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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" />
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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="snnn capitalize italic green">
49               <br />
50             </td>
51             <td class="snns capitalize italic green">
52               <a href="http://lambdadelta.info/implementation.html">implementation</a>
53             </td>
54             <td class="ssnn capitalize italic green">
55               <br />
56             </td>
57           </tr>
58           <tr>
59             <td class="snns capitalize sky">
60               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
61             </td>
62             <td class="snns capitalize magenta">
63               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
64             </td>
65             <td class="snns capitalize orange">
66               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
67             </td>
68             <td class="snns capitalize green">
69               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
70             </td>
71             <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>
72             <td class="snnn capitalize green">
73               <br />
74             </td>
75             <td class="snns capitalize green">
76               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
77             </td>
78             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
79           </tr>
80           <tr>
81             <td class="snss capitalize sky">
82               <a href="http://lambdadelta.info/index.html#citations">citations</a>
83             </td>
84             <td class="snss capitalize magenta">
85               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
86             </td>
87             <td class="snss capitalize orange">
88               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
89             </td>
90             <td class="snss capitalize green">
91               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
92             </td>
93             <td class="snsn capitalize green">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
94             <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
95             <td class="snss capitalize green">
96               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
97             </td>
98             <td class="sssn capitalize green">
99               <br />
100             </td>
101           </tr>
102         </tbody>
103       </table>
104     </div>
105     <!--   
106    <section>System's Syntax and Behavior</section>
107    <body>This is a summary of the "block structure"
108          of the System's syntactic items and reductions.
109    </body>
110    <table name="basic_2_blk"/>
111    <body>* In terms only.
112          ** In terms and local environments only.
113          *** In global environments only.
114          **** Sort level k in terms only.
115    </body>
116 -->
117     <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" />
118     </div>
119     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
120          and its timeline.
121    </div>
122     <div xmlns:ld="http://lambdadelta.info/" class="text">
123       <table cellpadding="4" cellspacing="0">
124         <tbody>
125           <tr>
126             <td class="snns capitalize italic gray">category</td>
127             <td class="snns italic gray">objects</td>
128             <td class="snnn right italic gray">
129               <br />
130             </td>
131             <td class="snnn italic gray">
132               <br />
133             </td>
134             <td class="snnn right italic gray">
135               <br />
136             </td>
137             <td class="snnn italic gray">
138               <br />
139             </td>
140             <td class="ssnn right italic gray">
141               <br />
142             </td>
143           </tr>
144           <tr>
145             <td class="snns capitalize italic cyan">sizes</td>
146             <td class="snns italic cyan">files</td>
147             <td class="snnn right italic cyan">360</td>
148             <td class="snns italic cyan">characters</td>
149             <td class="snnn right italic cyan">433402</td>
150             <td class="snns italic cyan">nodes</td>
151             <td class="ssnn right italic cyan">1874778</td>
152           </tr>
153           <tr>
154             <td class="snns capitalize italic green">propositions</td>
155             <td class="snns italic green">theorems</td>
156             <td class="snnn right italic green">130</td>
157             <td class="snns italic green">lemmas</td>
158             <td class="snnn right italic green">1286</td>
159             <td class="snns italic green">total</td>
160             <td class="ssnn right italic green">1416</td>
161           </tr>
162           <tr>
163             <td class="snss capitalize italic yellow">concepts</td>
164             <td class="snss italic yellow">declared</td>
165             <td class="snsn right italic yellow">54</td>
166             <td class="snss italic yellow">defined</td>
167             <td class="snsn right italic yellow">89</td>
168             <td class="snss italic yellow">total</td>
169             <td class="sssn right italic yellow">143</td>
170           </tr>
171         </tbody>
172       </table>
173     </div>
174     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
175     <ul xmlns:ld="http://lambdadelta.info/">
176       <li>
177         <span class="emph alpha">Ongoing.</span>
178          Context-sensitive subject equivalence
179          for native type assignment.
180    </li>
181     </ul>
182     <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A">Stage "A": "Extending the Applicability Condition"</div>
183     <ul xmlns:ld="http://lambdadelta.info/">
184       <li>
185         <span class="emph gamma">2014 October 28.</span>
186          λδ version 2A is released.
187    </li>
188     </ul>
189     <ul xmlns:ld="http://lambdadelta.info/">
190       <li>
191         <span class="emph beta">2014 September 9.</span>
192          Iterated static type assignment defined (more elegantly)
193          as a primitive notion.
194    </li>
195     </ul>
196     <ul xmlns:ld="http://lambdadelta.info/">
197       <li>
198         <span class="emph beta">2014 June 18.</span>
199          Preservation of stratified native validity
200          for context-sensitive computation on terms.
201    </li>
202     </ul>
203     <ul xmlns:ld="http://lambdadelta.info/">
204       <li>
205         <span class="emph alpha">2014 June 9.</span>
206          Strong qrst-normalization
207          for simply typed terms.
208    </li>
209     </ul>
210     <ul xmlns:ld="http://lambdadelta.info/">
211       <li>
212         <span class="emph alpha">2014 April 16.</span>
213          Lazy equivalence on local environments
214          added as q-step to rst-computation on closures
215          (anniversary milestone).
216    </li>
217     </ul>
218     <ul xmlns:ld="http://lambdadelta.info/">
219       <li>
220         <span class="emph alpha">2014 January 20.</span>
221          Parametrized slicing of local environments
222          comprises both versions of this operation
223          (one from basic_1, the other used in basic_2 till now).
224    </li>
225     </ul>
226     <ul xmlns:ld="http://lambdadelta.info/">
227       <li>
228         <span class="emph alpha">2013 August 7.</span>
229          Passive support for global environments.
230    </li>
231     </ul>
232     <ul xmlns:ld="http://lambdadelta.info/">
233       <li>
234         <span class="emph alpha">2013 July 27.</span>
235          Reaxiomatized β-reductum as in rt-reduction.
236    </li>
237     </ul>
238     <ul xmlns:ld="http://lambdadelta.info/">
239       <li>
240         <span class="emph alpha">2013 July 20.</span>
241          Context-sensitive strong rt-normalization
242          for simply typed terms.
243    </li>
244     </ul>
245     <ul xmlns:ld="http://lambdadelta.info/">
246       <li>
247         <span class="emph alpha">2013 April 16.</span>
248          Reaxiomatized substitution and reduction
249          commute with respect to subclosure
250          (anniversary milestone).
251    </li>
252     </ul>
253     <ul xmlns:ld="http://lambdadelta.info/">
254       <li>
255         <span class="emph alpha">2013 March 16.</span>
256          Mutual recursive preservation of stratified native validity
257          for rst-computation on closures.
258    </li>
259     </ul>
260     <ul xmlns:ld="http://lambdadelta.info/">
261       <li>
262         <span class="emph alpha">2012 October 16.</span>
263          Confluence for context-free parallel reduction on closures.
264    </li>
265     </ul>
266     <ul xmlns:ld="http://lambdadelta.info/">
267       <li>
268         <span class="emph alpha">2012 July 26.</span>
269          Term binders polarized to control ζ-reduction (not released).
270    </li>
271     </ul>
272     <ul xmlns:ld="http://lambdadelta.info/">
273       <li>
274         <span class="emph alpha">2012 April 16.</span>
275          Context-sensitive subject equivalence
276          for atomic arity assignment
277          (anniversary milestone).
278    </li>
279     </ul>
280     <ul xmlns:ld="http://lambdadelta.info/">
281       <li>
282         <span class="emph alpha">2012 March 15.</span>
283          Context-sensitive strong normalization
284          for simply typed terms.
285    </li>
286     </ul>
287     <ul xmlns:ld="http://lambdadelta.info/">
288       <li>
289         <span class="emph alpha">2012 January 27.</span>
290          Support for abstract candidates of reducibility.
291    </li>
292     </ul>
293     <ul xmlns:ld="http://lambdadelta.info/">
294       <li>
295         <span class="emph alpha">2011 September 21.</span>
296          Confluence for context-sensitive parallel reduction on terms.
297    </li>
298     </ul>
299     <ul xmlns:ld="http://lambdadelta.info/">
300       <li>
301         <span class="emph alpha">2011 September 6.</span>
302          Confluence for context-free parallel reduction on terms.
303    </li>
304     </ul>
305     <ul xmlns:ld="http://lambdadelta.info/">
306       <li>
307         <span class="emph alpha">2011 April 17.</span>
308          Specification starts.
309    </li>
310     </ul>
311     <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" />
312     </div>
313     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
314    </div>
315     <div xmlns:ld="http://lambdadelta.info/" class="text">
316       <table cellpadding="4" cellspacing="0">
317         <tbody>
318           <tr>
319             <td class="snns top capitalize italic gray">component</td>
320             <td class="snns top italic gray">plane</td>
321             <td class="snns top gray">files</td>
322             <td class="snnn top gray">
323               <br />
324             </td>
325             <td class="snnn top gray">
326               <br />
327             </td>
328             <td class="ssnn top gray">
329               <br />
330             </td>
331           </tr>
332           <tr>
333             <td class="snns top capitalize italic wine">examples</td>
334             <td class="snns top italic wine">terms with special features</td>
335             <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
336             <td class="snnn top wine">
337               <br />
338             </td>
339             <td class="snnn top wine">
340               <br />
341             </td>
342             <td class="ssnn top wine">
343               <br />
344             </td>
345           </tr>
346           <tr>
347             <td class="snns top capitalize italic magenta" />
348             <td class="snns top italic magenta" />
349             <td class="snns top magenta" />
350             <td class="snnn top magenta">
351               <br />
352             </td>
353             <td class="snnn top magenta">
354               <br />
355             </td>
356             <td class="ssnn top magenta">
357               <br />
358             </td>
359           </tr>
360           <tr>
361             <td class="snns top capitalize italic prune">dynamic typing</td>
362             <td class="snns top italic prune">local env. ref. for stratified native validity</td>
363             <td class="snns top prune">lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )</td>
364             <td class="snnn top prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv</td>
365             <td class="snnn top prune">
366               <br />
367             </td>
368             <td class="ssnn top prune">
369               <br />
370             </td>
371           </tr>
372           <tr>
373             <td class="nnns top capitalize italic prune">
374               <br />
375             </td>
376             <td class="snns top italic prune">stratified native validity</td>
377             <td class="snns top prune">shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )</td>
378             <td class="snnn top prune">
379               <br />
380             </td>
381             <td class="snnn top prune">
382               <br />
383             </td>
384             <td class="ssnn top prune">
385               <br />
386             </td>
387           </tr>
388           <tr>
389             <td class="nnns top capitalize italic prune">
390               <br />
391             </td>
392             <td class="nnns top italic prune">
393               <br />
394             </td>
395             <td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
396             <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>
397             <td class="snnn top prune">
398               <br />
399             </td>
400             <td class="ssnn top prune">
401               <br />
402             </td>
403           </tr>
404           <tr>
405             <td class="snns top capitalize italic blue">equivalence</td>
406             <td class="snns top italic blue">decomposed rt-equivalence</td>
407             <td class="snns top blue">scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )</td>
408             <td class="snnn top blue">scpes_aaa scpes_cpcs scpes_scpes</td>
409             <td class="snnn top blue">
410               <br />
411             </td>
412             <td class="ssnn top blue">
413               <br />
414             </td>
415           </tr>
416           <tr>
417             <td class="nnns top capitalize italic blue">
418               <br />
419             </td>
420             <td class="snns top italic blue">context-sensitive equivalence</td>
421             <td class="snns top blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
422             <td class="snnn top blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
423             <td class="snnn top blue">
424               <br />
425             </td>
426             <td class="ssnn top blue">
427               <br />
428             </td>
429           </tr>
430           <tr>
431             <td class="snns top capitalize italic sky">conversion</td>
432             <td class="snns top italic sky">context-sensitive conversion</td>
433             <td class="snns top sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
434             <td class="snnn top sky">cpc_cpc</td>
435             <td class="snnn top sky">
436               <br />
437             </td>
438             <td class="ssnn top sky">
439               <br />
440             </td>
441           </tr>
442           <tr>
443             <td class="snns top capitalize italic cyan">computation</td>
444             <td class="snns top italic cyan">evaluation for context-sensitive rt-reduction</td>
445             <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
446             <td class="snnn top cyan">
447               <br />
448             </td>
449             <td class="snnn top cyan">
450               <br />
451             </td>
452             <td class="ssnn top cyan">
453               <br />
454             </td>
455           </tr>
456           <tr>
457             <td class="nnns top capitalize italic cyan">
458               <br />
459             </td>
460             <td class="snns top italic cyan">evaluation for context-sensitive reduction</td>
461             <td class="snns top cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
462             <td class="snnn top cyan">cpre_cpre</td>
463             <td class="snnn top cyan">
464               <br />
465             </td>
466             <td class="ssnn top cyan">
467               <br />
468             </td>
469           </tr>
470           <tr>
471             <td class="nnns top capitalize italic cyan">
472               <br />
473             </td>
474             <td class="snns top italic cyan">strongly normalizing qrst-computation</td>
475             <td class="snns top cyan">fsb ( ⦥[?,?] ⦃?,?,?⦄ )</td>
476             <td class="snnn top cyan">fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )</td>
477             <td class="snnn top cyan">fsb_aaa fsb_csx</td>
478             <td class="ssnn top cyan">
479               <br />
480             </td>
481           </tr>
482           <tr>
483             <td class="nnns top capitalize italic cyan">
484               <br />
485             </td>
486             <td class="snns top italic cyan">strongly normalizing rt-computation</td>
487             <td class="snns top cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
488             <td class="snnn top cyan">lcosx_cpx</td>
489             <td class="snnn top cyan">
490               <br />
491             </td>
492             <td class="ssnn top cyan">
493               <br />
494             </td>
495           </tr>
496           <tr>
497             <td class="nnns top capitalize italic cyan">
498               <br />
499             </td>
500             <td class="nnns top italic cyan">
501               <br />
502             </td>
503             <td class="snns top cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
504             <td class="snnn top cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
505             <td class="snnn top cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
506             <td class="ssnn top cyan">
507               <br />
508             </td>
509           </tr>
510           <tr>
511             <td class="nnns top capitalize italic cyan">
512               <br />
513             </td>
514             <td class="nnns top italic cyan">
515               <br />
516             </td>
517             <td class="snns top cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
518             <td class="snnn top cyan">csx_tsts_vector csx_aaa</td>
519             <td class="snnn top cyan">
520               <br />
521             </td>
522             <td class="ssnn top cyan">
523               <br />
524             </td>
525           </tr>
526           <tr>
527             <td class="nnns top capitalize italic cyan">
528               <br />
529             </td>
530             <td class="nnns top italic cyan">
531               <br />
532             </td>
533             <td class="snns top cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
534             <td class="snnn top cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
535             <td class="snnn top cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
536             <td class="ssnn top cyan">
537               <br />
538             </td>
539           </tr>
540           <tr>
541             <td class="nnns top capitalize italic cyan">
542               <br />
543             </td>
544             <td class="snns top italic cyan">parallel qrst-computation</td>
545             <td class="snns top cyan">fpbg ( ⦃?,?,?⦄ &gt;≡[?,?] ⦃?,?,?⦄ )</td>
546             <td class="snnn top cyan">fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg</td>
547             <td class="snnn top cyan">
548               <br />
549             </td>
550             <td class="ssnn top cyan">
551               <br />
552             </td>
553           </tr>
554           <tr>
555             <td class="nnns top capitalize italic cyan">
556               <br />
557             </td>
558             <td class="nnns top italic cyan">
559               <br />
560             </td>
561             <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
562             <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
563             <td class="snnn top cyan">fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs</td>
564             <td class="ssnn top cyan">
565               <br />
566             </td>
567           </tr>
568           <tr>
569             <td class="nnns top capitalize italic cyan">
570               <br />
571             </td>
572             <td class="snns top italic cyan">decomposed rt-computation</td>
573             <td class="snns top cyan">scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )</td>
574             <td class="snnn top cyan">scpds_lift scpds_aaa scpds_scpds</td>
575             <td class="snnn top cyan">
576               <br />
577             </td>
578             <td class="ssnn top cyan">
579               <br />
580             </td>
581           </tr>
582           <tr>
583             <td class="nnns top capitalize italic cyan">
584               <br />
585             </td>
586             <td class="snns top italic cyan">context-sensitive rt-computation</td>
587             <td class="snns top cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
588             <td class="snnn top cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
589             <td class="snnn top cyan">
590               <br />
591             </td>
592             <td class="ssnn top cyan">
593               <br />
594             </td>
595           </tr>
596           <tr>
597             <td class="nnns top capitalize italic cyan">
598               <br />
599             </td>
600             <td class="nnns top italic cyan">
601               <br />
602             </td>
603             <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
604             <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
605             <td class="snnn top cyan">
606               <br />
607             </td>
608             <td class="ssnn top cyan">
609               <br />
610             </td>
611           </tr>
612           <tr>
613             <td class="nnns top capitalize italic cyan">
614               <br />
615             </td>
616             <td class="snns top italic cyan">context-sensitive computation</td>
617             <td class="snns top cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
618             <td class="snnn top cyan">lprs_drop lprs_cprs lprs_lprs</td>
619             <td class="snnn top cyan">
620               <br />
621             </td>
622             <td class="ssnn top cyan">
623               <br />
624             </td>
625           </tr>
626           <tr>
627             <td class="nnns top capitalize italic cyan">
628               <br />
629             </td>
630             <td class="nnns top italic cyan">
631               <br />
632             </td>
633             <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
634             <td class="snnn top cyan">cprs_lift cprs_cprs</td>
635             <td class="snnn top cyan">
636               <br />
637             </td>
638             <td class="ssnn top cyan">
639               <br />
640             </td>
641           </tr>
642           <tr>
643             <td class="nnns top capitalize italic cyan">
644               <br />
645             </td>
646             <td class="snns top italic cyan">local env. ref. for generic reducibility</td>
647             <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
648             <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
649             <td class="snnn top cyan">
650               <br />
651             </td>
652             <td class="ssnn top cyan">
653               <br />
654             </td>
655           </tr>
656           <tr>
657             <td class="nnns top capitalize italic cyan">
658               <br />
659             </td>
660             <td class="snns top italic cyan">support for generic computation properties</td>
661             <td class="snns top cyan">gcp</td>
662             <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
663             <td class="snnn top cyan">gcp_aaa</td>
664             <td class="ssnn top cyan">
665               <br />
666             </td>
667           </tr>
668           <tr>
669             <td class="snns top capitalize italic water">reduction</td>
670             <td class="snns top italic water">parallel qrst-reduction</td>
671             <td class="snns top water">fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
672             <td class="snnn top water">fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )</td>
673             <td class="snnn top water">fpbq_lift fpbq_aaa</td>
674             <td class="ssnn top water">
675               <br />
676             </td>
677           </tr>
678           <tr>
679             <td class="nnns top capitalize italic water">
680               <br />
681             </td>
682             <td class="nnns top italic water">
683               <br />
684             </td>
685             <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
686             <td class="snnn top water">fpb_lift fpb_lleq fpb_fleq</td>
687             <td class="snnn top water">
688               <br />
689             </td>
690             <td class="ssnn top water">
691               <br />
692             </td>
693           </tr>
694           <tr>
695             <td class="nnns top capitalize italic water">
696               <br />
697             </td>
698             <td class="snns top italic water">normal forms for context-sensitive rt-reduction</td>
699             <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
700             <td class="snnn top water">cnx_lift cnx_crx cnx_cix</td>
701             <td class="snnn top water">
702               <br />
703             </td>
704             <td class="ssnn top water">
705               <br />
706             </td>
707           </tr>
708           <tr>
709             <td class="nnns top capitalize italic water">
710               <br />
711             </td>
712             <td class="snns top italic water">context-sensitive rt-reduction</td>
713             <td class="snns top water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
714             <td class="snnn top water">lpx_drop lpx_frees lpx_lleq lpx_aaa</td>
715             <td class="snnn top water">
716               <br />
717             </td>
718             <td class="ssnn top water">
719               <br />
720             </td>
721           </tr>
722           <tr>
723             <td class="nnns top capitalize italic water">
724               <br />
725             </td>
726             <td class="nnns top italic water">
727               <br />
728             </td>
729             <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
730             <td class="snnn top water">cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
731             <td class="snnn top water">
732               <br />
733             </td>
734             <td class="ssnn top water">
735               <br />
736             </td>
737           </tr>
738           <tr>
739             <td class="nnns top capitalize italic water">
740               <br />
741             </td>
742             <td class="snns top italic water">irreducible forms for context-sensitive rt-reduction</td>
743             <td class="snns top water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
744             <td class="snnn top water">cix_lift</td>
745             <td class="snnn top water">
746               <br />
747             </td>
748             <td class="ssnn top water">
749               <br />
750             </td>
751           </tr>
752           <tr>
753             <td class="nnns top capitalize italic water">
754               <br />
755             </td>
756             <td class="snns top italic water">reducible forms for context-sensitive rt-reduction</td>
757             <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
758             <td class="snnn top water">crx_lift</td>
759             <td class="snnn top water">
760               <br />
761             </td>
762             <td class="ssnn top water">
763               <br />
764             </td>
765           </tr>
766           <tr>
767             <td class="nnns top capitalize italic water">
768               <br />
769             </td>
770             <td class="snns top italic water">normal forms for context-sensitive reduction</td>
771             <td class="snns top water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
772             <td class="snnn top water">cnr_lift cnr_crr cnr_cir</td>
773             <td class="snnn top water">
774               <br />
775             </td>
776             <td class="ssnn top water">
777               <br />
778             </td>
779           </tr>
780           <tr>
781             <td class="nnns top capitalize italic water">
782               <br />
783             </td>
784             <td class="snns top italic water">context-sensitive reduction</td>
785             <td class="snns top water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
786             <td class="snnn top water">lpr_drop lpr_lpr</td>
787             <td class="snnn top water">
788               <br />
789             </td>
790             <td class="ssnn top water">
791               <br />
792             </td>
793           </tr>
794           <tr>
795             <td class="nnns top capitalize italic water">
796               <br />
797             </td>
798             <td class="nnns top italic water">
799               <br />
800             </td>
801             <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
802             <td class="snnn top water">cpr_lift cpr_llpx_sn cpr_cir</td>
803             <td class="snnn top water">
804               <br />
805             </td>
806             <td class="ssnn top water">
807               <br />
808             </td>
809           </tr>
810           <tr>
811             <td class="nnns top capitalize italic water">
812               <br />
813             </td>
814             <td class="snns top italic water">irreducible forms for context-sensitive reduction</td>
815             <td class="snns top water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
816             <td class="snnn top water">cir_lift</td>
817             <td class="snnn top water">
818               <br />
819             </td>
820             <td class="ssnn top water">
821               <br />
822             </td>
823           </tr>
824           <tr>
825             <td class="nnns top capitalize italic water">
826               <br />
827             </td>
828             <td class="snns top italic water">reducible forms for context-sensitive reduction</td>
829             <td class="snns top water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
830             <td class="snnn top water">crr_lift</td>
831             <td class="snnn top water">
832               <br />
833             </td>
834             <td class="ssnn top water">
835               <br />
836             </td>
837           </tr>
838           <tr>
839             <td class="snns top capitalize italic green">unfold</td>
840             <td class="snns top italic green">unfold</td>
841             <td class="snns top green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
842             <td class="snnn top green">
843               <br />
844             </td>
845             <td class="snnn top green">
846               <br />
847             </td>
848             <td class="ssnn top green">
849               <br />
850             </td>
851           </tr>
852           <tr>
853             <td class="nnns top capitalize italic green">
854               <br />
855             </td>
856             <td class="snns top italic green">iterated static type assignment</td>
857             <td class="snns top green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
858             <td class="snnn top green">lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas</td>
859             <td class="snnn top green">
860               <br />
861             </td>
862             <td class="ssnn top green">
863               <br />
864             </td>
865           </tr>
866           <tr>
867             <td class="snns top capitalize italic grass">static typing</td>
868             <td class="snns top italic grass">local env. ref. for degree assignment</td>
869             <td class="snns top grass">lsubd ( ? ⊢ ? ⫃▪[?,?] ? )</td>
870             <td class="snnn top grass">lsubd_da lsubd_lsubd</td>
871             <td class="snnn top grass">
872               <br />
873             </td>
874             <td class="ssnn top grass">
875               <br />
876             </td>
877           </tr>
878           <tr>
879             <td class="nnns top capitalize italic grass">
880               <br />
881             </td>
882             <td class="snns top italic grass">degree assignment</td>
883             <td class="snns top grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
884             <td class="snnn top grass">da_lift da_aaa da_da</td>
885             <td class="snnn top grass">
886               <br />
887             </td>
888             <td class="ssnn top grass">
889               <br />
890             </td>
891           </tr>
892           <tr>
893             <td class="nnns top capitalize italic grass">
894               <br />
895             </td>
896             <td class="snns top italic grass">parameters</td>
897             <td class="snns top grass">sh</td>
898             <td class="snnn top grass">sd</td>
899             <td class="snnn top grass">
900               <br />
901             </td>
902             <td class="ssnn top grass">
903               <br />
904             </td>
905           </tr>
906           <tr>
907             <td class="nnns top capitalize italic grass">
908               <br />
909             </td>
910             <td class="snns top italic grass">local env. ref. for atomic arity assignment</td>
911             <td class="snns top grass">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
912             <td class="snnn top grass">lsuba_aaa lsuba_lsuba</td>
913             <td class="snnn top grass">
914               <br />
915             </td>
916             <td class="ssnn top grass">
917               <br />
918             </td>
919           </tr>
920           <tr>
921             <td class="nnns top capitalize italic grass">
922               <br />
923             </td>
924             <td class="snns top italic grass">atomic arity assignment</td>
925             <td class="snns top grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
926             <td class="snnn top grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
927             <td class="snnn top grass">
928               <br />
929             </td>
930             <td class="ssnn top grass">
931               <br />
932             </td>
933           </tr>
934           <tr>
935             <td class="nnns top capitalize italic grass">
936               <br />
937             </td>
938             <td class="snns top italic grass">restricted local env. ref.</td>
939             <td class="snns top grass">lsubr ( ? ⫃ ? )</td>
940             <td class="snnn top grass">lsubr_lsubr</td>
941             <td class="snnn top grass">
942               <br />
943             </td>
944             <td class="ssnn top grass">
945               <br />
946             </td>
947           </tr>
948           <tr>
949             <td class="snns top capitalize italic yellow">multiple substitution</td>
950             <td class="snns top italic yellow">lazy equivalence</td>
951             <td class="snns top yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
952             <td class="snnn top yellow">fleq_fleq</td>
953             <td class="snnn top yellow">
954               <br />
955             </td>
956             <td class="ssnn top yellow">
957               <br />
958             </td>
959           </tr>
960           <tr>
961             <td class="nnns top capitalize italic yellow">
962               <br />
963             </td>
964             <td class="nnns top italic yellow">
965               <br />
966             </td>
967             <td class="snns top yellow">lleq ( ? ≡[?,?] ? )</td>
968             <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
969             <td class="snnn top yellow">
970               <br />
971             </td>
972             <td class="ssnn top yellow">
973               <br />
974             </td>
975           </tr>
976           <tr>
977             <td class="nnns top capitalize italic yellow">
978               <br />
979             </td>
980             <td class="snns top italic yellow">lazy pointwise extension of a relation</td>
981             <td class="snns top yellow">llpx_sn</td>
982             <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>
983             <td class="snnn top yellow">
984               <br />
985             </td>
986             <td class="ssnn top yellow">
987               <br />
988             </td>
989           </tr>
990           <tr>
991             <td class="nnns top capitalize italic yellow">
992               <br />
993             </td>
994             <td class="snns top italic yellow">pointwise union for local environments</td>
995             <td class="snns top yellow">llor ( ? ⋓[?,?] ? ≡ ? )</td>
996             <td class="snnn top yellow">llor_alt llor_drop</td>
997             <td class="snnn top yellow">
998               <br />
999             </td>
1000             <td class="ssnn top yellow">
1001               <br />
1002             </td>
1003           </tr>
1004           <tr>
1005             <td class="nnns top capitalize italic yellow">
1006               <br />
1007             </td>
1008             <td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
1009             <td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
1010             <td class="snnn top yellow">frees_append frees_lreq frees_lift</td>
1011             <td class="snnn top yellow">
1012               <br />
1013             </td>
1014             <td class="ssnn top yellow">
1015               <br />
1016             </td>
1017           </tr>
1018           <tr>
1019             <td class="nnns top capitalize italic yellow">
1020               <br />
1021             </td>
1022             <td class="snns top italic yellow">context-sensitive multiple rt-substitution</td>
1023             <td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
1024             <td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
1025             <td class="snnn top yellow">cpys_lift cpys_cpys</td>
1026             <td class="ssnn top yellow">
1027               <br />
1028             </td>
1029           </tr>
1030           <tr>
1031             <td class="nnns top capitalize italic yellow">
1032               <br />
1033             </td>
1034             <td class="snns top italic yellow">iterated structural successor for closures</td>
1035             <td class="snns top yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
1036             <td class="snnn top yellow">fqus_alt fqus_fqus</td>
1037             <td class="snnn top yellow">
1038               <br />
1039             </td>
1040             <td class="ssnn top yellow">
1041               <br />
1042             </td>
1043           </tr>
1044           <tr>
1045             <td class="nnns top capitalize italic yellow">
1046               <br />
1047             </td>
1048             <td class="nnns top italic yellow">
1049               <br />
1050             </td>
1051             <td class="snns top yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
1052             <td class="snnn top yellow">fqup_fqup</td>
1053             <td class="snnn top yellow">
1054               <br />
1055             </td>
1056             <td class="ssnn top yellow">
1057               <br />
1058             </td>
1059           </tr>
1060           <tr>
1061             <td class="nnns top capitalize italic yellow">
1062               <br />
1063             </td>
1064             <td class="snns top italic yellow">iterated local env. slicing</td>
1065             <td class="snns top yellow">drops ( ⬇*[?,?] ? ≡ ? )</td>
1066             <td class="snnn top yellow">drops_drop drops_drops</td>
1067             <td class="snnn top yellow">
1068               <br />
1069             </td>
1070             <td class="ssnn top yellow">
1071               <br />
1072             </td>
1073           </tr>
1074           <tr>
1075             <td class="nnns top capitalize italic yellow">
1076               <br />
1077             </td>
1078             <td class="snns top italic yellow">generic term relocation</td>
1079             <td class="snns top yellow">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
1080             <td class="snnn top yellow">lifts_lift_vector</td>
1081             <td class="snnn top yellow">
1082               <br />
1083             </td>
1084             <td class="ssnn top yellow">
1085               <br />
1086             </td>
1087           </tr>
1088           <tr>
1089             <td class="nnns top capitalize italic yellow">
1090               <br />
1091             </td>
1092             <td class="nnns top italic yellow">
1093               <br />
1094             </td>
1095             <td class="snns top yellow">lifts ( ⬆*[?] ? ≡ ? )</td>
1096             <td class="snnn top yellow">lifts_lift lifts_lifts</td>
1097             <td class="snnn top yellow">
1098               <br />
1099             </td>
1100             <td class="ssnn top yellow">
1101               <br />
1102             </td>
1103           </tr>
1104           <tr>
1105             <td class="nnns top capitalize italic yellow">
1106               <br />
1107             </td>
1108             <td class="snns top italic yellow">support for multiple relocation</td>
1109             <td class="snns top yellow">mr2 ( @⦃?,?⦄ ≡ ? )</td>
1110             <td class="snnn top yellow">mr2_plus ( ? + ? )</td>
1111             <td class="snnn top yellow">mr2_minus ( ? ▭ ? ≡ ? )</td>
1112             <td class="ssnn top yellow">mr2_mr2</td>
1113           </tr>
1114           <tr>
1115             <td class="snns top capitalize italic orange">substitution</td>
1116             <td class="snns top italic orange">structural successor for closures</td>
1117             <td class="snns top orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
1118             <td class="snnn top orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
1119             <td class="snnn top orange">
1120               <br />
1121             </td>
1122             <td class="ssnn top orange">
1123               <br />
1124             </td>
1125           </tr>
1126           <tr>
1127             <td class="nnns top capitalize italic orange">
1128               <br />
1129             </td>
1130             <td class="nnns top italic orange">
1131               <br />
1132             </td>
1133             <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
1134             <td class="snnn top orange">
1135               <br />
1136             </td>
1137             <td class="snnn top orange">
1138               <br />
1139             </td>
1140             <td class="ssnn top orange">
1141               <br />
1142             </td>
1143           </tr>
1144           <tr>
1145             <td class="nnns top capitalize italic orange">
1146               <br />
1147             </td>
1148             <td class="snns top italic orange">global env. slicing</td>
1149             <td class="snns top orange">gget ( ⬇[?] ? ≡ ? )</td>
1150             <td class="snnn top orange">gget_gget</td>
1151             <td class="snnn top orange">
1152               <br />
1153             </td>
1154             <td class="ssnn top orange">
1155               <br />
1156             </td>
1157           </tr>
1158           <tr>
1159             <td class="nnns top capitalize italic orange">
1160               <br />
1161             </td>
1162             <td class="snns top italic orange">context-sensitive ordinary rt-substitution</td>
1163             <td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
1164             <td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
1165             <td class="snnn top orange">
1166               <br />
1167             </td>
1168             <td class="ssnn top orange">
1169               <br />
1170             </td>
1171           </tr>
1172           <tr>
1173             <td class="nnns top capitalize italic orange">
1174               <br />
1175             </td>
1176             <td class="snns top italic orange">local env. ref. for rt-substitution</td>
1177             <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
1178             <td class="snnn top orange">lsuby_lsuby</td>
1179             <td class="snnn top orange">
1180               <br />
1181             </td>
1182             <td class="ssnn top orange">
1183               <br />
1184             </td>
1185           </tr>
1186           <tr>
1187             <td class="nnns top capitalize italic orange">
1188               <br />
1189             </td>
1190             <td class="snns top italic orange">pointwise extension of a relation</td>
1191             <td class="snns top orange">lpx_sn</td>
1192             <td class="snnn top orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
1193             <td class="snnn top orange">
1194               <br />
1195             </td>
1196             <td class="ssnn top orange">
1197               <br />
1198             </td>
1199           </tr>
1200           <tr>
1201             <td class="nnns top capitalize italic orange">
1202               <br />
1203             </td>
1204             <td class="snns top italic orange">basic local env. slicing</td>
1205             <td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
1206             <td class="snnn top orange">drop_append drop_lreq drop_drop</td>
1207             <td class="snnn top orange">
1208               <br />
1209             </td>
1210             <td class="ssnn top orange">
1211               <br />
1212             </td>
1213           </tr>
1214           <tr>
1215             <td class="nnns top capitalize italic orange">
1216               <br />
1217             </td>
1218             <td class="snns top italic orange">basic term relocation</td>
1219             <td class="snns top orange">lift_vector ( ⬆[?,?] ? ≡ ? )</td>
1220             <td class="snnn top orange">lift_lift_vector</td>
1221             <td class="snnn top orange">
1222               <br />
1223             </td>
1224             <td class="ssnn top orange">
1225               <br />
1226             </td>
1227           </tr>
1228           <tr>
1229             <td class="nnns top capitalize italic orange">
1230               <br />
1231             </td>
1232             <td class="nnns top italic orange">
1233               <br />
1234             </td>
1235             <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
1236             <td class="snnn top orange">lift_neq lift_lift</td>
1237             <td class="snnn top orange">
1238               <br />
1239             </td>
1240             <td class="ssnn top orange">
1241               <br />
1242             </td>
1243           </tr>
1244           <tr>
1245             <td class="snns top capitalize italic red">grammar</td>
1246             <td class="snns top italic red">equivalence for local environments</td>
1247             <td class="snns top red">lreq ( ? ⩬[?,?] ? )</td>
1248             <td class="snnn top red">lreq_lreq</td>
1249             <td class="snnn top red">
1250               <br />
1251             </td>
1252             <td class="ssnn top red">
1253               <br />
1254             </td>
1255           </tr>
1256           <tr>
1257             <td class="nnns top capitalize italic red">
1258               <br />
1259             </td>
1260             <td class="snns top italic red">same top term structure</td>
1261             <td class="snns top red">tsts ( ? ≂ ? )</td>
1262             <td class="snnn top red">tsts_tsts tsts_vector</td>
1263             <td class="snnn top red">
1264               <br />
1265             </td>
1266             <td class="ssnn top red">
1267               <br />
1268             </td>
1269           </tr>
1270           <tr>
1271             <td class="nnns top capitalize italic red">
1272               <br />
1273             </td>
1274             <td class="snns top italic red">closures</td>
1275             <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
1276             <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
1277             <td class="snnn top red">
1278               <br />
1279             </td>
1280             <td class="ssnn top red">
1281               <br />
1282             </td>
1283           </tr>
1284           <tr>
1285             <td class="nnns top capitalize italic red">
1286               <br />
1287             </td>
1288             <td class="snns top italic red">internal syntax</td>
1289             <td class="snns top red">genv</td>
1290             <td class="snnn top red">
1291               <br />
1292             </td>
1293             <td class="snnn top red">
1294               <br />
1295             </td>
1296             <td class="ssnn top red">
1297               <br />
1298             </td>
1299           </tr>
1300           <tr>
1301             <td class="nnns top capitalize italic red">
1302               <br />
1303             </td>
1304             <td class="nnns top italic red">
1305               <br />
1306             </td>
1307             <td class="snns top red">lenv</td>
1308             <td class="snnn top red">lenv_weight ( ♯{?} )</td>
1309             <td class="snnn top red">lenv_length ( |?| )</td>
1310             <td class="ssnn top red">lenv_append ( ? @@ ? )</td>
1311           </tr>
1312           <tr>
1313             <td class="nnns top capitalize italic red">
1314               <br />
1315             </td>
1316             <td class="nnns top italic red">
1317               <br />
1318             </td>
1319             <td class="snns top red">term</td>
1320             <td class="snnn top red">term_weight ( ♯{?} )</td>
1321             <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
1322             <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
1323           </tr>
1324           <tr>
1325             <td class="nnns top capitalize italic red">
1326               <br />
1327             </td>
1328             <td class="nnns top italic red">
1329               <br />
1330             </td>
1331             <td class="snns top red">item</td>
1332             <td class="snnn top red">
1333               <br />
1334             </td>
1335             <td class="snnn top red">
1336               <br />
1337             </td>
1338             <td class="ssnn top red">
1339               <br />
1340             </td>
1341           </tr>
1342           <tr>
1343             <td class="nnss top capitalize italic red">
1344               <br />
1345             </td>
1346             <td class="snss top italic red">external syntax</td>
1347             <td class="snss top red">aarity</td>
1348             <td class="snsn top red">
1349               <br />
1350             </td>
1351             <td class="snsn top red">
1352               <br />
1353             </td>
1354             <td class="sssn top red">
1355               <br />
1356             </td>
1357           </tr>
1358         </tbody>
1359       </table>
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