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">254  </td>
 163             <td class="snns plane cyan">characters</td>
 164             <td class="snnn number cyan">485487</td>
 165             <td class="snns plane cyan">nodes</td>
 166             <td class="ssnn number cyan">1296792</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">85</td>
 172             <td class="snns plane green">lemmas</td>
 173             <td class="snnn number green">1122</td>
 174             <td class="snns plane green">total</td>
 175             <td class="ssnn number green">1207</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">46</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">128</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">2012 October 16.</span>
 213          Confluence for context-free parallel reduction on closures.
 214    </li>
 215     </ul>
 216    <ul xmlns:ld="http://lambdadelta.info/">
 217       <li>
 218         <span class="date">2012 July 26.</span>
 219          Term binders polarized to control ζ reduction.
 220    </li>
 221     </ul>
 222    <ul xmlns:ld="http://lambdadelta.info/">
 223       <li>
 224         <span class="date">2012 April 16.</span>
 225          Context-sensitive subject equivalence
 226          for atomic arity assignment
 227          (anniversary milestone).
 228    </li>
 229     </ul>
 230    <ul xmlns:ld="http://lambdadelta.info/">
 231       <li>
 232         <span class="date">2012 March 15.</span>
 233          Context-sensitive strong normalization
 234          for simply typed terms.
 235    </li>
 236     </ul>
 237    <ul xmlns:ld="http://lambdadelta.info/">
 238       <li>
 239         <span class="date">2012 January 27.</span>
 240          Support for abstract candidates of reducibility.
 241    </li>
 242     </ul>
 243    <ul xmlns:ld="http://lambdadelta.info/">
 244       <li>
 245         <span class="date">2011 September 21.</span>
 246          Confluence for context-sensitive parallel reduction on terms.
 247    </li>
 248     </ul>
 249    <ul xmlns:ld="http://lambdadelta.info/">
 250       <li>
 251         <span class="date">2011 September 6.</span>
 252          Confluence for context-free parallel reduction on terms.
 253    </li>
 254     </ul>
 255    <ul xmlns:ld="http://lambdadelta.info/">
 256       <li>
 257         <span class="date">2011 April 17.</span>
 258          Specification starts.
 259    </li>
 260     </ul>
 261
 262    <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
 263    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
 264          according to the following table.
 265          A notation file covering the whole specification is provided.
 266          The notation for the relations or functions introduced in each file
 267          is shown in parentheses (? are placeholders).
 268    </div>
 269    <div xmlns:ld="http://lambdadelta.info/" class="text">
 270       <table cellpadding="4" cellspacing="0">
 271         <tbody>
 272           <tr>
 273             <td class="snns component grey">component</td>
 274             <td class="snns plane grey">plane</td>
 275             <td class="snns file grey">files</td>
 276             <td class="snnn file grey">
 277               <br />
 278             </td>
 279             <td class="snnn file grey">
 280               <br />
 281             </td>
 282             <td class="snnn file grey">
 283               <br />
 284             </td>
 285             <td class="ssnn file grey">
 286               <br />
 287             </td>
 288           </tr>
 289           <tr>
 290             <td class="snns component prune">dynamic typing</td>
 291             <td class="snns plane prune">local env. ref. for stratified native validity</td>
 292             <td class="snns file prune">lsubsv ( ? ⊢ ? ⊩:⊑[?] ? )</td>
 293             <td class="snnn file prune">lsubsv_ldrop lsubsv_ssta lsubsv_cpcs lsubsv_snv</td>
 294             <td class="snnn file prune">
 295               <br />
 296             </td>
 297             <td class="snnn file prune">
 298               <br />
 299             </td>
 300             <td class="ssnn file prune">
 301               <br />
 302             </td>
 303           </tr>
 304           <tr>
 305             <td class="nnns component prune">
 306               <br />
 307             </td>
 308             <td class="snns plane prune">stratified native validity</td>
 309             <td class="snns file prune">snv ( ⦃?,?⦄ ⊩ ? :[?] )</td>
 310             <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>
 311             <td class="snnn file prune">
 312               <br />
 313             </td>
 314             <td class="snnn file prune">
 315               <br />
 316             </td>
 317             <td class="ssnn file prune">
 318               <br />
 319             </td>
 320           </tr>
 321           <tr>
 322             <td class="snns component blue">equivalence</td>
 323             <td class="snns plane blue">focalized equivalence</td>
 324             <td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
 325             <td class="snnn file blue">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
 326             <td class="snnn file blue">
 327               <br />
 328             </td>
 329             <td class="snnn file blue">
 330               <br />
 331             </td>
 332             <td class="ssnn file blue">
 333               <br />
 334             </td>
 335           </tr>
 336           <tr>
 337             <td class="nnns component blue">
 338               <br />
 339             </td>
 340             <td class="nnns plane blue">
 341               <br />
 342             </td>
 343             <td class="snns file blue">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
 344             <td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td>
 345             <td class="snnn file blue">
 346               <br />
 347             </td>
 348             <td class="snnn file blue">
 349               <br />
 350             </td>
 351             <td class="ssnn file blue">
 352               <br />
 353             </td>
 354           </tr>
 355           <tr>
 356             <td class="nnns component blue">
 357               <br />
 358             </td>
 359             <td class="snns plane blue">local env. ref. for context-sensitive equivalence</td>
 360             <td class="snns file blue">lsubse ( ? ⊢•⊑[?] ? )</td>
 361             <td class="snnn file blue">lsubse_ldrop lsubse_ssta lsubse_cpcs</td>
 362             <td class="snnn file blue">
 363               <br />
 364             </td>
 365             <td class="snnn file blue">
 366               <br />
 367             </td>
 368             <td class="ssnn file blue">
 369               <br />
 370             </td>
 371           </tr>
 372           <tr>
 373             <td class="nnns component blue">
 374               <br />
 375             </td>
 376             <td class="snns plane blue">context-sensitive equivalence</td>
 377             <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
 378             <td class="snnn file blue">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
 379             <td class="snnn file blue">
 380               <br />
 381             </td>
 382             <td class="snnn file blue">
 383               <br />
 384             </td>
 385             <td class="ssnn file blue">
 386               <br />
 387             </td>
 388           </tr>
 389           <tr>
 390             <td class="snns component sky">conversion</td>
 391             <td class="snns plane sky">focalized conversion</td>
 392             <td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
 393             <td class="snnn file sky">lfpc_lfpc</td>
 394             <td class="snnn file sky">
 395               <br />
 396             </td>
 397             <td class="snnn file sky">
 398               <br />
 399             </td>
 400             <td class="ssnn file sky">
 401               <br />
 402             </td>
 403           </tr>
 404           <tr>
 405             <td class="nnns component sky">
 406               <br />
 407             </td>
 408             <td class="nnns plane sky">
 409               <br />
 410             </td>
 411             <td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
 412             <td class="snnn file sky">fpc_fpc</td>
 413             <td class="snnn file sky">
 414               <br />
 415             </td>
 416             <td class="snnn file sky">
 417               <br />
 418             </td>
 419             <td class="ssnn file sky">
 420               <br />
 421             </td>
 422           </tr>
 423           <tr>
 424             <td class="nnns component sky">
 425               <br />
 426             </td>
 427             <td class="snns plane sky">context-sensitive conversion</td>
 428             <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
 429             <td class="snnn file sky">cpc_cpc</td>
 430             <td class="snnn file sky">
 431               <br />
 432             </td>
 433             <td class="snnn file sky">
 434               <br />
 435             </td>
 436             <td class="ssnn file sky">
 437               <br />
 438             </td>
 439           </tr>
 440           <tr>
 441             <td class="snns component cyan">computation</td>
 442             <td class="snns plane cyan">focalized computation</td>
 443             <td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
 444             <td class="snnn file cyan">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
 445             <td class="snnn file cyan">
 446               <br />
 447             </td>
 448             <td class="snnn file cyan">
 449               <br />
 450             </td>
 451             <td class="ssnn file cyan">
 452               <br />
 453             </td>
 454           </tr>
 455           <tr>
 456             <td class="nnns component cyan">
 457               <br />
 458             </td>
 459             <td class="nnns plane cyan">
 460               <br />
 461             </td>
 462             <td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
 463             <td class="snnn file cyan">fprs_aaa fprs_fprs</td>
 464             <td class="snnn file cyan">
 465               <br />
 466             </td>
 467             <td class="snnn file cyan">
 468               <br />
 469             </td>
 470             <td class="ssnn file cyan">
 471               <br />
 472             </td>
 473           </tr>
 474           <tr>
 475             <td class="nnns component cyan">
 476               <br />
 477             </td>
 478             <td class="snns plane cyan">"big tree" parallel computation</td>
 479             <td class="snns file cyan">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
 480             <td class="snnn file cyan">yprs_yprs</td>
 481             <td class="snnn file cyan">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
 482             <td class="snnn file cyan">ygt_ygt</td>
 483             <td class="ssnn file cyan">
 484               <br />
 485             </td>
 486           </tr>
 487           <tr>
 488             <td class="nnns component cyan">
 489               <br />
 490             </td>
 491             <td class="snns plane cyan">decomposed extended computation</td>
 492             <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
 493             <td class="snnn file cyan">dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxpr_lsubss dxprs_dxprs</td>
 494             <td class="snnn file cyan">
 495               <br />
 496             </td>
 497             <td class="snnn file cyan">
 498               <br />
 499             </td>
 500             <td class="ssnn file cyan">
 501               <br />
 502             </td>
 503           </tr>
 504           <tr>
 505             <td class="nnns component cyan">
 506               <br />
 507             </td>
 508             <td class="snns plane cyan">weakly normalizing computation</td>
 509             <td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
 510             <td class="snnn file cyan">cpe_cpe</td>
 511             <td class="snnn file cyan">
 512               <br />
 513             </td>
 514             <td class="snnn file cyan">
 515               <br />
 516             </td>
 517             <td class="ssnn file cyan">
 518               <br />
 519             </td>
 520           </tr>
 521           <tr>
 522             <td class="nnns component cyan">
 523               <br />
 524             </td>
 525             <td class="snns plane cyan">strongly normalizing computation</td>
 526             <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
 527             <td class="snnn file cyan">csn_cpr_vector csn_tstc_vector csn_aaa</td>
 528             <td class="snnn file cyan">
 529               <br />
 530             </td>
 531             <td class="snnn file cyan">
 532               <br />
 533             </td>
 534             <td class="ssnn file cyan">
 535               <br />
 536             </td>
 537           </tr>
 538           <tr>
 539             <td class="nnns component cyan">
 540               <br />
 541             </td>
 542             <td class="nnns plane cyan">
 543               <br />
 544             </td>
 545             <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
 546             <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
 547             <td class="snnn file cyan">csn_lift csn_cpr csn_lfpr</td>
 548             <td class="snnn file cyan">
 549               <br />
 550             </td>
 551             <td class="ssnn file cyan">
 552               <br />
 553             </td>
 554           </tr>
 555           <tr>
 556             <td class="nnns component cyan">
 557               <br />
 558             </td>
 559             <td class="snns plane cyan">context-sensitive computation</td>
 560             <td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td>
 561             <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>
 562             <td class="snnn file cyan">
 563               <br />
 564             </td>
 565             <td class="snnn file cyan">
 566               <br />
 567             </td>
 568             <td class="ssnn file cyan">
 569               <br />
 570             </td>
 571           </tr>
 572           <tr>
 573             <td class="nnns component cyan">
 574               <br />
 575             </td>
 576             <td class="snns plane cyan">context-free computation</td>
 577             <td class="snns file cyan">ltprs ( ? ➡* ? )</td>
 578             <td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td>
 579             <td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td>
 580             <td class="snnn file cyan">
 581               <br />
 582             </td>
 583             <td class="ssnn file cyan">
 584               <br />
 585             </td>
 586           </tr>
 587           <tr>
 588             <td class="nnns component cyan">
 589               <br />
 590             </td>
 591             <td class="nnns plane cyan">
 592               <br />
 593             </td>
 594             <td class="snns file cyan">tprs ( ? ➡* ?)</td>
 595             <td class="snnn file cyan">tprs_lift tprs_tprs</td>
 596             <td class="snnn file cyan">
 597               <br />
 598             </td>
 599             <td class="snnn file cyan">
 600               <br />
 601             </td>
 602             <td class="ssnn file cyan">
 603               <br />
 604             </td>
 605           </tr>
 606           <tr>
 607             <td class="nnns component cyan">
 608               <br />
 609             </td>
 610             <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
 611             <td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td>
 612             <td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
 613             <td class="snnn file cyan">
 614               <br />
 615             </td>
 616             <td class="snnn file cyan">
 617               <br />
 618             </td>
 619             <td class="ssnn file cyan">
 620               <br />
 621             </td>
 622           </tr>
 623           <tr>
 624             <td class="nnns component cyan">
 625               <br />
 626             </td>
 627             <td class="snns plane cyan">support for abstract computation properties</td>
 628             <td class="snns file cyan">acp</td>
 629             <td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
 630             <td class="snnn file cyan">acp_aaa</td>
 631             <td class="snnn file cyan">
 632               <br />
 633             </td>
 634             <td class="ssnn file cyan">
 635               <br />
 636             </td>
 637           </tr>
 638           <tr>
 639             <td class="snns component water">reducibility</td>
 640             <td class="snns plane water">context-sensitive focalized reduction</td>
 641             <td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
 642             <td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
 643             <td class="snnn file water">
 644               <br />
 645             </td>
 646             <td class="snnn file water">
 647               <br />
 648             </td>
 649             <td class="ssnn file water">
 650               <br />
 651             </td>
 652           </tr>
 653           <tr>
 654             <td class="nnns component water">
 655               <br />
 656             </td>
 657             <td class="snns plane water">context-free focalized reduction</td>
 658             <td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
 659             <td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
 660             <td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
 661             <td class="snnn file water">
 662               <br />
 663             </td>
 664             <td class="ssnn file water">
 665               <br />
 666             </td>
 667           </tr>
 668           <tr>
 669             <td class="nnns component water">
 670               <br />
 671             </td>
 672             <td class="nnns plane water">
 673               <br />
 674             </td>
 675             <td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
 676             <td class="snnn file water">fpr_cpr fpr_fpr</td>
 677             <td class="snnn file water">
 678               <br />
 679             </td>
 680             <td class="snnn file water">
 681               <br />
 682             </td>
 683             <td class="ssnn file water">
 684               <br />
 685             </td>
 686           </tr>
 687           <tr>
 688             <td class="nnns component water">
 689               <br />
 690             </td>
 691             <td class="snns plane water">"big tree" parallel reduction</td>
 692             <td class="snns file water">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
 693             <td class="snnn file water">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
 694             <td class="snnn file water">
 695               <br />
 696             </td>
 697             <td class="snnn file water">
 698               <br />
 699             </td>
 700             <td class="ssnn file water">
 701               <br />
 702             </td>
 703           </tr>
 704           <tr>
 705             <td class="nnns component water">
 706               <br />
 707             </td>
 708             <td class="snns plane water">context-sensitive normal forms</td>
 709             <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
 710             <td class="snnn file water">cnf_lift cnf_cif</td>
 711             <td class="snnn file water">
 712               <br />
 713             </td>
 714             <td class="snnn file water">
 715               <br />
 716             </td>
 717             <td class="ssnn file water">
 718               <br />
 719             </td>
 720           </tr>
 721           <tr>
 722             <td class="nnns component water">
 723               <br />
 724             </td>
 725             <td class="snns plane water">context-sensitive reduction</td>
 726             <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
 727             <td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
 728             <td class="snnn file water">
 729               <br />
 730             </td>
 731             <td class="snnn file water">
 732               <br />
 733             </td>
 734             <td class="ssnn file water">
 735               <br />
 736             </td>
 737           </tr>
 738           <tr>
 739             <td class="nnns component water">
 740               <br />
 741             </td>
 742             <td class="snns plane water">context-sensitive reducible forms</td>
 743             <td class="snns file water">crf ( ? ⊢ 𝐑⦃?⦄ )</td>
 744             <td class="snnn file water">crf_append</td>
 745             <td class="snnn file water">cif ( ? ⊢ 𝐈⦃?⦄ )</td>
 746             <td class="snnn file water">cif_append</td>
 747             <td class="ssnn file water">
 748               <br />
 749             </td>
 750           </tr>
 751           <tr>
 752             <td class="nnns component water">
 753               <br />
 754             </td>
 755             <td class="snns plane water">context-free normal forms</td>
 756             <td class="snns file water">thnf ( 𝐇𝐍⦃?⦄ )</td>
 757             <td class="snnn file water">
 758               <br />
 759             </td>
 760             <td class="snnn file water">
 761               <br />
 762             </td>
 763             <td class="snnn file water">
 764               <br />
 765             </td>
 766             <td class="ssnn file water">
 767               <br />
 768             </td>
 769           </tr>
 770           <tr>
 771             <td class="nnns component water">
 772               <br />
 773             </td>
 774             <td class="snns plane water">context-free reduction</td>
 775             <td class="snns file water">ltpr ( ? ➡ ? )</td>
 776             <td class="snnn file water">ltpr_ldrop ltpr_tps ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
 777             <td class="snnn file water">
 778               <br />
 779             </td>
 780             <td class="snnn file water">
 781               <br />
 782             </td>
 783             <td class="ssnn file water">
 784               <br />
 785             </td>
 786           </tr>
 787           <tr>
 788             <td class="nnns component water">
 789               <br />
 790             </td>
 791             <td class="nnns plane water">
 792               <br />
 793             </td>
 794             <td class="snns file water">tpr ( ? ➡ ? )</td>
 795             <td class="snnn file water">tpr_lift tpr_tps tpr_tpss tpr_delift tpr_tpr</td>
 796             <td class="snnn file water">
 797               <br />
 798             </td>
 799             <td class="snnn file water">
 800               <br />
 801             </td>
 802             <td class="ssnn file water">
 803               <br />
 804             </td>
 805           </tr>
 806           <tr>
 807             <td class="snns component green">unwind</td>
 808             <td class="snns plane green">iterated stratified static type assignment</td>
 809             <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
 810             <td class="snnn file green">sstas_lift sstas_ltpss_dx sstas_ltpss_sn sstas_aaa sstas_lsubss sstas_sstas</td>
 811             <td class="snnn file green">
 812               <br />
 813             </td>
 814             <td class="snnn file green">
 815               <br />
 816             </td>
 817             <td class="ssnn file green">
 818               <br />
 819             </td>
 820           </tr>
 821           <tr>
 822             <td class="snns component grass">static typing</td>
 823             <td class="snns plane grass">local env. ref. for stratified static type assignment</td>
 824             <td class="snns file grass">lsubss ( ? •⊑[?] ? )</td>
 825             <td class="snnn file grass">lsubss_ldrop lsubss_ssta lsubss_lsubss</td>
 826             <td class="snnn file grass">
 827               <br />
 828             </td>
 829             <td class="snnn file grass">
 830               <br />
 831             </td>
 832             <td class="ssnn file grass">
 833               <br />
 834             </td>
 835           </tr>
 836           <tr>
 837             <td class="nnns component grass">
 838               <br />
 839             </td>
 840             <td class="snns plane grass">stratified static type assignment</td>
 841             <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
 842             <td class="snnn file grass">ssta_lift ssta_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td>
 843             <td class="snnn file grass">
 844               <br />
 845             </td>
 846             <td class="snnn file grass">
 847               <br />
 848             </td>
 849             <td class="ssnn file grass">
 850               <br />
 851             </td>
 852           </tr>
 853           <tr>
 854             <td class="nnns component grass">
 855               <br />
 856             </td>
 857             <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
 858             <td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td>
 859             <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
 860             <td class="snnn file grass">
 861               <br />
 862             </td>
 863             <td class="snnn file grass">
 864               <br />
 865             </td>
 866             <td class="ssnn file grass">
 867               <br />
 868             </td>
 869           </tr>
 870           <tr>
 871             <td class="nnns component grass">
 872               <br />
 873             </td>
 874             <td class="snns plane grass">atomic arity assignment</td>
 875             <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
 876             <td class="snnn file grass">aaa_lift aaa_lifts aaa_ltpss_dx aaa_ltpss_sn aaa_aaa</td>
 877             <td class="snnn file grass">
 878               <br />
 879             </td>
 880             <td class="snnn file grass">
 881               <br />
 882             </td>
 883             <td class="ssnn file grass">
 884               <br />
 885             </td>
 886           </tr>
 887           <tr>
 888             <td class="nnns component grass">
 889               <br />
 890             </td>
 891             <td class="snns plane grass">parameters</td>
 892             <td class="snns file grass">sh</td>
 893             <td class="snnn file grass">sd</td>
 894             <td class="snnn file grass">
 895               <br />
 896             </td>
 897             <td class="snnn file grass">
 898               <br />
 899             </td>
 900             <td class="ssnn file grass">
 901               <br />
 902             </td>
 903           </tr>
 904           <tr>
 905             <td class="snns component yellow">unfold</td>
 906             <td class="snns plane yellow">basic local env. thinning</td>
 907             <td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td>
 908             <td class="snnn file yellow">thin_ldrop thin_delift</td>
 909             <td class="snnn file yellow">
 910               <br />
 911             </td>
 912             <td class="snnn file yellow">
 913               <br />
 914             </td>
 915             <td class="ssnn file yellow">
 916               <br />
 917             </td>
 918           </tr>
 919           <tr>
 920             <td class="nnns component yellow">
 921               <br />
 922             </td>
 923             <td class="snns plane yellow">inverse basic term relocation</td>
 924             <td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td>
 925             <td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td>
 926             <td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td>
 927             <td class="snnn file yellow">
 928               <br />
 929             </td>
 930             <td class="ssnn file yellow">
 931               <br />
 932             </td>
 933           </tr>
 934           <tr>
 935             <td class="nnns component yellow">
 936               <br />
 937             </td>
 938             <td class="snns plane yellow">partial unfold</td>
 939             <td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td>
 940             <td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td>
 941             <td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</td>
 942             <td class="snnn file yellow">
 943               <br />
 944             </td>
 945             <td class="ssnn file yellow">
 946               <br />
 947             </td>
 948           </tr>
 949           <tr>
 950             <td class="nnns component yellow">
 951               <br />
 952             </td>
 953             <td class="nnns plane yellow">
 954               <br />
 955             </td>
 956             <td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td>
 957             <td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td>
 958             <td class="snnn file yellow">
 959               <br />
 960             </td>
 961             <td class="snnn file yellow">
 962               <br />
 963             </td>
 964             <td class="ssnn file yellow">
 965               <br />
 966             </td>
 967           </tr>
 968           <tr>
 969             <td class="nnns component yellow">
 970               <br />
 971             </td>
 972             <td class="nnns plane yellow">
 973               <br />
 974             </td>
 975             <td class="snns file yellow">tpss ( ? ⊢ ? ▶*[?,?] ? )</td>
 976             <td class="snnn file yellow">tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )</td>
 977             <td class="snnn file yellow">tpss_lift</td>
 978             <td class="snnn file yellow">tpss_tpss</td>
 979             <td class="ssnn file yellow">
 980               <br />
 981             </td>
 982           </tr>
 983           <tr>
 984             <td class="nnns component yellow">
 985               <br />
 986             </td>
 987             <td class="snns plane yellow">generic local env. slicing</td>
 988             <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
 989             <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
 990             <td class="snnn file yellow">
 991               <br />
 992             </td>
 993             <td class="snnn file yellow">
 994               <br />
 995             </td>
 996             <td class="ssnn file yellow">
 997               <br />
 998             </td>
 999           </tr>
1000           <tr>
1001             <td class="nnns component yellow">
1002               <br />
1003             </td>
1004             <td class="snns plane yellow">iterated restricted structural predecessor for closures</td>
1005             <td class="snns file yellow">frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )</td>
1006             <td class="snnn file yellow">frsups_frsups</td>
1007             <td class="snnn file yellow">
1008               <br />
1009             </td>
1010             <td class="snnn file yellow">
1011               <br />
1012             </td>
1013             <td class="ssnn file yellow">
1014               <br />
1015             </td>
1016           </tr>
1017           <tr>
1018             <td class="nnns component yellow">
1019               <br />
1020             </td>
1021             <td class="nnns plane yellow">
1022               <br />
1023             </td>
1024             <td class="snns file yellow">frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )</td>
1025             <td class="snnn file yellow">frsupp_frsupp</td>
1026             <td class="snnn file yellow">
1027               <br />
1028             </td>
1029             <td class="snnn file yellow">
1030               <br />
1031             </td>
1032             <td class="ssnn file yellow">
1033               <br />
1034             </td>
1035           </tr>
1036           <tr>
1037             <td class="nnns component yellow">
1038               <br />
1039             </td>
1040             <td class="snns plane yellow">generic term relocation</td>
1041             <td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td>
1042             <td class="snnn file yellow">lifts_lift_vector</td>
1043             <td class="snnn file yellow">
1044               <br />
1045             </td>
1046             <td class="snnn file yellow">
1047               <br />
1048             </td>
1049             <td class="ssnn file yellow">
1050               <br />
1051             </td>
1052           </tr>
1053           <tr>
1054             <td class="nnns component yellow">
1055               <br />
1056             </td>
1057             <td class="nnns plane yellow">
1058               <br />
1059             </td>
1060             <td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td>
1061             <td class="snnn file yellow">lifts_lift lifts_lifts</td>
1062             <td class="snnn file yellow">
1063               <br />
1064             </td>
1065             <td class="snnn file yellow">
1066               <br />
1067             </td>
1068             <td class="ssnn file yellow">
1069               <br />
1070             </td>
1071           </tr>
1072           <tr>
1073             <td class="nnns component yellow">
1074               <br />
1075             </td>
1076             <td class="snns plane yellow">support for generic relocation</td>
1077             <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
1078             <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
1079             <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
1080             <td class="snnn file yellow">gr2_gr2</td>
1081             <td class="ssnn file yellow">
1082               <br />
1083             </td>
1084           </tr>
1085           <tr>
1086             <td class="snns component orange">substitution</td>
1087             <td class="snns plane orange">parallel substitution</td>
1088             <td class="snns file orange">tps ( ? ⊢ ? ▶[?,?] ? )</td>
1089             <td class="snnn file orange">tps_lift tps_tps</td>
1090             <td class="snnn file orange">
1091               <br />
1092             </td>
1093             <td class="snnn file orange">
1094               <br />
1095             </td>
1096             <td class="ssnn file orange">
1097               <br />
1098             </td>
1099           </tr>
1100           <tr>
1101             <td class="nnns component orange">
1102               <br />
1103             </td>
1104             <td class="snns plane orange">global env. slicing</td>
1105             <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
1106             <td class="snnn file orange">gdrop_gdrop</td>
1107             <td class="snnn file orange">
1108               <br />
1109             </td>
1110             <td class="snnn file orange">
1111               <br />
1112             </td>
1113             <td class="ssnn file orange">
1114               <br />
1115             </td>
1116           </tr>
1117           <tr>
1118             <td class="nnns component orange">
1119               <br />
1120             </td>
1121             <td class="snns plane orange">basic local env. slicing</td>
1122             <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
1123             <td class="snnn file orange">ldrop_append ldrop_lpx ldrop_sfr ldrop_ldrop</td>
1124             <td class="snnn file orange">
1125               <br />
1126             </td>
1127             <td class="snnn file orange">
1128               <br />
1129             </td>
1130             <td class="ssnn file orange">
1131               <br />
1132             </td>
1133           </tr>
1134           <tr>
1135             <td class="nnns component orange">
1136               <br />
1137             </td>
1138             <td class="snns plane orange">local env. ref. for substitution</td>
1139             <td class="snns file orange">lsubs ( ? ≼[?,?] ? )</td>
1140             <td class="snnn file orange">(lsubs_lsubs)</td>
1141             <td class="snnn file orange">lsubs_sfr ( ≽[?,?] ? )</td>
1142             <td class="snnn file orange">
1143               <br />
1144             </td>
1145             <td class="ssnn file orange">
1146               <br />
1147             </td>
1148           </tr>
1149           <tr>
1150             <td class="nnns component orange">
1151               <br />
1152             </td>
1153             <td class="snns plane orange">restricted structural predecessor for closures</td>
1154             <td class="snns file orange">frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )</td>
1155             <td class="snnn file orange">
1156               <br />
1157             </td>
1158             <td class="snnn file orange">
1159               <br />
1160             </td>
1161             <td class="snnn file orange">
1162               <br />
1163             </td>
1164             <td class="ssnn file orange">
1165               <br />
1166             </td>
1167           </tr>
1168           <tr>
1169             <td class="nnns component orange">
1170               <br />
1171             </td>
1172             <td class="snns plane orange">basic term relocation</td>
1173             <td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td>
1174             <td class="snnn file orange">lift_lift_vector</td>
1175             <td class="snnn file orange">
1176               <br />
1177             </td>
1178             <td class="snnn file orange">
1179               <br />
1180             </td>
1181             <td class="ssnn file orange">
1182               <br />
1183             </td>
1184           </tr>
1185           <tr>
1186             <td class="nnns component orange">
1187               <br />
1188             </td>
1189             <td class="nnns plane orange">
1190               <br />
1191             </td>
1192             <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
1193             <td class="snnn file orange">lift_lift</td>
1194             <td class="snnn file orange">
1195               <br />
1196             </td>
1197             <td class="snnn file orange">
1198               <br />
1199             </td>
1200             <td class="ssnn file orange">
1201               <br />
1202             </td>
1203           </tr>
1204           <tr>
1205             <td class="snns component red">grammar</td>
1206             <td class="snns plane red">same head term form</td>
1207             <td class="snns file red">tshf ( ? ≈ ? )</td>
1208             <td class="snnn file red">(tshf_tshf)</td>
1209             <td class="snnn file red">
1210               <br />
1211             </td>
1212             <td class="snnn file red">
1213               <br />
1214             </td>
1215             <td class="ssnn file red">
1216               <br />
1217             </td>
1218           </tr>
1219           <tr>
1220             <td class="nnns component red">
1221               <br />
1222             </td>
1223             <td class="snns plane red">same top term constructor</td>
1224             <td class="snns file red">tstc ( ? ≃ ? )</td>
1225             <td class="snnn file red">tstc_tstc tstc_vector</td>
1226             <td class="snnn file red">
1227               <br />
1228             </td>
1229             <td class="snnn file red">
1230               <br />
1231             </td>
1232             <td class="ssnn file red">
1233               <br />
1234             </td>
1235           </tr>
1236           <tr>
1237             <td class="nnns component red">
1238               <br />
1239             </td>
1240             <td class="snns plane red">closures</td>
1241             <td class="snns file red">cl_shift ( ? @@ ? )</td>
1242             <td class="snnn file red">cl_weight ( ♯{?,?} )</td>
1243             <td class="snnn file red">
1244               <br />
1245             </td>
1246             <td class="snnn file red">
1247               <br />
1248             </td>
1249             <td class="ssnn file red">
1250               <br />
1251             </td>
1252           </tr>
1253           <tr>
1254             <td class="nnns component red">
1255               <br />
1256             </td>
1257             <td class="snns plane red">internal syntax</td>
1258             <td class="snns file red">genv</td>
1259             <td class="snnn file red">
1260               <br />
1261             </td>
1262             <td class="snnn file red">
1263               <br />
1264             </td>
1265             <td class="snnn file red">
1266               <br />
1267             </td>
1268             <td class="ssnn file red">
1269               <br />
1270             </td>
1271           </tr>
1272           <tr>
1273             <td class="nnns component red">
1274               <br />
1275             </td>
1276             <td class="nnns plane red">
1277               <br />
1278             </td>
1279             <td class="snns file red">lenv</td>
1280             <td class="snnn file red">lenv_weight ( ♯{?} )</td>
1281             <td class="snnn file red">lenv_length ( |?| )</td>
1282             <td class="snnn file red">lenv_append ( ? @@ ? )</td>
1283             <td class="ssnn file red">lenv_px lenv_px_bi</td>
1284           </tr>
1285           <tr>
1286             <td class="nnns component red">
1287               <br />
1288             </td>
1289             <td class="nnns plane red">
1290               <br />
1291             </td>
1292             <td class="snns file red">term</td>
1293             <td class="snnn file red">term_weight ( ♯{?} )</td>
1294             <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
1295             <td class="snnn file red">term_vector</td>
1296             <td class="ssnn file red">
1297               <br />
1298             </td>
1299           </tr>
1300           <tr>
1301             <td class="nnns component red">
1302               <br />
1303             </td>
1304             <td class="nnns plane red">
1305               <br />
1306             </td>
1307             <td class="snns file red">item</td>
1308             <td class="snnn file red">
1309               <br />
1310             </td>
1311             <td class="snnn file red">
1312               <br />
1313             </td>
1314             <td class="snnn file red">
1315               <br />
1316             </td>
1317             <td class="ssnn file red">
1318               <br />
1319             </td>
1320           </tr>
1321           <tr>
1322             <td class="nnss component red">
1323               <br />
1324             </td>
1325             <td class="snss plane red">external syntax</td>
1326             <td class="snss file red">aarity</td>
1327             <td class="snsn file red">
1328               <br />
1329             </td>
1330             <td class="snsn file red">
1331               <br />
1332             </td>
1333             <td class="snsn file red">
1334               <br />
1335             </td>
1336             <td class="sssn file red">
1337               <br />
1338             </td>
1339           </tr>
1340         </tbody>
1341       </table>
1342     </div>
1343
1344    <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
1345    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
1346          one for each component.
1347    </div>
1348    <div class="spacer">
1349       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
1350     </div>
1351     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1352       <br />
1353     </div>
1354     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1355       <a href="http://validator.w3.org/check?uri=referer">
1356         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
1357       </a>
1358       <a href="http://jigsaw.w3.org/css-validator/check/referer">
1359         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
1360       </a>
1361       <a href="http://www.w3.org/XML/">
1362         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
1363       </a>
1364       <a href="http://www.w3.org/Graphics/PNG/">
1365         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
1366       </a>
1367       <a href="http://www.anybrowser.org/campaign/">
1368         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
1369       </a>
1370     </div>
1371     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1372       <br />
1373     </div>
1374     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 11 Mar 2013 20:22:08 +0100</div>
1375 </body>
1376 </html>