
 699             <td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
 700             <td class="snnn file water">fpr_cpr fpr_fpr</td>
 701             <td class="snnn file water">
 702               <br />
 703             </td>
 704             <td class="snnn file water">
 705               <br />
 706             </td>
 707             <td class="ssnn file water">
 708               <br />
 709             </td>
 710           </tr>
 711           <tr>
 712             <td class="nnns component water">
 713               <br />
 714             </td>
 715             <td class="snns plane water">context-sensitive normal forms</td>
 716             <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
 717             <td class="snnn file water">cnf_lift cnf_cif</td>
 718             <td class="snnn file water">
 719               <br />
 720             </td>
 721             <td class="snnn file water">
 722               <br />
 723             </td>
 724             <td class="ssnn file water">
 725               <br />
 726             </td>
 727           </tr>
 728           <tr>
 729             <td class="nnns component water">
 730               <br />
 731             </td>
 732             <td class="snns plane water">context-sensitive reduction</td>
 733             <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
 734             <td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
 735             <td class="snnn file water">
 736               <br />
 737             </td>
 738             <td class="snnn file water">
 739               <br />
 740             </td>
 741             <td class="ssnn file water">
 742               <br />
 743             </td>
 744           </tr>
 745           <tr>
 746             <td class="nnns component water">
 747               <br />
 748             </td>
 749             <td class="snns plane water">context-sensitive reducible forms</td>
 750             <td class="snns file water">crf ( ? ⊢ 𝐑⦃?⦄ )</td>
 751             <td class="snnn file water">crf_append</td>
 752             <td class="snnn file water">cif ( ? ⊢ 𝐈⦃?⦄ )</td>
 753             <td class="snnn file water">cif_append</td>
 754             <td class="ssnn file water">
 755               <br />
 756             </td>
 757           </tr>
 758           <tr>
 759             <td class="nnns component water">
 760               <br />
 761             </td>
 762             <td class="snns plane water">context-free normal forms</td>
 763             <td class="snns file water">thnf ( 𝐇𝐍⦃?⦄ )</td>
 764             <td class="snnn file water">
 765               <br />
 766             </td>
 767             <td class="snnn file water">
 768               <br />
 769             </td>
 770             <td class="snnn file water">
 771               <br />
 772             </td>
 773             <td class="ssnn file water">
 774               <br />
 775             </td>
 776           </tr>
 777           <tr>
 778             <td class="nnns component water">
 779               <br />
 780             </td>
 781             <td class="snns plane water">context-free reduction</td>
 782             <td class="snns file water">ltpr ( ? ➡ ? )</td>
 783             <td class="snnn file water">ltpr_ldrop ltpr_tps ltpr_tpss ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
 784             <td class="snnn file water">
 785               <br />
 786             </td>
 787             <td class="snnn file water">
 788               <br />
 789             </td>
 790             <td class="ssnn file water">
 791               <br />
 792             </td>
 793           </tr>
 794           <tr>
 795             <td class="nnns component water">
 796               <br />
 797             </td>
 798             <td class="nnns plane water">
 799               <br />
 800             </td>
 801             <td class="snns file water">tpr ( ? ➡ ? )</td>
 802             <td class="snnn file water">tpr_lift tpr_delift tpr_tpr</td>
 803             <td class="snnn file water">
 804               <br />
 805             </td>
 806             <td class="snnn file water">
 807               <br />
 808             </td>
 809             <td class="ssnn file water">
 810               <br />
 811             </td>
 812           </tr>
 813           <tr>
 814             <td class="snns component green">unwind</td>
 815             <td class="snns plane green">iterated stratified static type assignment</td>
 816             <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
 817             <td class="snnn file green">sstas_lift sstas_ltpss_dx sstas_ltpss_sn sstas_aaa sstas_sstas</td>
 818             <td class="snnn file green">
 819               <br />
 820             </td>
 821             <td class="snnn file green">
 822               <br />
 823             </td>
 824             <td class="ssnn file green">
 825               <br />
 826             </td>
 827           </tr>
 828           <tr>
 829             <td class="snns component grass">static typing</td>
 830             <td class="snns plane grass">stratified static type assignment</td>
 831             <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
 832             <td class="snnn file grass">ssta_lift ssta_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td>
 833             <td class="snnn file grass">
 834               <br />
 835             </td>
 836             <td class="snnn file grass">
 837               <br />
 838             </td>
 839             <td class="ssnn file grass">
 840               <br />
 841             </td>
 842           </tr>
 843           <tr>
 844             <td class="nnns component grass">
 845               <br />
 846             </td>
 847             <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
 848             <td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td>
 849             <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
 850             <td class="snnn file grass">
 851               <br />
 852             </td>
 853             <td class="snnn file grass">
 854               <br />
 855             </td>
 856             <td class="ssnn file grass">
 857               <br />
 858             </td>
 859           </tr>
 860           <tr>
 861             <td class="nnns component grass">
 862               <br />
 863             </td>
 864             <td class="snns plane grass">atomic arity assignment</td>
 865             <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
 866             <td class="snnn file grass">aaa_lift aaa_lifts aaa_ltpss_dx aaa_ltpss_sn aaa_aaa</td>
 867             <td class="snnn file grass">
 868               <br />
 869             </td>
 870             <td class="snnn file grass">
 871               <br />
 872             </td>
 873             <td class="ssnn file grass">
 874               <br />
 875             </td>
 876           </tr>
 877           <tr>
 878             <td class="nnns component grass">
 879               <br />
 880             </td>
 881             <td class="snns plane grass">parameters</td>
 882             <td class="snns file grass">sh</td>
 883             <td class="snnn file grass">sd</td>
 884             <td class="snnn file grass">
 885               <br />
 886             </td>
 887             <td class="snnn file grass">
 888               <br />
 889             </td>
 890             <td class="ssnn file grass">
 891               <br />
 892             </td>
 893           </tr>
 894           <tr>
 895             <td class="snns component yellow">unfold</td>
 896             <td class="snns plane yellow">basic local env. thinning</td>
 897             <td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td>
 898             <td class="snnn file yellow">thin_ldrop thin_delift</td>
 899             <td class="snnn file yellow">
 900               <br />
 901             </td>
 902             <td class="snnn file yellow">
 903               <br />
 904             </td>
 905             <td class="ssnn file yellow">
 906               <br />
 907             </td>
 908           </tr>
 909           <tr>
 910             <td class="nnns component yellow">
 911               <br />
 912             </td>
 913             <td class="snns plane yellow">inverse basic term relocation</td>
 914             <td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td>
 915             <td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td>
 916             <td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td>
 917             <td class="snnn file yellow">
 918               <br />
 919             </td>
 920             <td class="ssnn file yellow">
 921               <br />
 922             </td>
 923           </tr>
 924           <tr>
 925             <td class="nnns component yellow">
 926               <br />
 927             </td>
 928             <td class="snns plane yellow">revised parallel substitution</td>
 929             <td class="snns file yellow">lcpss ( ? ⊢ ▶* ? )</td>
 930             <td class="snnn file yellow">lcpss_ldrop lcpss_cpss lcpss_lcpss</td>
 931             <td class="snnn file yellow">
 932               <br />
 933             </td>
 934             <td class="snnn file yellow">
 935               <br />
 936             </td>
 937             <td class="ssnn file yellow">
 938               <br />
 939             </td>
 940           </tr>
 941           <tr>
 942             <td class="nnns component yellow">
 943               <br />
 944             </td>
 945             <td class="nnns plane yellow">
 946               <br />
 947             </td>
 948             <td class="snns file yellow">cpss ( ? ⊢ ? ▶* ? )</td>
 949             <td class="snnn file yellow">cpss_lift</td>
 950             <td class="snnn file yellow">
 951               <br />
 952             </td>
 953             <td class="snnn file yellow">
 954               <br />
 955             </td>
 956             <td class="ssnn file yellow">
 957               <br />
 958             </td>
 959           </tr>
 960           <tr>
 961             <td class="nnns component yellow">
 962               <br />
 963             </td>
 964             <td class="snns plane yellow">partial unfold</td>
 965             <td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td>
 966             <td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td>
 967             <td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</td>
 968             <td class="snnn file yellow">
 969               <br />
 970             </td>
 971             <td class="ssnn file yellow">
 972               <br />
 973             </td>
 974           </tr>
 975           <tr>
 976             <td class="nnns component yellow">
 977               <br />
 978             </td>
 979             <td class="nnns plane yellow">
 980               <br />
 981             </td>
 982             <td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td>
 983             <td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td>
 984             <td class="snnn file yellow">
 985               <br />
 986             </td>
 987             <td class="snnn file yellow">
 988               <br />
 989             </td>
 990             <td class="ssnn file yellow">
 991               <br />
 992             </td>
 993           </tr>
 994           <tr>
 995             <td class="nnns component yellow">
 996               <br />
 997             </td>
 998             <td class="nnns plane yellow">
 999               <br />
1000             </td>
1001             <td class="snns file yellow">tpss ( ? ⊢ ? ▶*[?,?] ? )</td>
1002             <td class="snnn file yellow">tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )</td>
1003             <td class="snnn file yellow">tpss_lift</td>
1004             <td class="snnn file yellow">tpss_tpss</td>
1005             <td class="ssnn file yellow">
1006               <br />
1007             </td>
1008           </tr>
1009           <tr>
1010             <td class="nnns component yellow">
1011               <br />
1012             </td>
1013             <td class="snns plane yellow">iterated structural successor for closures</td>
1014             <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
1015             <td class="snnn file yellow">fsupp_fsupp</td>
1016             <td class="snnn file yellow">
1017               <br />
1018             </td>
1019             <td class="snnn file yellow">
1020               <br />
1021             </td>
1022             <td class="ssnn file yellow">
1023               <br />
1024             </td>
1025           </tr>
1026           <tr>
1027             <td class="nnns component yellow">
1028               <br />
1029             </td>
1030             <td class="snns plane yellow">generic local env. slicing</td>
1031             <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
1032             <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
1033             <td class="snnn file yellow">
1034               <br />
1035             </td>
1036             <td class="snnn file yellow">
1037               <br />
1038             </td>
1039             <td class="ssnn file yellow">
1040               <br />
1041             </td>
1042           </tr>
1043           <tr>
1044             <td class="nnns component yellow">
1045               <br />
1046             </td>
1047             <td class="snns plane yellow">generic term relocation</td>
1048             <td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td>
1049             <td class="snnn file yellow">lifts_lift_vector</td>
1050             <td class="snnn file yellow">
1051               <br />
1052             </td>
1053             <td class="snnn file yellow">
1054               <br />
1055             </td>
1056             <td class="ssnn file yellow">
1057               <br />
1058             </td>
1059           </tr>
1060           <tr>
1061             <td class="nnns component yellow">
1062               <br />
1063             </td>
1064             <td class="nnns plane yellow">
1065               <br />
1066             </td>
1067             <td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td>
1068             <td class="snnn file yellow">lifts_lift lifts_lifts</td>
1069             <td class="snnn file yellow">
1070               <br />
1071             </td>
1072             <td class="snnn file yellow">
1073               <br />
1074             </td>
1075             <td class="ssnn file yellow">
1076               <br />
1077             </td>
1078           </tr>
1079           <tr>
1080             <td class="nnns component yellow">
1081               <br />
1082             </td>
1083             <td class="snns plane yellow">support for generic relocation</td>
1084             <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
1085             <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
1086             <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
1087             <td class="snnn file yellow">gr2_gr2</td>
1088             <td class="ssnn file yellow">
1089               <br />
1090             </td>
1091           </tr>
1092           <tr>
1093             <td class="snns component orange">substitution</td>
1094             <td class="snns plane orange">parallel substitution</td>
1095             <td class="snns file orange">tps ( ? ⊢ ? ▶[?,?] ? )</td>
1096             <td class="snnn file orange">tps_lift tps_tps</td>
1097             <td class="snnn file orange">
1098               <br />
1099             </td>
1100             <td class="snnn file orange">
1101               <br />
1102             </td>
1103             <td class="ssnn file orange">
1104               <br />
1105             </td>
1106           </tr>
1107           <tr>
1108             <td class="nnns component orange">
1109               <br />
1110             </td>
1111             <td class="snns plane orange">structural successor for closures</td>
1112             <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
1113             <td class="snnn file orange">
1114               <br />
1115             </td>
1116             <td class="snnn file orange">
1117               <br />
1118             </td>
1119             <td class="snnn file orange">
1120               <br />
1121             </td>
1122             <td class="ssnn file orange">
1123               <br />
1124             </td>
1125           </tr>
1126           <tr>
1127             <td class="nnns component orange">
1128               <br />
1129             </td>
1130             <td class="snns plane orange">global env. slicing</td>
1131             <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
1132             <td class="snnn file orange">gdrop_gdrop</td>
1133             <td class="snnn file orange">
1134               <br />
1135             </td>
1136             <td class="snnn file orange">
1137               <br />
1138             </td>
1139             <td class="ssnn file orange">
1140               <br />
1141             </td>
1142           </tr>
1143           <tr>
1144             <td class="nnns component orange">
1145               <br />
1146             </td>
1147             <td class="snns plane orange">basic local env. slicing</td>
1148             <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
1149             <td class="snnn file orange">ldrop_append ldrop_lpx ldrop_lbotr ldrop_ldrop</td>
1150             <td class="snnn file orange">
1151               <br />
1152             </td>
1153             <td class="snnn file orange">
1154               <br />
1155             </td>
1156             <td class="ssnn file orange">
1157               <br />
1158             </td>
1159           </tr>
1160           <tr>
1161             <td class="nnns component orange">
1162               <br />
1163             </td>
1164             <td class="snns plane orange">local env. ref. for substitution</td>
1165             <td class="snns file orange">lsubr ( ? ⊑[?,?] ? )</td>
1166             <td class="snnn file orange">(lsubr_lsubr)</td>
1167             <td class="snnn file orange">lsubr_lbotr ( ⊒[?,?] ? )</td>
1168             <td class="snnn file orange">
1169               <br />
1170             </td>
1171             <td class="ssnn file orange">
1172               <br />
1173             </td>
1174           </tr>
1175           <tr>
1176             <td class="nnns component orange">
1177               <br />
1178             </td>
1179             <td class="snns plane orange">basic term relocation</td>
1180             <td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td>
1181             <td class="snnn file orange">lift_lift_vector</td>
1182             <td class="snnn file orange">
1183               <br />
1184             </td>
1185             <td class="snnn file orange">
1186               <br />
1187             </td>
1188             <td class="ssnn file orange">
1189               <br />
1190             </td>
1191           </tr>
1192           <tr>
1193             <td class="nnns component orange">
1194               <br />
1195             </td>
1196             <td class="nnns plane orange">
1197               <br />
1198             </td>
1199             <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
1200             <td class="snnn file orange">lift_lift</td>
1201             <td class="snnn file orange">
1202               <br />
1203             </td>
1204             <td class="snnn file orange">
1205               <br />
1206             </td>
1207             <td class="ssnn file orange">
1208               <br />
1209             </td>
1210           </tr>
1211           <tr>
1212             <td class="snns component red">grammar</td>
1213             <td class="snns plane red">same head term form</td>
1214             <td class="snns file red">tshf ( ? ≈ ? )</td>
1215             <td class="snnn file red">(tshf_tshf)</td>
1216             <td class="snnn file red">
1217               <br />
1218             </td>
1219             <td class="snnn file red">
1220               <br />
1221             </td>
1222             <td class="ssnn file red">
1223               <br />
1224             </td>
1225           </tr>
1226           <tr>
1227             <td class="nnns component red">
1228               <br />
1229             </td>
1230             <td class="snns plane red">same top term constructor</td>
1231             <td class="snns file red">tstc ( ? ≃ ? )</td>
1232             <td class="snnn file red">tstc_tstc tstc_vector</td>
1233             <td class="snnn file red">
1234               <br />
1235             </td>
1236             <td class="snnn file red">
1237               <br />
1238             </td>
1239             <td class="ssnn file red">
1240               <br />
1241             </td>
1242           </tr>
1243           <tr>
1244             <td class="nnns component red">
1245               <br />
1246             </td>
1247             <td class="snns plane red">closures</td>
1248             <td class="snns file red">cl_shift ( ? @@ ? )</td>
1249             <td class="snnn file red">cl_weight ( ♯{?,?} )</td>
1250             <td class="snnn file red">
1251               <br />
1252             </td>
1253             <td class="snnn file red">
1254               <br />
1255             </td>
1256             <td class="ssnn file red">
1257               <br />
1258             </td>
1259           </tr>
1260           <tr>
1261             <td class="nnns component red">
1262               <br />
1263             </td>
1264             <td class="snns plane red">internal syntax</td>
1265             <td class="snns file red">genv</td>
1266             <td class="snnn file red">
1267               <br />
1268             </td>
1269             <td class="snnn file red">
1270               <br />
1271             </td>
1272             <td class="snnn file red">
1273               <br />
1274             </td>
1275             <td class="ssnn file red">
1276               <br />
1277             </td>
1278           </tr>
1279           <tr>
1280             <td class="nnns component red">
1281               <br />
1282             </td>
1283             <td class="nnns plane red">
1284               <br />
1285             </td>
1286             <td class="snns file red">lenv</td>
1287             <td class="snnn file red">lenv_weight ( ♯{?} )</td>
1288             <td class="snnn file red">lenv_length ( |?| )</td>
1289             <td class="snnn file red">lenv_append ( ? @@ ? )</td>
1290             <td class="ssnn file red">lenv_px lenv_px_bi</td>
1291           </tr>
1292           <tr>
1293             <td class="nnns component red">
1294               <br />
1295             </td>
1296             <td class="nnns plane red">
1297               <br />
1298             </td>
1299             <td class="snns file red">term</td>
1300             <td class="snnn file red">term_weight ( ♯{?} )</td>
1301             <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
1302             <td class="snnn file red">term_vector</td>
1303             <td class="ssnn file red">
1304               <br />
1305             </td>
1306           </tr>
1307           <tr>
1308             <td class="nnns component red">
1309               <br />
1310             </td>
1311             <td class="nnns plane red">
1312               <br />
1313             </td>
1314             <td class="snns file red">item</td>
1315             <td class="snnn file red">
1316               <br />
1317             </td>
1318             <td class="snnn file red">
1319               <br />
1320             </td>
1321             <td class="snnn file red">
1322               <br />
1323             </td>
1324             <td class="ssnn file red">
1325               <br />
1326             </td>
1327           </tr>
1328           <tr>
1329             <td class="nnss component red">
1330               <br />
1331             </td>
1332             <td class="snss plane red">external syntax</td>
1333             <td class="snss file red">aarity</td>
1334             <td class="snsn file red">
1335               <br />
1336             </td>
1337             <td class="snsn file red">
1338               <br />
1339             </td>
1340             <td class="snsn file red">
1341               <br />
1342             </td>
1343             <td class="sssn file red">
1344               <br />
1345             </td>
1346           </tr>
1347         </tbody>
1348       </table>
1349     </div>
1350
1351    <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
1352    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
1353          one for each component.
1354    </div>
1355    <div class="spacer">
1356       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
1357     </div>
1358     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1359       <br />
1360     </div>
1361     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1362       <a href="http://validator.w3.org/check?uri=referer">
1363         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
1364       </a>
1365       <a href="http://jigsaw.w3.org/css-validator/check/referer">
1366         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
1367       </a>
1368       <a href="http://www.w3.org/XML/">
1369         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
1370       </a>
1371       <a href="http://www.w3.org/Graphics/PNG/">
1372         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
1373       </a>
1374       <a href="http://www.anybrowser.org/campaign/">
1375         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
1376       </a>
1377     </div>
1378     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1379       <br />
1380     </div>
1381     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 05 Apr 2013 14:24:38 +0200</div>
1382 </body>
1383 </html>