helm/www/lambdadelta/basic_2.html

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
   3 <html xmlns="http://www.w3.org/1999/xhtml" dir="ltr" lang="en-us">
   4   <head>
   5     <meta http-equiv="Content-Language" content="en-us" />
   6     <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
   7     <meta http-equiv="Content-Style-Type" content="text/css" />
   8     <meta name="author" content="Ferruccio Guidi" />
   9     <meta name="description" content="\lambda\delta home page" />
  10     <title>\lambda\delta home page</title>
  11     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
  12     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
  13     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
  14     <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
  15   </head>
  16   <body lang="en-US">
  17     <div class="spacer">
  18       <a href="http://lambdadelta.info/">
  19         <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
  20       </a>
  21     </div>
  22     <div class="head1">cic:/matita/lambdadelta/basic_2/ (core λδ version 2)</div>
  23     <div class="spacer">
  24       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
  25     </div>
  26     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
  27       <br />
  28     </div>
  29     <div xmlns:ld="http://lambdadelta.info/" class="text">
  30       <table cellpadding="4" cellspacing="0">
  31         <tbody>
  32           <tr>
  33             <td class="snns capitalize italic sky">
  34               <a href="http://lambdadelta.info/index.html">home</a>
  35             </td>
  36             <td class="snns capitalize italic magenta">
  37               <a href="http://lambdadelta.info/news.html">news</a>
  38             </td>
  39             <td class="snns capitalize italic orange">
  40               <a href="http://lambdadelta.info/documentation.html">documentation</a>
  41             </td>
  42             <td class="snns capitalize italic green">
  43               <a href="http://lambdadelta.info/specification.html">specification</a>
  44             </td>
  45             <td class="snnn capitalize italic green">
  46               <br />
  47             </td>
  48             <td class="snns capitalize italic green">
  49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
  50             </td>
  51             <td class="ssnn capitalize italic green">
  52               <br />
  53             </td>
  54           </tr>
  55           <tr>
  56             <td class="snns capitalize sky">
  57               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
  58             </td>
  59             <td class="snns capitalize magenta">
  60               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
  61             </td>
  62             <td class="snns capitalize orange">
  63               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
  64             </td>
  65             <td class="snns capitalize green">
  66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
  67             </td>
  68             <td class="snnn capitalize green">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
  69             <td class="snns capitalize green">
  70               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
  71             </td>
  72             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
  73           </tr>
  74           <tr>
  75             <td class="snss capitalize sky">
  76               <a href="http://lambdadelta.info/index.html#citations">citations</a>
  77             </td>
  78             <td class="snss capitalize magenta">
  79               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
  80             </td>
  81             <td class="snss capitalize orange">
  82               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
  83             </td>
  84             <td class="snss capitalize green">
  85               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
  86             </td>
  87             <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
  88             <td class="snss capitalize green">
  89               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
  90             </td>
  91             <td class="sssn capitalize green">
  92               <br />
  93             </td>
  94           </tr>
  95         </tbody>
  96       </table>
  97     </div>
  98     <!--
  99    <section>System's Syntax and Behavior</section>
 100    <body>This is a summary of the "block structure"
 101          of the System's syntactic items and reductions.
 102    </body>
 103    <table name="basic_2_blk"/>
 104    <body>* In terms only.
 105          ** In terms and local environments only.
 106          *** In global environments only.
 107          **** Sort level k in terms only.
 108    </body>
 109 -->
 110     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
 111     </div>
 112     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
 113          and its timeline.
 114    </div>
 115     <div xmlns:ld="http://lambdadelta.info/" class="text">
 116       <table cellpadding="4" cellspacing="0">
 117         <tbody>
 118           <tr>
 119             <td class="snns capitalize italic gray">category</td>
 120             <td class="snns italic gray">objects</td>
 121             <td class="snnn right italic gray">
 122               <br />
 123             </td>
 124             <td class="snnn italic gray">
 125               <br />
 126             </td>
 127             <td class="snnn right italic gray">
 128               <br />
 129             </td>
 130             <td class="snnn italic gray">
 131               <br />
 132             </td>
 133             <td class="ssnn right italic gray">
 134               <br />
 135             </td>
 136           </tr>
 137           <tr>
 138             <td class="snns capitalize italic cyan">sizes</td>
 139             <td class="snns italic cyan">files</td>
 140             <td class="snnn right italic cyan">360</td>
 141             <td class="snns italic cyan">characters</td>
 142             <td class="snnn right italic cyan">433402</td>
 143             <td class="snns italic cyan">nodes</td>
 144             <td class="ssnn right italic cyan">1874774</td>
 145           </tr>
 146           <tr>
 147             <td class="snns capitalize italic green">propositions</td>
 148             <td class="snns italic green">theorems</td>
 149             <td class="snnn right italic green">130</td>
 150             <td class="snns italic green">lemmas</td>
 151             <td class="snnn right italic green">1286</td>
 152             <td class="snns italic green">total</td>
 153             <td class="ssnn right italic green">1416</td>
 154           </tr>
 155           <tr>
 156             <td class="snss capitalize italic yellow">concepts</td>
 157             <td class="snss italic yellow">declared</td>
 158             <td class="snsn right italic yellow">54</td>
 159             <td class="snss italic yellow">defined</td>
 160             <td class="snsn right italic yellow">89</td>
 161             <td class="snss italic yellow">total</td>
 162             <td class="sssn right italic yellow">143</td>
 163           </tr>
 164         </tbody>
 165       </table>
 166     </div>
 167     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
 168     <ul xmlns:ld="http://lambdadelta.info/">
 169       <li>
 170         <span class="emph alpha">Ongoing.</span>
 171          Context-sensitive subject equivalence
 172          for native type assignment.
 173    </li>
 174     </ul>
 175     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A">Stage "A": "Extending the Applicability Condition"</div>
 176     <ul xmlns:ld="http://lambdadelta.info/">
 177       <li>
 178         <span class="emph gamma">2014 October 28.</span>
 179          λδ version 2A is released.
 180    </li>
 181     </ul>
 182     <ul xmlns:ld="http://lambdadelta.info/">
 183       <li>
 184         <span class="emph beta">2014 September 9.</span>
 185          Iterated static type assignment defined (more elegantly)
 186          as a primitive notion.
 187    </li>
 188     </ul>
 189     <ul xmlns:ld="http://lambdadelta.info/">
 190       <li>
 191         <span class="emph beta">2014 June 18.</span>
 192          Preservation of stratified native validity
 193          for context-sensitive computation on terms.
 194    </li>
 195     </ul>
 196     <ul xmlns:ld="http://lambdadelta.info/">
 197       <li>
 198         <span class="emph alpha">2014 June 9.</span>
 199          Strong qrst-normalization
 200          for simply typed terms.
 201    </li>
 202     </ul>
 203     <ul xmlns:ld="http://lambdadelta.info/">
 204       <li>
 205         <span class="emph alpha">2014 April 16.</span>
 206          Lazy equivalence on local environments
 207          addded as q-step to rst-computation on closures
 208          (anniversary milestone).
 209    </li>
 210     </ul>
 211     <ul xmlns:ld="http://lambdadelta.info/">
 212       <li>
 213         <span class="emph alpha">2014 January 20.</span>
 214          Parametrized slicing of local environments
 215          comprises both versions of this operation
 216          (one from basic_1, the other used in basic_2 till now).
 217    </li>
 218     </ul>
 219     <ul xmlns:ld="http://lambdadelta.info/">
 220       <li>
 221         <span class="emph alpha">2013 August 7.</span>
 222          Passive support for global environments.
 223    </li>
 224     </ul>
 225     <ul xmlns:ld="http://lambdadelta.info/">
 226       <li>
 227         <span class="emph alpha">2013 July 27.</span>
 228          Reaxiomatized β-reductum as in rt-reduction.
 229    </li>
 230     </ul>
 231     <ul xmlns:ld="http://lambdadelta.info/">
 232       <li>
 233         <span class="emph alpha">2013 July 20.</span>
 234          Context-sensitive strong rt-normalization
 235          for simply typed terms.
 236    </li>
 237     </ul>
 238     <ul xmlns:ld="http://lambdadelta.info/">
 239       <li>
 240         <span class="emph alpha">2013 April 16.</span>
 241          Reaxiomatized substitution and reduction
 242          commute with respect to subclosure
 243          (anniversary milestone).
 244    </li>
 245     </ul>
 246     <ul xmlns:ld="http://lambdadelta.info/">
 247       <li>
 248         <span class="emph alpha">2013 March 16.</span>
 249          Mutual recursive preservation of stratified native validity
 250          for rst-computation on closures.
 251    </li>
 252     </ul>
 253     <ul xmlns:ld="http://lambdadelta.info/">
 254       <li>
 255         <span class="emph alpha">2012 October 16.</span>
 256          Confluence for context-free parallel reduction on closures.
 257    </li>
 258     </ul>
 259     <ul xmlns:ld="http://lambdadelta.info/">
 260       <li>
 261         <span class="emph alpha">2012 July 26.</span>
 262          Term binders polarized to control ζ-reduction (not released).
 263    </li>
 264     </ul>
 265     <ul xmlns:ld="http://lambdadelta.info/">
 266       <li>
 267         <span class="emph alpha">2012 April 16.</span>
 268          Context-sensitive subject equivalence
 269          for atomic arity assignment
 270          (anniversary milestone).
 271    </li>
 272     </ul>
 273     <ul xmlns:ld="http://lambdadelta.info/">
 274       <li>
 275         <span class="emph alpha">2012 March 15.</span>
 276          Context-sensitive strong normalization
 277          for simply typed terms.
 278    </li>
 279     </ul>
 280     <ul xmlns:ld="http://lambdadelta.info/">
 281       <li>
 282         <span class="emph alpha">2012 January 27.</span>
 283          Support for abstract candidates of reducibility.
 284    </li>
 285     </ul>
 286     <ul xmlns:ld="http://lambdadelta.info/">
 287       <li>
 288         <span class="emph alpha">2011 September 21.</span>
 289          Confluence for context-sensitive parallel reduction on terms.
 290    </li>
 291     </ul>
 292     <ul xmlns:ld="http://lambdadelta.info/">
 293       <li>
 294         <span class="emph alpha">2011 September 6.</span>
 295          Confluence for context-free parallel reduction on terms.
 296    </li>
 297     </ul>
 298     <ul xmlns:ld="http://lambdadelta.info/">
 299       <li>
 300         <span class="emph alpha">2011 April 17.</span>
 301          Specification starts.
 302    </li>
 303     </ul>
 304     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
 305     </div>
 306     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
 307    </div>
 308     <div xmlns:ld="http://lambdadelta.info/" class="text">
 309       <table cellpadding="4" cellspacing="0">
 310         <tbody>
 311           <tr>
 312             <td class="snns top capitalize italic gray">component</td>
 313             <td class="snns top italic gray">plane</td>
 314             <td class="snns top gray">files</td>
 315             <td class="snnn top gray">
 316               <br />
 317             </td>
 318             <td class="snnn top gray">
 319               <br />
 320             </td>
 321             <td class="ssnn top gray">
 322               <br />
 323             </td>
 324           </tr>
 325           <tr>
 326             <td class="snns top capitalize italic wine">examples</td>
 327             <td class="snns top italic wine">terms with special features</td>
 328             <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
 329             <td class="snnn top wine">
 330               <br />
 331             </td>
 332             <td class="snnn top wine">
 333               <br />
 334             </td>
 335             <td class="ssnn top wine">
 336               <br />
 337             </td>
 338           </tr>
 339           <tr>
 340             <td class="snns top capitalize italic magenta" />
 341             <td class="snns top italic magenta" />
 342             <td class="snns top magenta" />
 343             <td class="snnn top magenta">
 344               <br />
 345             </td>
 346             <td class="snnn top magenta">
 347               <br />
 348             </td>
 349             <td class="ssnn top magenta">
 350               <br />
 351             </td>
 352           </tr>
 353           <tr>
 354             <td class="snns top capitalize italic prune">dynamic typing</td>
 355             <td class="snns top italic prune">local env. ref. for stratified native validity</td>
 356             <td class="snns top prune">lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )</td>
 357             <td class="snnn top prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv</td>
 358             <td class="snnn top prune">
 359               <br />
 360             </td>
 361             <td class="ssnn top prune">
 362               <br />
 363             </td>
 364           </tr>
 365           <tr>
 366             <td class="nnns top capitalize italic prune">
 367               <br />
 368             </td>
 369             <td class="snns top italic prune">stratified native validity</td>
 370             <td class="snns top prune">shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )</td>
 371             <td class="snnn top prune">
 372               <br />
 373             </td>
 374             <td class="snnn top prune">
 375               <br />
 376             </td>
 377             <td class="ssnn top prune">
 378               <br />
 379             </td>
 380           </tr>
 381           <tr>
 382             <td class="nnns top capitalize italic prune">
 383               <br />
 384             </td>
 385             <td class="nnns top italic prune">
 386               <br />
 387             </td>
 388             <td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
 389             <td class="snnn top prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve</td>
 390             <td class="snnn top prune">
 391               <br />
 392             </td>
 393             <td class="ssnn top prune">
 394               <br />
 395             </td>
 396           </tr>
 397           <tr>
 398             <td class="snns top capitalize italic blue">equivalence</td>
 399             <td class="snns top italic blue">decomposed rt-equivalence</td>
 400             <td class="snns top blue">scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )</td>
 401             <td class="snnn top blue">scpes_aaa scpes_cpcs scpes_scpes</td>
 402             <td class="snnn top blue">
 403               <br />
 404             </td>
 405             <td class="ssnn top blue">
 406               <br />
 407             </td>
 408           </tr>
 409           <tr>
 410             <td class="nnns top capitalize italic blue">
 411               <br />
 412             </td>
 413             <td class="snns top italic blue">context-sensitive equivalence</td>
 414             <td class="snns top blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
 415             <td class="snnn top blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
 416             <td class="snnn top blue">
 417               <br />
 418             </td>
 419             <td class="ssnn top blue">
 420               <br />
 421             </td>
 422           </tr>
 423           <tr>
 424             <td class="snns top capitalize italic sky">conversion</td>
 425             <td class="snns top italic sky">context-sensitive conversion</td>
 426             <td class="snns top sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
 427             <td class="snnn top sky">cpc_cpc</td>
 428             <td class="snnn top sky">
 429               <br />
 430             </td>
 431             <td class="ssnn top sky">
 432               <br />
 433             </td>
 434           </tr>
 435           <tr>
 436             <td class="snns top capitalize italic cyan">computation</td>
 437             <td class="snns top italic cyan">evaluation for context-sensitive rt-reduction</td>
 438             <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
 439             <td class="snnn top cyan">
 440               <br />
 441             </td>
 442             <td class="snnn top cyan">
 443               <br />
 444             </td>
 445             <td class="ssnn top cyan">
 446               <br />
 447             </td>
 448           </tr>
 449           <tr>
 450             <td class="nnns top capitalize italic cyan">
 451               <br />
 452             </td>
 453             <td class="snns top italic cyan">evaluation for context-sensitive reduction</td>
 454             <td class="snns top cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
 455             <td class="snnn top cyan">cpre_cpre</td>
 456             <td class="snnn top cyan">
 457               <br />
 458             </td>
 459             <td class="ssnn top cyan">
 460               <br />
 461             </td>
 462           </tr>
 463           <tr>
 464             <td class="nnns top capitalize italic cyan">
 465               <br />
 466             </td>
 467             <td class="snns top italic cyan">strongly normalizing qrst-computation</td>
 468             <td class="snns top cyan">fsb ( ⦥[?,?] ⦃?,?,?⦄ )</td>
 469             <td class="snnn top cyan">fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )</td>
 470             <td class="snnn top cyan">fsb_aaa fsb_csx</td>
 471             <td class="ssnn top cyan">
 472               <br />
 473             </td>
 474           </tr>
 475           <tr>
 476             <td class="nnns top capitalize italic cyan">
 477               <br />
 478             </td>
 479             <td class="snns top italic cyan">strongly normalizing rt-computation</td>
 480             <td class="snns top cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
 481             <td class="snnn top cyan">lcosx_cpx</td>
 482             <td class="snnn top cyan">
 483               <br />
 484             </td>
 485             <td class="ssnn top cyan">
 486               <br />
 487             </td>
 488           </tr>
 489           <tr>
 490             <td class="nnns top capitalize italic cyan">
 491               <br />
 492             </td>
 493             <td class="nnns top italic cyan">
 494               <br />
 495             </td>
 496             <td class="snns top cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
 497             <td class="snnn top cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
 498             <td class="snnn top cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
 499             <td class="ssnn top cyan">
 500               <br />
 501             </td>
 502           </tr>
 503           <tr>
 504             <td class="nnns top capitalize italic cyan">
 505               <br />
 506             </td>
 507             <td class="nnns top italic cyan">
 508               <br />
 509             </td>
 510             <td class="snns top cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
 511             <td class="snnn top cyan">csx_tsts_vector csx_aaa</td>
 512             <td class="snnn top cyan">
 513               <br />
 514             </td>
 515             <td class="ssnn top cyan">
 516               <br />
 517             </td>
 518           </tr>
 519           <tr>
 520             <td class="nnns top capitalize italic cyan">
 521               <br />
 522             </td>
 523             <td class="nnns top italic cyan">
 524               <br />
 525             </td>
 526             <td class="snns top cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
 527             <td class="snnn top cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
 528             <td class="snnn top cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
 529             <td class="ssnn top cyan">
 530               <br />
 531             </td>
 532           </tr>
 533           <tr>
 534             <td class="nnns top capitalize italic cyan">
 535               <br />
 536             </td>
 537             <td class="snns top italic cyan">parallel qrst-computation</td>
 538             <td class="snns top cyan">fpbg ( ⦃?,?,?⦄ &gt;≡[?,?] ⦃?,?,?⦄ )</td>
 539             <td class="snnn top cyan">fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg</td>
 540             <td class="snnn top cyan">
 541               <br />
 542             </td>
 543             <td class="ssnn top cyan">
 544               <br />
 545             </td>
 546           </tr>
 547           <tr>
 548             <td class="nnns top capitalize italic cyan">
 549               <br />
 550             </td>
 551             <td class="nnns top italic cyan">
 552               <br />
 553             </td>
 554             <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
 555             <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
 556             <td class="snnn top cyan">fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs</td>
 557             <td class="ssnn top cyan">
 558               <br />
 559             </td>
 560           </tr>
 561           <tr>
 562             <td class="nnns top capitalize italic cyan">
 563               <br />
 564             </td>
 565             <td class="snns top italic cyan">decomposed rt-computation</td>
 566             <td class="snns top cyan">scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )</td>
 567             <td class="snnn top cyan">scpds_lift scpds_aaa scpds_scpds</td>
 568             <td class="snnn top cyan">
 569               <br />
 570             </td>
 571             <td class="ssnn top cyan">
 572               <br />
 573             </td>
 574           </tr>
 575           <tr>
 576             <td class="nnns top capitalize italic cyan">
 577               <br />
 578             </td>
 579             <td class="snns top italic cyan">context-sensitive rt-computation</td>
 580             <td class="snns top cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
 581             <td class="snnn top cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
 582             <td class="snnn top cyan">
 583               <br />
 584             </td>
 585             <td class="ssnn top cyan">
 586               <br />
 587             </td>
 588           </tr>
 589           <tr>
 590             <td class="nnns top capitalize italic cyan">
 591               <br />
 592             </td>
 593             <td class="nnns top italic cyan">
 594               <br />
 595             </td>
 596             <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
 597             <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
 598             <td class="snnn top cyan">
 599               <br />
 600             </td>
 601             <td class="ssnn top cyan">
 602               <br />
 603             </td>
 604           </tr>
 605           <tr>
 606             <td class="nnns top capitalize italic cyan">
 607               <br />
 608             </td>
 609             <td class="snns top italic cyan">context-sensitive computation</td>
 610             <td class="snns top cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
 611             <td class="snnn top cyan">lprs_drop lprs_cprs lprs_lprs</td>
 612             <td class="snnn top cyan">
 613               <br />
 614             </td>
 615             <td class="ssnn top cyan">
 616               <br />
 617             </td>
 618           </tr>
 619           <tr>
 620             <td class="nnns top capitalize italic cyan">
 621               <br />
 622             </td>
 623             <td class="nnns top italic cyan">
 624               <br />
 625             </td>
 626             <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
 627             <td class="snnn top cyan">cprs_lift cprs_cprs</td>
 628             <td class="snnn top cyan">
 629               <br />
 630             </td>
 631             <td class="ssnn top cyan">
 632               <br />
 633             </td>
 634           </tr>
 635           <tr>
 636             <td class="nnns top capitalize italic cyan">
 637               <br />
 638             </td>
 639             <td class="snns top italic cyan">local env. ref. for generic reducibility</td>
 640             <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
 641             <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
 642             <td class="snnn top cyan">
 643               <br />
 644             </td>
 645             <td class="ssnn top cyan">
 646               <br />
 647             </td>
 648           </tr>
 649           <tr>
 650             <td class="nnns top capitalize italic cyan">
 651               <br />
 652             </td>
 653             <td class="snns top italic cyan">support for generic computation properties</td>
 654             <td class="snns top cyan">gcp</td>
 655             <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
 656             <td class="snnn top cyan">gcp_aaa</td>
 657             <td class="ssnn top cyan">
 658               <br />
 659             </td>
 660           </tr>
 661           <tr>
 662             <td class="snns top capitalize italic water">reduction</td>
 663             <td class="snns top italic water">parallel qrst-reduction</td>
 664             <td class="snns top water">fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
 665             <td class="snnn top water">fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )</td>
 666             <td class="snnn top water">fpbq_lift fpbq_aaa</td>
 667             <td class="ssnn top water">
 668               <br />
 669             </td>
 670           </tr>
 671           <tr>
 672             <td class="nnns top capitalize italic water">
 673               <br />
 674             </td>
 675             <td class="nnns top italic water">
 676               <br />
 677             </td>
 678             <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
 679             <td class="snnn top water">fpb_lift fpb_lleq fpb_fleq</td>
 680             <td class="snnn top water">
 681               <br />
 682             </td>
 683             <td class="ssnn top water">
 684               <br />
 685             </td>
 686           </tr>
 687           <tr>
 688             <td class="nnns top capitalize italic water">
 689               <br />
 690             </td>
 691             <td class="snns top italic water">normal forms for context-sensitive rt-reduction</td>
 692             <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
 693             <td class="snnn top water">cnx_lift cnx_crx cnx_cix</td>
 694             <td class="snnn top water">
 695               <br />
 696             </td>
 697             <td class="ssnn top water">
 698               <br />
 699             </td>
 700           </tr>
 701           <tr>
 702             <td class="nnns top capitalize italic water">
 703               <br />
 704             </td>
 705             <td class="snns top italic water">context-sensitive rt-reduction</td>
 706             <td class="snns top water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
 707             <td class="snnn top water">lpx_drop lpx_frees lpx_lleq lpx_aaa</td>
 708             <td class="snnn top water">
 709               <br />
 710             </td>
 711             <td class="ssnn top water">
 712               <br />
 713             </td>
 714           </tr>
 715           <tr>
 716             <td class="nnns top capitalize italic water">
 717               <br />
 718             </td>
 719             <td class="nnns top italic water">
 720               <br />
 721             </td>
 722             <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
 723             <td class="snnn top water">cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
 724             <td class="snnn top water">
 725               <br />
 726             </td>
 727             <td class="ssnn top water">
 728               <br />
 729             </td>
 730           </tr>
 731           <tr>
 732             <td class="nnns top capitalize italic water">
 733               <br />
 734             </td>
 735             <td class="snns top italic water">irreducible forms for context-sensitive rt-reduction</td>
 736             <td class="snns top water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
 737             <td class="snnn top water">cix_lift</td>
 738             <td class="snnn top water">
 739               <br />
 740             </td>
 741             <td class="ssnn top water">
 742               <br />
 743             </td>
 744           </tr>
 745           <tr>
 746             <td class="nnns top capitalize italic water">
 747               <br />
 748             </td>
 749             <td class="snns top italic water">reducible forms for context-sensitive rt-reduction</td>
 750             <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
 751             <td class="snnn top water">crx_lift</td>
 752             <td class="snnn top water">
 753               <br />
 754             </td>
 755             <td class="ssnn top water">
 756               <br />
 757             </td>
 758           </tr>
 759           <tr>
 760             <td class="nnns top capitalize italic water">
 761               <br />
 762             </td>
 763             <td class="snns top italic water">normal forms for context-sensitive reduction</td>
 764             <td class="snns top water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
 765             <td class="snnn top water">cnr_lift cnr_crr cnr_cir</td>
 766             <td class="snnn top water">
 767               <br />
 768             </td>
 769             <td class="ssnn top water">
 770               <br />
 771             </td>
 772           </tr>
 773           <tr>
 774             <td class="nnns top capitalize italic water">
 775               <br />
 776             </td>
 777             <td class="snns top italic water">context-sensitive reduction</td>
 778             <td class="snns top water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
 779             <td class="snnn top water">lpr_drop lpr_lpr</td>
 780             <td class="snnn top water">
 781               <br />
 782             </td>
 783             <td class="ssnn top water">
 784               <br />
 785             </td>
 786           </tr>
 787           <tr>
 788             <td class="nnns top capitalize italic water">
 789               <br />
 790             </td>
 791             <td class="nnns top italic water">
 792               <br />
 793             </td>
 794             <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
 795             <td class="snnn top water">cpr_lift cpr_llpx_sn cpr_cir</td>
 796             <td class="snnn top water">
 797               <br />
 798             </td>
 799             <td class="ssnn top water">
 800               <br />
 801             </td>
 802           </tr>
 803           <tr>
 804             <td class="nnns top capitalize italic water">
 805               <br />
 806             </td>
 807             <td class="snns top italic water">irreducible forms for context-sensitive reduction</td>
 808             <td class="snns top water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
 809             <td class="snnn top water">cir_lift</td>
 810             <td class="snnn top water">
 811               <br />
 812             </td>
 813             <td class="ssnn top water">
 814               <br />
 815             </td>
 816           </tr>
 817           <tr>
 818             <td class="nnns top capitalize italic water">
 819               <br />
 820             </td>
 821             <td class="snns top italic water">reducible forms for context-sensitive reduction</td>
 822             <td class="snns top water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
 823             <td class="snnn top water">crr_lift</td>
 824             <td class="snnn top water">
 825               <br />
 826             </td>
 827             <td class="ssnn top water">
 828               <br />
 829             </td>
 830           </tr>
 831           <tr>
 832             <td class="snns top capitalize italic green">unfold</td>
 833             <td class="snns top italic green">unfold</td>
 834             <td class="snns top green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
 835             <td class="snnn top green">
 836               <br />
 837             </td>
 838             <td class="snnn top green">
 839               <br />
 840             </td>
 841             <td class="ssnn top green">
 842               <br />
 843             </td>
 844           </tr>
 845           <tr>
 846             <td class="nnns top capitalize italic green">
 847               <br />
 848             </td>
 849             <td class="snns top italic green">iterated static type assignment</td>
 850             <td class="snns top green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
 851             <td class="snnn top green">lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas</td>
 852             <td class="snnn top green">
 853               <br />
 854             </td>
 855             <td class="ssnn top green">
 856               <br />
 857             </td>
 858           </tr>
 859           <tr>
 860             <td class="snns top capitalize italic grass">static typing</td>
 861             <td class="snns top italic grass">local env. ref. for degree assignment</td>
 862             <td class="snns top grass">lsubd ( ? ⊢ ? ⫃▪[?,?] ? )</td>
 863             <td class="snnn top grass">lsubd_da lsubd_lsubd</td>
 864             <td class="snnn top grass">
 865               <br />
 866             </td>
 867             <td class="ssnn top grass">
 868               <br />
 869             </td>
 870           </tr>
 871           <tr>
 872             <td class="nnns top capitalize italic grass">
 873               <br />
 874             </td>
 875             <td class="snns top italic grass">degree assignment</td>
 876             <td class="snns top grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
 877             <td class="snnn top grass">da_lift da_aaa da_da</td>
 878             <td class="snnn top grass">
 879               <br />
 880             </td>
 881             <td class="ssnn top grass">
 882               <br />
 883             </td>
 884           </tr>
 885           <tr>
 886             <td class="nnns top capitalize italic grass">
 887               <br />
 888             </td>
 889             <td class="snns top italic grass">parameters</td>
 890             <td class="snns top grass">sh</td>
 891             <td class="snnn top grass">sd</td>
 892             <td class="snnn top grass">
 893               <br />
 894             </td>
 895             <td class="ssnn top grass">
 896               <br />
 897             </td>
 898           </tr>
 899           <tr>
 900             <td class="nnns top capitalize italic grass">
 901               <br />
 902             </td>
 903             <td class="snns top italic grass">local env. ref. for atomic arity assignment</td>
 904             <td class="snns top grass">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
 905             <td class="snnn top grass">lsuba_aaa lsuba_lsuba</td>
 906             <td class="snnn top grass">
 907               <br />
 908             </td>
 909             <td class="ssnn top grass">
 910               <br />
 911             </td>
 912           </tr>
 913           <tr>
 914             <td class="nnns top capitalize italic grass">
 915               <br />
 916             </td>
 917             <td class="snns top italic grass">atomic arity assignment</td>
 918             <td class="snns top grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
 919             <td class="snnn top grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
 920             <td class="snnn top grass">
 921               <br />
 922             </td>
 923             <td class="ssnn top grass">
 924               <br />
 925             </td>
 926           </tr>
 927           <tr>
 928             <td class="nnns top capitalize italic grass">
 929               <br />
 930             </td>
 931             <td class="snns top italic grass">restricted local env. ref.</td>
 932             <td class="snns top grass">lsubr ( ? ⫃ ? )</td>
 933             <td class="snnn top grass">lsubr_lsubr</td>
 934             <td class="snnn top grass">
 935               <br />
 936             </td>
 937             <td class="ssnn top grass">
 938               <br />
 939             </td>
 940           </tr>
 941           <tr>
 942             <td class="snns top capitalize italic yellow">multiple substitution</td>
 943             <td class="snns top italic yellow">lazy equivalence</td>
 944             <td class="snns top yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
 945             <td class="snnn top yellow">fleq_fleq</td>
 946             <td class="snnn top yellow">
 947               <br />
 948             </td>
 949             <td class="ssnn top yellow">
 950               <br />
 951             </td>
 952           </tr>
 953           <tr>
 954             <td class="nnns top capitalize italic yellow">
 955               <br />
 956             </td>
 957             <td class="nnns top italic yellow">
 958               <br />
 959             </td>
 960             <td class="snns top yellow">lleq ( ? ≡[?,?] ? )</td>
 961             <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
 962             <td class="snnn top yellow">
 963               <br />
 964             </td>
 965             <td class="ssnn top yellow">
 966               <br />
 967             </td>
 968           </tr>
 969           <tr>
 970             <td class="nnns top capitalize italic yellow">
 971               <br />
 972             </td>
 973             <td class="snns top italic yellow">lazy pointwise extension of a relation</td>
 974             <td class="snns top yellow">llpx_sn</td>
 975             <td class="snnn top yellow">llpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_lreq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor</td>
 976             <td class="snnn top yellow">
 977               <br />
 978             </td>
 979             <td class="ssnn top yellow">
 980               <br />
 981             </td>
 982           </tr>
 983           <tr>
 984             <td class="nnns top capitalize italic yellow">
 985               <br />
 986             </td>
 987             <td class="snns top italic yellow">pointwise union for local environments</td>
 988             <td class="snns top yellow">llor ( ? ⋓[?,?] ? ≡ ? )</td>
 989             <td class="snnn top yellow">llor_alt llor_drop</td>
 990             <td class="snnn top yellow">
 991               <br />
 992             </td>
 993             <td class="ssnn top yellow">
 994               <br />
 995             </td>
 996           </tr>
 997           <tr>
 998             <td class="nnns top capitalize italic yellow">
 999               <br />
1000             </td>
1001             <td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
1002             <td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
1003             <td class="snnn top yellow">frees_append frees_lreq frees_lift</td>
1004             <td class="snnn top yellow">
1005               <br />
1006             </td>
1007             <td class="ssnn top yellow">
1008               <br />
1009             </td>
1010           </tr>
1011           <tr>
1012             <td class="nnns top capitalize italic yellow">
1013               <br />
1014             </td>
1015             <td class="snns top italic yellow">contxt-sensitive multiple rt-substitution</td>
1016             <td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
1017             <td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
1018             <td class="snnn top yellow">cpys_lift cpys_cpys</td>
1019             <td class="ssnn top yellow">
1020               <br />
1021             </td>
1022           </tr>
1023           <tr>
1024             <td class="nnns top capitalize italic yellow">
1025               <br />
1026             </td>
1027             <td class="snns top italic yellow">iterated structural successor for closures</td>
1028             <td class="snns top yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
1029             <td class="snnn top yellow">fqus_alt fqus_fqus</td>
1030             <td class="snnn top yellow">
1031               <br />
1032             </td>
1033             <td class="ssnn top yellow">
1034               <br />
1035             </td>
1036           </tr>
1037           <tr>
1038             <td class="nnns top capitalize italic yellow">
1039               <br />
1040             </td>
1041             <td class="nnns top italic yellow">
1042               <br />
1043             </td>
1044             <td class="snns top yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
1045             <td class="snnn top yellow">fqup_fqup</td>
1046             <td class="snnn top yellow">
1047               <br />
1048             </td>
1049             <td class="ssnn top yellow">
1050               <br />
1051             </td>
1052           </tr>
1053           <tr>
1054             <td class="nnns top capitalize italic yellow">
1055               <br />
1056             </td>
1057             <td class="snns top italic yellow">iterated local env. slicing</td>
1058             <td class="snns top yellow">drops ( ⬇*[?,?] ? ≡ ? )</td>
1059             <td class="snnn top yellow">drops_drop drops_drops</td>
1060             <td class="snnn top yellow">
1061               <br />
1062             </td>
1063             <td class="ssnn top yellow">
1064               <br />
1065             </td>
1066           </tr>
1067           <tr>
1068             <td class="nnns top capitalize italic yellow">
1069               <br />
1070             </td>
1071             <td class="snns top italic yellow">generic term relocation</td>
1072             <td class="snns top yellow">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
1073             <td class="snnn top yellow">lifts_lift_vector</td>
1074             <td class="snnn top yellow">
1075               <br />
1076             </td>
1077             <td class="ssnn top yellow">
1078               <br />
1079             </td>
1080           </tr>
1081           <tr>
1082             <td class="nnns top capitalize italic yellow">
1083               <br />
1084             </td>
1085             <td class="nnns top italic yellow">
1086               <br />
1087             </td>
1088             <td class="snns top yellow">lifts ( ⬆*[?] ? ≡ ? )</td>
1089             <td class="snnn top yellow">lifts_lift lifts_lifts</td>
1090             <td class="snnn top yellow">
1091               <br />
1092             </td>
1093             <td class="ssnn top yellow">
1094               <br />
1095             </td>
1096           </tr>
1097           <tr>
1098             <td class="nnns top capitalize italic yellow">
1099               <br />
1100             </td>
1101             <td class="snns top italic yellow">support for multiple relocation</td>
1102             <td class="snns top yellow">mr2 ( @⦃?,?⦄ ≡ ? )</td>
1103             <td class="snnn top yellow">mr2_plus ( ? + ? )</td>
1104             <td class="snnn top yellow">mr2_minus ( ? ▭ ? ≡ ? )</td>
1105             <td class="ssnn top yellow">mr2_mr2</td>
1106           </tr>
1107           <tr>
1108             <td class="snns top capitalize italic orange">substitution</td>
1109             <td class="snns top italic orange">structural successor for closures</td>
1110             <td class="snns top orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
1111             <td class="snnn top orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
1112             <td class="snnn top orange">
1113               <br />
1114             </td>
1115             <td class="ssnn top orange">
1116               <br />
1117             </td>
1118           </tr>
1119           <tr>
1120             <td class="nnns top capitalize italic orange">
1121               <br />
1122             </td>
1123             <td class="nnns top italic orange">
1124               <br />
1125             </td>
1126             <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
1127             <td class="snnn top orange">
1128               <br />
1129             </td>
1130             <td class="snnn top orange">
1131               <br />
1132             </td>
1133             <td class="ssnn top orange">
1134               <br />
1135             </td>
1136           </tr>
1137           <tr>
1138             <td class="nnns top capitalize italic orange">
1139               <br />
1140             </td>
1141             <td class="snns top italic orange">global env. slicing</td>
1142             <td class="snns top orange">gget ( ⬇[?] ? ≡ ? )</td>
1143             <td class="snnn top orange">gget_gget</td>
1144             <td class="snnn top orange">
1145               <br />
1146             </td>
1147             <td class="ssnn top orange">
1148               <br />
1149             </td>
1150           </tr>
1151           <tr>
1152             <td class="nnns top capitalize italic orange">
1153               <br />
1154             </td>
1155             <td class="snns top italic orange">contxt-sensitive ordinary rt-substitution</td>
1156             <td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
1157             <td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
1158             <td class="snnn top orange">
1159               <br />
1160             </td>
1161             <td class="ssnn top orange">
1162               <br />
1163             </td>
1164           </tr>
1165           <tr>
1166             <td class="nnns top capitalize italic orange">
1167               <br />
1168             </td>
1169             <td class="snns top italic orange">local env. ref. for rt-substitution</td>
1170             <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
1171             <td class="snnn top orange">lsuby_lsuby</td>
1172             <td class="snnn top orange">
1173               <br />
1174             </td>
1175             <td class="ssnn top orange">
1176               <br />
1177             </td>
1178           </tr>
1179           <tr>
1180             <td class="nnns top capitalize italic orange">
1181               <br />
1182             </td>
1183             <td class="snns top italic orange">pointwise extension of a relation</td>
1184             <td class="snns top orange">lpx_sn</td>
1185             <td class="snnn top orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
1186             <td class="snnn top orange">
1187               <br />
1188             </td>
1189             <td class="ssnn top orange">
1190               <br />
1191             </td>
1192           </tr>
1193           <tr>
1194             <td class="nnns top capitalize italic orange">
1195               <br />
1196             </td>
1197             <td class="snns top italic orange">basic local env. slicing</td>
1198             <td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
1199             <td class="snnn top orange">drop_append drop_lreq drop_drop</td>
1200             <td class="snnn top orange">
1201               <br />
1202             </td>
1203             <td class="ssnn top orange">
1204               <br />
1205             </td>
1206           </tr>
1207           <tr>
1208             <td class="nnns top capitalize italic orange">
1209               <br />
1210             </td>
1211             <td class="snns top italic orange">basic term relocation</td>
1212             <td class="snns top orange">lift_vector ( ⬆[?,?] ? ≡ ? )</td>
1213             <td class="snnn top orange">lift_lift_vector</td>
1214             <td class="snnn top orange">
1215               <br />
1216             </td>
1217             <td class="ssnn top orange">
1218               <br />
1219             </td>
1220           </tr>
1221           <tr>
1222             <td class="nnns top capitalize italic orange">
1223               <br />
1224             </td>
1225             <td class="nnns top italic orange">
1226               <br />
1227             </td>
1228             <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
1229             <td class="snnn top orange">lift_neq lift_lift</td>
1230             <td class="snnn top orange">
1231               <br />
1232             </td>
1233             <td class="ssnn top orange">
1234               <br />
1235             </td>
1236           </tr>
1237           <tr>
1238             <td class="snns top capitalize italic red">grammar</td>
1239             <td class="snns top italic red">equivalence for local environments</td>
1240             <td class="snns top red">lreq ( ? ⩬[?,?] ? )</td>
1241             <td class="snnn top red">lreq_lreq</td>
1242             <td class="snnn top red">
1243               <br />
1244             </td>
1245             <td class="ssnn top red">
1246               <br />
1247             </td>
1248           </tr>
1249           <tr>
1250             <td class="nnns top capitalize italic red">
1251               <br />
1252             </td>
1253             <td class="snns top italic red">same top term structure</td>
1254             <td class="snns top red">tsts ( ? ≂ ? )</td>
1255             <td class="snnn top red">tsts_tsts tsts_vector</td>
1256             <td class="snnn top red">
1257               <br />
1258             </td>
1259             <td class="ssnn top red">
1260               <br />
1261             </td>
1262           </tr>
1263           <tr>
1264             <td class="nnns top capitalize italic red">
1265               <br />
1266             </td>
1267             <td class="snns top italic red">closures</td>
1268             <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
1269             <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
1270             <td class="snnn top red">
1271               <br />
1272             </td>
1273             <td class="ssnn top red">
1274               <br />
1275             </td>
1276           </tr>
1277           <tr>
1278             <td class="nnns top capitalize italic red">
1279               <br />
1280             </td>
1281             <td class="snns top italic red">internal syntax</td>
1282             <td class="snns top red">genv</td>
1283             <td class="snnn top red">
1284               <br />
1285             </td>
1286             <td class="snnn top red">
1287               <br />
1288             </td>
1289             <td class="ssnn top red">
1290               <br />
1291             </td>
1292           </tr>
1293           <tr>
1294             <td class="nnns top capitalize italic red">
1295               <br />
1296             </td>
1297             <td class="nnns top italic red">
1298               <br />
1299             </td>
1300             <td class="snns top red">lenv</td>
1301             <td class="snnn top red">lenv_weight ( ♯{?} )</td>
1302             <td class="snnn top red">lenv_length ( |?| )</td>
1303             <td class="ssnn top red">lenv_append ( ? @@ ? )</td>
1304           </tr>
1305           <tr>
1306             <td class="nnns top capitalize italic red">
1307               <br />
1308             </td>
1309             <td class="nnns top italic red">
1310               <br />
1311             </td>
1312             <td class="snns top red">term</td>
1313             <td class="snnn top red">term_weight ( ♯{?} )</td>
1314             <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
1315             <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
1316           </tr>
1317           <tr>
1318             <td class="nnns top capitalize italic red">
1319               <br />
1320             </td>
1321             <td class="nnns top italic red">
1322               <br />
1323             </td>
1324             <td class="snns top red">item</td>
1325             <td class="snnn top red">
1326               <br />
1327             </td>
1328             <td class="snnn top red">
1329               <br />
1330             </td>
1331             <td class="ssnn top red">
1332               <br />
1333             </td>
1334           </tr>
1335           <tr>
1336             <td class="nnss top capitalize italic red">
1337               <br />
1338             </td>
1339             <td class="snss top italic red">external syntax</td>
1340             <td class="snss top red">aarity</td>
1341             <td class="snsn top red">
1342               <br />
1343             </td>
1344             <td class="snsn top red">
1345               <br />
1346             </td>
1347             <td class="sssn top red">
1348               <br />
1349             </td>
1350           </tr>
1351         </tbody>
1352       </table>
1353     </div>
1354     <div class="spacer">
1355       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
1356     </div>
1357     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1358       <br />
1359     </div>
1360     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1361       <a href="http://validator.w3.org/check?uri=referer">
1362         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
1363       </a>
1364       <a href="http://jigsaw.w3.org/css-validator/check/referer">
1365         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
1366       </a>
1367       <a href="http://www.w3.org/XML/">
1368         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
1369       </a>
1370       <a href="http://www.w3.org/Graphics/PNG/">
1371         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
1372       </a>
1373       <a href="http://www.anybrowser.org/campaign/">
1374         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
1375       </a>
1376     </div>
1377     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
1378       <br />
1379     </div>
1380     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 15 Jan 2015 16:54:45 +0100</div>
1381   </body>
1382 </html>