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22 <div class="head1">cic:/matita/lambdadelta/basic_2/ (core λδ version 2)</div>
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29 <div xmlns:ld="http://lambdadelta.info/" class="text">
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33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/home.html">home</a>
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37 <a href="http://lambdadelta.info/news.html">news</a>
39 <td class="snns capitalize italic white">
40 <a href="http://lambdadelta.info/specification.html">specification</a>
42 <td class="snnn capitalize italic white">
45 <td class="snnn capitalize italic white">
48 <td class="snns capitalize italic orange">
49 <a href="http://lambdadelta.info/documentation.html">documentation</a>
51 <td class="snns capitalize italic green">
52 <a href="http://lambdadelta.info/implementation.html">implementation</a>
54 <td class="ssnn capitalize italic green">
59 <td class="snns capitalize sky">
60 <a href="http://lambdadelta.info/home.html#foreword">foreword</a>
62 <td class="snns capitalize magenta">
63 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
65 <td class="snns capitalize white">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <td class="snnn capitalize white">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
69 <td class="snnn capitalize white">
72 <td class="snns capitalize orange">
73 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
75 <td class="snns capitalize green">
76 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
78 <td class="ssnn capitalize green">
79 <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
83 <td class="snss capitalize sky">
84 <a href="http://lambdadelta.info/home.html#citations">citations</a>
86 <td class="snss capitalize magenta">
87 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
89 <td class="snss capitalize white">
90 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
92 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
93 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
94 <td class="snss capitalize orange">
95 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
97 <td class="snss capitalize green">
98 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
100 <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
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.
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.
117 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
119 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
122 <div xmlns:ld="http://lambdadelta.info/" class="text">
123 <table cellpadding="4" cellspacing="0">
126 <td class="snns capitalize italic gray">category</td>
127 <td class="snns italic gray">objects</td>
128 <td class="snnn right italic gray">
131 <td class="snnn italic gray">
134 <td class="snnn right italic gray">
137 <td class="snnn italic gray">
140 <td class="ssnn right italic gray">
145 <td class="snns capitalize italic cyan">sizes</td>
146 <td class="snns italic cyan">files</td>
147 <td class="snnn right italic cyan">238</td>
148 <td class="snns italic cyan">characters</td>
149 <td class="snnn right italic cyan">249398</td>
150 <td class="snns italic cyan">nodes</td>
151 <td class="ssnn right italic cyan">1213337</td>
154 <td class="snns capitalize italic green">propositions</td>
155 <td class="snns italic green">theorems</td>
156 <td class="snnn right italic green">63</td>
157 <td class="snns italic green">lemmas</td>
158 <td class="snnn right italic green">838</td>
159 <td class="snns italic green">total</td>
160 <td class="ssnn right italic green">901</td>
163 <td class="snss capitalize italic yellow">concepts</td>
164 <td class="snss italic yellow">declared</td>
165 <td class="snsn right italic yellow">30</td>
166 <td class="snss italic yellow">defined</td>
167 <td class="snsn right italic yellow">70</td>
168 <td class="snss italic yellow">total</td>
169 <td class="sssn right italic yellow">100</td>
174 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
175 <ul xmlns:ld="http://lambdadelta.info/">
177 <span class="emph alpha">Ongoing.</span>
178 Context-sensitive subject equivalence
179 for native type assignment.
182 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A2">Stage "A2": "Extending the Applicability Condition"</div>
183 <ul xmlns:ld="http://lambdadelta.info/">
185 <span class="emph alpha">2017 March 16.</span>
186 First behavioral component reconstructed:
190 <ul xmlns:ld="http://lambdadelta.info/">
192 <span class="emph alpha">2017 February 19.</span>
193 Generic candidates of reducibility.
196 <ul xmlns:ld="http://lambdadelta.info/">
198 <span class="emph alpha">2017 January 17.</span>
199 Confluence for parallel r-transition on referred entries of local environments.
202 <ul xmlns:ld="http://lambdadelta.info/">
204 <span class="emph alpha">2016 September 15.</span>
205 Confluence for context-sensitive parallel r-transition on terms.
208 <ul xmlns:ld="http://lambdadelta.info/">
210 <span class="emph alpha">2016 April 16.</span>
211 Syntactic component reconstructed:
212 syntax, relocation, s_transition, s_computation, static
213 (anniversary milestone).
216 <ul xmlns:ld="http://lambdadelta.info/">
218 <span class="emph alpha">2016 March 25.</span>
219 Relocation with reference transforming maps (rtmap).
222 <ul xmlns:ld="http://lambdadelta.info/">
224 <span class="emph alpha">2015 October 9.</span>
225 λδ version 2A2 is started.
228 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A1">Stage "A1": "Extending the Applicability Condition"</div>
229 <ul xmlns:ld="http://lambdadelta.info/">
231 <span class="emph delta">2015 August 27.</span>
232 λδ version 2A1 appears too complex and is dismissed.
235 <ul xmlns:ld="http://lambdadelta.info/">
237 <span class="emph gamma">2014 October 28.</span>
238 λδ version 2A1 is released.
241 <ul xmlns:ld="http://lambdadelta.info/">
243 <span class="emph beta">2014 September 9.</span>
244 Iterated static type assignment defined (more elegantly)
245 as a primitive notion.
248 <ul xmlns:ld="http://lambdadelta.info/">
250 <span class="emph beta">2014 June 18.</span>
251 Preservation of stratified native validity
252 for context-sensitive computation on terms.
255 <ul xmlns:ld="http://lambdadelta.info/">
257 <span class="emph alpha">2014 June 9.</span>
258 Strong qrst-normalization
259 for simply typed terms.
262 <ul xmlns:ld="http://lambdadelta.info/">
264 <span class="emph alpha">2014 April 16.</span>
265 Lazy equivalence on local environments
266 added as q-step to rst-computation on closures
267 (anniversary milestone).
270 <ul xmlns:ld="http://lambdadelta.info/">
272 <span class="emph alpha">2014 January 20.</span>
273 Parametrized slicing of local environments
274 comprises both versions of this operation
275 (one from basic_1, the other used in basic_2 till now).
278 <ul xmlns:ld="http://lambdadelta.info/">
280 <span class="emph alpha">2013 August 7.</span>
281 Passive support for global environments.
284 <ul xmlns:ld="http://lambdadelta.info/">
286 <span class="emph alpha">2013 July 27.</span>
287 Reaxiomatized β-reductum as in rt-reduction.
290 <ul xmlns:ld="http://lambdadelta.info/">
292 <span class="emph alpha">2013 July 20.</span>
293 Context-sensitive strong rt-normalization
294 for simply typed terms.
297 <ul xmlns:ld="http://lambdadelta.info/">
299 <span class="emph alpha">2013 April 16.</span>
300 Reaxiomatized substitution and reduction
301 commute with respect to subclosure
302 (anniversary milestone).
305 <ul xmlns:ld="http://lambdadelta.info/">
307 <span class="emph alpha">2013 March 16.</span>
308 Mutual recursive preservation of stratified native validity
309 for rst-computation on closures.
312 <ul xmlns:ld="http://lambdadelta.info/">
314 <span class="emph alpha">2012 October 16.</span>
315 Confluence for context-free parallel reduction on closures.
318 <ul xmlns:ld="http://lambdadelta.info/">
320 <span class="emph alpha">2012 July 26.</span>
321 Term binders polarized to control ζ-reduction (not released).
324 <ul xmlns:ld="http://lambdadelta.info/">
326 <span class="emph alpha">2012 April 16.</span>
327 Context-sensitive subject equivalence
328 for atomic arity assignment
329 (anniversary milestone).
332 <ul xmlns:ld="http://lambdadelta.info/">
334 <span class="emph alpha">2012 March 15.</span>
335 Context-sensitive strong normalization
336 for simply typed terms.
339 <ul xmlns:ld="http://lambdadelta.info/">
341 <span class="emph alpha">2012 January 27.</span>
342 Generic candidates of reducibility.
345 <ul xmlns:ld="http://lambdadelta.info/">
347 <span class="emph alpha">2011 September 21.</span>
348 Confluence for context-sensitive parallel reduction on terms.
351 <ul xmlns:ld="http://lambdadelta.info/">
353 <span class="emph alpha">2011 September 6.</span>
354 Confluence for context-free parallel reduction on terms.
357 <ul xmlns:ld="http://lambdadelta.info/">
359 <span class="emph alpha">2011 April 17.</span>
360 λδ version 2 is started.
363 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
365 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
367 <div xmlns:ld="http://lambdadelta.info/" class="text">
368 <table cellpadding="4" cellspacing="0">
371 <td class="snns top capitalize italic gray">component</td>
372 <td class="snns top italic gray">plane</td>
373 <td class="snns top gray">files</td>
374 <td class="ssnn top gray">
379 <td class="snns top capitalize italic sky">rt-computation</td>
380 <td class="snns top italic sky">uncounted context-sensitive rt-computation</td>
381 <td class="snns top sky">csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )</td>
382 <td class="ssnn top sky">csx_cnx_vector csx_csx_vector</td>
385 <td class="nnns top capitalize italic sky">
388 <td class="nnns top italic sky">
391 <td class="snns top sky">csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )</td>
392 <td class="ssnn top sky">csx_simple csx_simple_theq csx_drops csx_lsubr csx_gcp csx_gcr csx_lfpx csx_cnx csx_cpxs csx_csx</td>
395 <td class="nnns top capitalize italic sky">
398 <td class="nnns top italic sky">
401 <td class="snns top sky">lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )</td>
402 <td class="ssnn top sky">lfpxs_length lfpxs_fqup lfpxs_cpxs</td>
405 <td class="nnns top capitalize italic sky">
408 <td class="nnns top italic sky">
411 <td class="snns top sky">cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )</td>
412 <td class="ssnn top sky">cpxs_tdeq cpxs_theq cpxs_theq_vector cpxs_drops cpxs_lsubr cpxs_lfpx cpxs_cnx cpxs_cpxs</td>
415 <td class="snns top capitalize italic cyan">rt-transition</td>
416 <td class="snns top italic cyan">parallel rst-transition</td>
417 <td class="snns top cyan">fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )</td>
418 <td class="ssnn top cyan">fpbq_aaa</td>
421 <td class="nnns top capitalize italic cyan">
424 <td class="nnns top italic cyan">
427 <td class="snns top cyan">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
428 <td class="ssnn top cyan">fpb_lfdeq</td>
431 <td class="nnns top capitalize italic cyan">
434 <td class="snns top italic cyan">t-bound context-sensitive rt-transition</td>
435 <td class="snns top cyan">lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
436 <td class="ssnn top cyan">lfpr_length lfpr_drops lfpr_fquq lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr</td>
439 <td class="nnns top capitalize italic cyan">
442 <td class="nnns top italic cyan">
445 <td class="snns top cyan">cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
446 <td class="ssnn top cyan">cpr_drops</td>
449 <td class="nnns top capitalize italic cyan">
452 <td class="nnns top italic cyan">
455 <td class="snns top cyan">cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
456 <td class="ssnn top cyan">cpm_simple cpm_drops cpm_lsubr cpm_lfxs cpm_cpx</td>
459 <td class="nnns top capitalize italic cyan">
462 <td class="snns top italic cyan">uncounted context-sensitive rt-transition</td>
463 <td class="snns top cyan">cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )</td>
464 <td class="ssnn top cyan">cnx_simple cnx_drops cnx_cnx</td>
467 <td class="nnns top capitalize italic cyan">
470 <td class="nnns top italic cyan">
473 <td class="snns top cyan">lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )</td>
474 <td class="ssnn top cyan">lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_lfdeq lfpx_aaa lfpx_lfpx</td>
477 <td class="nnns top capitalize italic cyan">
480 <td class="nnns top italic cyan">
483 <td class="snns top cyan">cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )</td>
484 <td class="ssnn top cyan">cpx_simple cpx_drops cpx_fqus cpx_lsubr cpx_lfxs</td>
487 <td class="nnns top capitalize italic cyan">
490 <td class="snns top italic cyan">counted context-sensitive rt-transition</td>
491 <td class="snns top cyan">cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )</td>
492 <td class="ssnn top cyan">cpg_simple cpg_drops cpg_lsubr</td>
495 <td class="snns top capitalize italic water">iterated static typing</td>
496 <td class="snns top italic water">iterated extension on referred entries</td>
497 <td class="snns top water">tc_lfxs ( ? ⦻**[?,?] ? )</td>
498 <td class="ssnn top water">
503 <td class="snns top capitalize italic green">static typing</td>
504 <td class="snns top italic green">generic reducibility</td>
505 <td class="snns top green">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
506 <td class="ssnn top green">lsubc_drops lsubc_lsubr lsubc_lsuba</td>
509 <td class="nnns top capitalize italic green">
512 <td class="nnns top italic green">
515 <td class="snns top green">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
516 <td class="ssnn top green">gcp_aaa</td>
519 <td class="nnns top capitalize italic green">
522 <td class="nnns top italic green">
525 <td class="snns top green">gcp</td>
526 <td class="ssnn top green">
531 <td class="nnns top capitalize italic green">
534 <td class="snns top italic green">atomic arity assignment</td>
535 <td class="snns top green">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
536 <td class="ssnn top green">lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba</td>
539 <td class="nnns top capitalize italic green">
542 <td class="nnns top italic green">
545 <td class="snns top green">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
546 <td class="ssnn top green">aaa_drops aaa_fqus aaa_lfdeq aaa_aaa</td>
549 <td class="nnns top capitalize italic green">
552 <td class="snns top italic green">degree-based equivalence on referred entries</td>
553 <td class="snns top green">ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )</td>
554 <td class="ssnn top green">ffdeq_fqup ffdeq_ffdeq</td>
557 <td class="nnns top capitalize italic green">
560 <td class="nnns top italic green">
563 <td class="snns top green">lfdeq ( ? ≡[?,?,?] ? )</td>
564 <td class="ssnn top green">lfdeq_length lfdeq_drops lfdeq_fqup lfdeq_fqus lfdeq_lfdeq</td>
567 <td class="nnns top capitalize italic green">
570 <td class="snns top italic green">generic extension on referred entries</td>
571 <td class="snns top green">lfxs ( ? ⦻*[?,?] ? )</td>
572 <td class="ssnn top green">lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs</td>
575 <td class="nnns top capitalize italic green">
578 <td class="snns top italic green">context-sensitive free variables</td>
579 <td class="snns top green">lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )</td>
580 <td class="ssnn top green">lsubf_frees</td>
583 <td class="nnns top capitalize italic green">
586 <td class="nnns top italic green">
589 <td class="snns top green">frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )</td>
590 <td class="ssnn top green">frees_drops frees_fqup frees_frees</td>
593 <td class="nnns top capitalize italic green">
596 <td class="snns top italic green">restricted ref. for local env.</td>
597 <td class="snns top green">lsubr ( ? ⫃ ? )</td>
598 <td class="ssnn top green">lsubr_length lsubr_drops lsubr_lsubr</td>
601 <td class="snns top capitalize italic grass">s-computation</td>
602 <td class="snns top italic grass">iterated structural successor for closures</td>
603 <td class="snns top grass">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
604 <td class="ssnn top grass">fqus_weight fqus_drops fqus_fqup fqus_fqus</td>
607 <td class="nnns top capitalize italic grass">
610 <td class="nnns top italic grass">
613 <td class="snns top grass">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
614 <td class="ssnn top grass">fqup_weight fqup_drops fqup_fqup</td>
617 <td class="snns top capitalize italic yellow">s-transition</td>
618 <td class="snns top italic yellow">structural successor for closures</td>
619 <td class="snns top yellow">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
620 <td class="ssnn top yellow">fquq_length fquq_weight</td>
623 <td class="nnns top capitalize italic yellow">
626 <td class="nnns top italic yellow">
629 <td class="snns top yellow">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
630 <td class="ssnn top yellow">fqu_length fqu_weight</td>
633 <td class="snns top capitalize italic orange">relocation</td>
634 <td class="snns top italic orange">generic slicing for local environments</td>
635 <td class="snns top orange">drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )</td>
636 <td class="ssnn top orange">
641 <td class="nnns top capitalize italic orange">
644 <td class="nnns top italic orange">
647 <td class="snns top orange">drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )</td>
648 <td class="ssnn top orange">drops_lstar drops_weight drops_length drops_ceq drops_lexs drops_lreq drops_drops</td>
651 <td class="nnns top capitalize italic orange">
654 <td class="snns top italic orange">generic relocation for terms</td>
655 <td class="snns top orange">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
656 <td class="ssnn top orange">lifts_lifts_vector</td>
659 <td class="nnns top capitalize italic orange">
662 <td class="nnns top italic orange">
665 <td class="snns top orange">lifts ( ⬆*[?] ? ≡ ? )</td>
666 <td class="ssnn top orange">lifts_simple lifts_weight lifts_tdeq lifts_lifts</td>
669 <td class="nnns top capitalize italic orange">
672 <td class="snns top italic orange">ranged equivalence for local environments</td>
673 <td class="snns top orange">lreq ( ? ≡[?] ? )</td>
674 <td class="ssnn top orange">lreq_length lreq_lreq</td>
677 <td class="nnns top capitalize italic orange">
680 <td class="snns top italic orange">generic entrywise extension</td>
681 <td class="snns top orange">lexs ( ? ⦻*[?,?,?] ? )</td>
682 <td class="ssnn top orange">lexs_length lexs_lexs</td>
685 <td class="snns top capitalize italic red">syntax</td>
686 <td class="snns top italic red">append for local environments</td>
687 <td class="snns top red">append ( ? @@ ? )</td>
688 <td class="ssnn top red">append_length</td>
691 <td class="nnns top capitalize italic red">
694 <td class="snns top italic red">head equivalence for terms</td>
695 <td class="snns top red">theq ( ? ⩳[?,?] ? )</td>
696 <td class="ssnn top red">theq_simple theq_tdeq theq_theq theq_simple_vector</td>
699 <td class="nnns top capitalize italic red">
702 <td class="snns top italic red">degree-based equivalence for terms</td>
703 <td class="snns top red">deq ( ? ≡[?,?] ? ) </td>
704 <td class="ssnn top red">deq_deq</td>
707 <td class="nnns top capitalize italic red">
710 <td class="snns top italic red">closures</td>
711 <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
712 <td class="ssnn top red">
717 <td class="nnns top capitalize italic red">
720 <td class="nnns top italic red">
723 <td class="snns top red">cl_restricted_weight ( ♯{?,?} )</td>
724 <td class="ssnn top red">
729 <td class="nnns top capitalize italic red">
732 <td class="snns top italic red">global environments</td>
733 <td class="snns top red">genv</td>
734 <td class="ssnn top red">
739 <td class="nnns top capitalize italic red">
742 <td class="snns top italic red">local environments</td>
743 <td class="snns top red">lenv_length ( |?| )</td>
744 <td class="ssnn top red">
749 <td class="nnns top capitalize italic red">
752 <td class="nnns top italic red">
755 <td class="snns top red">lenv_weight ( ♯{?} )</td>
756 <td class="ssnn top red">
761 <td class="nnns top capitalize italic red">
764 <td class="nnns top italic red">
767 <td class="snns top red">lenv</td>
768 <td class="ssnn top red">
773 <td class="nnns top capitalize italic red">
776 <td class="snns top italic red">terms</td>
777 <td class="snns top red">term_vector ( Ⓐ?.? )</td>
778 <td class="ssnn top red">
783 <td class="nnns top capitalize italic red">
786 <td class="nnns top italic red">
789 <td class="snns top red">term_simple ( 𝐒⦃?⦄ )</td>
790 <td class="ssnn top red">
795 <td class="nnns top capitalize italic red">
798 <td class="nnns top italic red">
801 <td class="snns top red">term_weight ( ♯{?} )</td>
802 <td class="ssnn top red">
807 <td class="nnns top capitalize italic red">
810 <td class="nnns top italic red">
813 <td class="snns top red">term</td>
814 <td class="ssnn top red">
819 <td class="nnns top capitalize italic red">
822 <td class="snns top italic red">items</td>
823 <td class="snns top red">item_sd</td>
824 <td class="ssnn top red">
829 <td class="nnns top capitalize italic red">
832 <td class="nnns top italic red">
835 <td class="snns top red">item_sh</td>
836 <td class="ssnn top red">
841 <td class="nnns top capitalize italic red">
844 <td class="nnns top italic red">
847 <td class="snns top red">item</td>
848 <td class="ssnn top red">
853 <td class="nnss top capitalize italic red">
856 <td class="snss top italic red">atomic arities</td>
857 <td class="snss top red">aarity</td>
858 <td class="sssn top red">
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