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22 <div class="head1">cic:/matita/lambdadelta/basic_2/ (λδ version 2)</div>
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26 <div xmlns:ld="http://lambdadelta.info/" class="head2">System's Syntax and Behavior</div>
27 <div xmlns:ld="http://lambdadelta.info/" class="text">This is a summary of the "block structure"
28 of the System's syntactic items and reductions.
30 <div xmlns:ld="http://lambdadelta.info/" class="text">
31 <table cellpadding="4" cellspacing="0">
34 <td class="snns text grey">domain</td>
35 <td class="snns plane grey">block</td>
36 <td class="snns text grey">leader</td>
37 <td class="snns text grey">applicator (with →θ)*</td>
38 <td class="snns text grey">reduction</td>
39 <td class="snns text grey">→ζ *</td>
40 <td class="ssns text grey">reference *</td>
43 <td class="snns text">{X | Γ ⊢ X : W}</td>
44 <td class="snns plane wine">local typed abstraction *</td>
45 <td class="snns text wine">Γ ⊢ +λW</td>
46 <td class="snns text wine">ⓐV</td>
47 <td class="snns text wine">→β</td>
48 <td class="snns text wine">no</td>
49 <td class="ssns text wine">#i</td>
52 <td class="nnns text">
55 <td class="snns plane magenta">local typed declaration **</td>
56 <td class="snns text magenta">Γ ⊢ -λW</td>
57 <td class="snns text magenta">ⓐV</td>
58 <td class="snns text magenta">→β</td>
59 <td class="snns text magenta">no</td>
60 <td class="ssns text magenta">#i</td>
63 <td class="nnns text">
66 <td class="snns plane prune">global typed declaration ***</td>
67 <td class="snns text prune">Γ ⊢ pλW</td>
68 <td class="snns text prune">no</td>
69 <td class="snns text prune">no</td>
70 <td class="snns text prune">no</td>
71 <td class="ssns text prune">$p</td>
74 <td class="nnns text">
77 <td class="snns plane blue">native type annotation *</td>
78 <td class="snns text blue">Γ ⊢ ⓝW</td>
79 <td class="snns text blue">no</td>
80 <td class="snns text blue">no</td>
81 <td class="snns text blue">yes</td>
82 <td class="ssns text blue">no</td>
85 <td class="snns text">{X | Γ ⊢ X = V}</td>
86 <td class="snns plane sky">local abbreviation *</td>
87 <td class="snns text sky">Γ ⊢ +δV</td>
88 <td class="snns text sky">no</td>
89 <td class="snns text sky">local →δ</td>
90 <td class="snns text sky">yes</td>
91 <td class="ssns text sky">#i</td>
94 <td class="nnns text">
97 <td class="snns plane cyan">local definition **</td>
98 <td class="snns text cyan">Γ ⊢ -δV</td>
99 <td class="snns text cyan">no</td>
100 <td class="snns text cyan">local →δ</td>
101 <td class="snns text cyan">no</td>
102 <td class="ssns text cyan">#i</td>
105 <td class="nnns text">
108 <td class="snns plane water">global definition ***</td>
109 <td class="snns text water">Γ ⊢ pδV</td>
110 <td class="snns text water">no</td>
111 <td class="snns text water">global →δ</td>
112 <td class="snns text water">no</td>
113 <td class="ssns text water">$p</td>
116 <td class="snss text">no</td>
117 <td class="snss plane green">sort ****</td>
118 <td class="snss text green">Γ ⊢ ⋆k</td>
119 <td class="snss text green">no</td>
120 <td class="snss text green">no</td>
121 <td class="snss text green">no</td>
122 <td class="ssss text green">no</td>
127 <div xmlns:ld="http://lambdadelta.info/" class="text">* In terms only.
128 ** In terms and local environments only.
129 *** In global environments only.
130 **** Sort level k in terms only.
133 <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
134 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
136 Nodes are counted according to the "intrinsinc complexity measure"
137 [F. Guidi: "Procedural Representation of CIC Proof Terms"
138 Journal of Automated Reasoning 44(1-2), Springer (February 2010),
141 <div xmlns:ld="http://lambdadelta.info/" class="text">
142 <table cellpadding="4" cellspacing="0">
145 <td class="snns component grey">category</td>
146 <td class="snns plane grey">objects</td>
147 <td class="snnn number grey">
150 <td class="snnn plane grey">
153 <td class="snnn number grey">
156 <td class="snnn plane grey">
159 <td class="ssnn number grey">
164 <td class="snns component cyan">sizes</td>
165 <td class="snns plane cyan">files</td>
166 <td class="snnn number cyan">247 </td>
167 <td class="snns plane cyan">characters</td>
168 <td class="snnn number cyan">350287</td>
169 <td class="snns plane cyan">nodes</td>
170 <td class="ssnn number cyan">1035865</td>
173 <td class="snns component green">propositions</td>
174 <td class="snns plane green">theorems</td>
175 <td class="snnn number green">76</td>
176 <td class="snns plane green">lemmas</td>
177 <td class="snnn number green">748</td>
178 <td class="snns plane green">total</td>
179 <td class="ssnn number green">824</td>
182 <td class="snss component yellow">concepts</td>
183 <td class="snss plane yellow">declared</td>
184 <td class="snsn number yellow">41</td>
185 <td class="snss plane yellow">defined</td>
186 <td class="snsn number yellow">77</td>
187 <td class="snss plane yellow">total</td>
188 <td class="sssn number yellow">118</td>
193 <ul xmlns:ld="http://lambdadelta.info/">
195 <span class="date">In progress.</span>
196 Context-sensitive subject equivalence
197 for native type assignment.
200 <ul xmlns:ld="http://lambdadelta.info/">
202 <span class="date">In progress.</span>
203 Closure of context-sensitive extended computation
207 <ul xmlns:ld="http://lambdadelta.info/">
209 <span class="date">In progress.</span>
210 Passive support for global environments.
213 <ul xmlns:ld="http://lambdadelta.info/">
215 <span class="date">2013 July 27.</span>
216 Reaxiomatized β-reductum as in extended β-reduction
219 <ul xmlns:ld="http://lambdadelta.info/">
221 <span class="date">2013 July 20.</span>
222 Context-sensitive extended strong normalization
223 for simply typed terms.
226 <ul xmlns:ld="http://lambdadelta.info/">
228 <span class="date">2013 April 16.</span>
229 Reaxiomatized substitution and reduction
230 commute with respect to subclosure
231 (anniversary milestone).
234 <ul xmlns:ld="http://lambdadelta.info/">
236 <span class="date">2013 March 16.</span>
237 Mutual recursive preservation of stratified native validity
238 for hyper computation on closures.
241 <ul xmlns:ld="http://lambdadelta.info/">
243 <span class="date">2012 October 16.</span>
244 Confluence for context-free parallel reduction on closures.
247 <ul xmlns:ld="http://lambdadelta.info/">
249 <span class="date">2012 July 26.</span>
250 Term binders polarized to control ζ-reduction.
253 <ul xmlns:ld="http://lambdadelta.info/">
255 <span class="date">2012 April 16.</span>
256 Context-sensitive subject equivalence
257 for atomic arity assignment
258 (anniversary milestone).
261 <ul xmlns:ld="http://lambdadelta.info/">
263 <span class="date">2012 March 15.</span>
264 Context-sensitive strong normalization
265 for simply typed terms.
268 <ul xmlns:ld="http://lambdadelta.info/">
270 <span class="date">2012 January 27.</span>
271 Support for abstract candidates of reducibility.
274 <ul xmlns:ld="http://lambdadelta.info/">
276 <span class="date">2011 September 21.</span>
277 Confluence for context-sensitive parallel reduction on terms.
280 <ul xmlns:ld="http://lambdadelta.info/">
282 <span class="date">2011 September 6.</span>
283 Confluence for context-free parallel reduction on terms.
286 <ul xmlns:ld="http://lambdadelta.info/">
288 <span class="date">2011 April 17.</span>
289 Specification starts.
293 <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
294 <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
295 according to the following table.
296 A notation file covering the whole specification is provided.
297 The notation for the relations or functions introduced in each file
298 is shown in parentheses (? are placeholders).
300 <div xmlns:ld="http://lambdadelta.info/" class="text">
301 <table cellpadding="4" cellspacing="0">
304 <td class="snns component grey">component</td>
305 <td class="snns plane grey">plane</td>
306 <td class="snns file grey">files</td>
307 <td class="snnn file grey">
310 <td class="snnn file grey">
313 <td class="ssnn file grey">
318 <td class="snns component prune">dynamic typing</td>
319 <td class="snns plane prune">"big tree" parallel computation</td>
320 <td class="snns file prune">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
321 <td class="snnn file prune">yprs_yprs</td>
322 <td class="snnn file prune">ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )</td>
323 <td class="ssnn file prune">ygt_ygt</td>
326 <td class="nnns component prune">
329 <td class="snns plane prune">"big tree" parallel reduction</td>
330 <td class="snns file prune">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
331 <td class="snnn file prune">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
332 <td class="snnn file prune">
335 <td class="ssnn file prune">
340 <td class="nnns component prune">
343 <td class="snns plane prune">local env. ref. for stratified native validity</td>
344 <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⊑[?] ? )</td>
345 <td class="snnn file prune">lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</td>
346 <td class="snnn file prune">
349 <td class="ssnn file prune">
354 <td class="nnns component prune">
357 <td class="snns plane prune">stratified native validity</td>
358 <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?] )</td>
359 <td class="snnn file prune">snv_lift snv_aaa snv_ssta snv_sstas snv_ssta_lpr snv_lpr snv_cpcs</td>
360 <td class="snnn file prune">
363 <td class="ssnn file prune">
368 <td class="snns component blue">equivalence</td>
369 <td class="snns plane blue">context-sensitive equivalence</td>
370 <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
371 <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
372 <td class="snnn file blue">
375 <td class="ssnn file blue">
380 <td class="snns component sky">conversion</td>
381 <td class="snns plane sky">context-sensitive conversion</td>
382 <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
383 <td class="snnn file sky">cpc_cpc</td>
384 <td class="snnn file sky">
387 <td class="ssnn file sky">
392 <td class="snns component cyan">computation</td>
393 <td class="snns plane cyan">context-sensitive extended evaluation</td>
394 <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?] 𝐍⦃?⦄ )</td>
395 <td class="snnn file cyan">
398 <td class="snnn file cyan">
401 <td class="ssnn file cyan">
406 <td class="nnns component cyan">
409 <td class="snns plane cyan">context-sensitive evaluation</td>
410 <td class="snns file cyan">cpre ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
411 <td class="snnn file cyan">cpre_cpre</td>
412 <td class="snnn file cyan">
415 <td class="ssnn file cyan">
420 <td class="nnns component cyan">
423 <td class="snns plane cyan">strongly normalizing computation</td>
424 <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
425 <td class="snnn file cyan">csn_tstc_vector csn_aaa</td>
426 <td class="snnn file cyan">
429 <td class="ssnn file cyan">
434 <td class="nnns component cyan">
437 <td class="nnns plane cyan">
440 <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
441 <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
442 <td class="snnn file cyan">csn_lift csn_lpx</td>
443 <td class="ssnn file cyan">
448 <td class="nnns component cyan">
451 <td class="snns plane cyan">decomposed extended computation</td>
452 <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
453 <td class="snnn file cyan">dxprs_lift dxprs_aaa dxprs_dxprs</td>
454 <td class="snnn file cyan">
457 <td class="ssnn file cyan">
462 <td class="nnns component cyan">
465 <td class="snns plane cyan">context-sensitive extended computation</td>
466 <td class="snns file cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?] ? )</td>
467 <td class="snnn file cyan">lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?] ? )</td>
468 <td class="snnn file cyan">lpxs_ldrop lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
469 <td class="ssnn file cyan">
474 <td class="nnns component cyan">
477 <td class="nnns plane cyan">
480 <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?] ? )</td>
481 <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs</td>
482 <td class="snnn file cyan">
485 <td class="ssnn file cyan">
490 <td class="nnns component cyan">
493 <td class="snns plane cyan">context-sensitive computation</td>
494 <td class="snns file cyan">lprs ( ? ⊢ ➡* ? )</td>
495 <td class="snnn file cyan">lprs_alt ( ? ⊢ ➡➡* ? )</td>
496 <td class="snnn file cyan">lprs_ldrop lprs_cprs lprs_lprs</td>
497 <td class="ssnn file cyan">
502 <td class="nnns component cyan">
505 <td class="nnns plane cyan">
508 <td class="snns file cyan">cprs ( ? ⊢ ? ➡* ?)</td>
509 <td class="snnn file cyan">cprs_lift cprs_cprs</td>
510 <td class="snnn file cyan">
513 <td class="ssnn file cyan">
518 <td class="nnns component cyan">
521 <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
522 <td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td>
523 <td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
524 <td class="snnn file cyan">
527 <td class="ssnn file cyan">
532 <td class="nnns component cyan">
535 <td class="snns plane cyan">support for abstract computation properties</td>
536 <td class="snns file cyan">acp</td>
537 <td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
538 <td class="snnn file cyan">acp_aaa</td>
539 <td class="ssnn file cyan">
544 <td class="snns component water">reduction</td>
545 <td class="snns plane water">context-sensitive extended normal forms</td>
546 <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ 𝐍[?]⦃?⦄ )</td>
547 <td class="snnn file water">cnx_lift cnx_crx cnx_cix</td>
548 <td class="snnn file water">
551 <td class="ssnn file water">
556 <td class="nnns component water">
559 <td class="snns plane water">context-sensitive extended reduction</td>
560 <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?] ? )</td>
561 <td class="snnn file water">lpx_ldrop lpx_aaa</td>
562 <td class="snnn file water">
565 <td class="ssnn file water">
570 <td class="nnns component water">
573 <td class="nnns plane water">
576 <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
577 <td class="snnn file water">cpx_lift cpx_cix</td>
578 <td class="snnn file water">
581 <td class="ssnn file water">
586 <td class="nnns component water">
589 <td class="snns plane water">context-sensitive extended irreducible forms</td>
590 <td class="snns file water">cix ( ⦃?,?⦄ ⊢ 𝐈[?]⦃?⦄ )</td>
591 <td class="snnn file water">cix_append cix_lift</td>
592 <td class="snnn file water">
595 <td class="ssnn file water">
600 <td class="nnns component water">
603 <td class="snns plane water">context-sensitive extended reducible forms</td>
604 <td class="snns file water">crx ( ⦃?,?⦄ ⊢ 𝐑[?]⦃?⦄ )</td>
605 <td class="snnn file water">crx_append crx_lift</td>
606 <td class="snnn file water">
609 <td class="ssnn file water">
614 <td class="nnns component water">
617 <td class="snns plane water">context-sensitive normal forms</td>
618 <td class="snns file water">cnr ( ? ⊢ 𝐍⦃?⦄ )</td>
619 <td class="snnn file water">cnr_lift cnr_crr cnr_cir</td>
620 <td class="snnn file water">
623 <td class="ssnn file water">
628 <td class="nnns component water">
631 <td class="snns plane water">context-sensitive reduction</td>
632 <td class="snns file water">lpr ( ? ⊢ ➡ ? )</td>
633 <td class="snnn file water">lpr_ldrop lpr_lpr</td>
634 <td class="snnn file water">
637 <td class="ssnn file water">
642 <td class="nnns component water">
645 <td class="nnns plane water">
648 <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
649 <td class="snnn file water">cpr_lift cpr_cir</td>
650 <td class="snnn file water">
653 <td class="ssnn file water">
658 <td class="nnns component water">
661 <td class="snns plane water">context-sensitive irreducible forms</td>
662 <td class="snns file water">cir ( ? ⊢ 𝐈⦃?⦄ )</td>
663 <td class="snnn file water">cir_append cir_lift</td>
664 <td class="snnn file water">
667 <td class="ssnn file water">
672 <td class="nnns component water">
675 <td class="snns plane water">context-sensitive reducible forms</td>
676 <td class="snns file water">crr ( ? ⊢ 𝐑⦃?⦄ )</td>
677 <td class="snnn file water">crr_append crr_lift</td>
678 <td class="snnn file water">
681 <td class="ssnn file water">
686 <td class="snns component green">unfold</td>
687 <td class="snns plane green">unfold</td>
688 <td class="snns file green">unfold ( ? ⊢ ? ⧫* ? )</td>
689 <td class="snnn file green">
692 <td class="snnn file green">
695 <td class="ssnn file green">
700 <td class="nnns component green">
703 <td class="snns plane green">iterated stratified static type assignment</td>
704 <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
705 <td class="snnn file green">sstas_lift sstas_aaa sstas_sstas</td>
706 <td class="snnn file green">
709 <td class="ssnn file green">
714 <td class="snns component grass">static typing</td>
715 <td class="snns plane grass">stratified static type assignment</td>
716 <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
717 <td class="snnn file grass">ssta_lift ssta_aaa ssta_ssta</td>
718 <td class="snnn file grass">
721 <td class="ssnn file grass">
726 <td class="nnns component grass">
729 <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
730 <td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td>
731 <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
732 <td class="snnn file grass">
735 <td class="ssnn file grass">
740 <td class="nnns component grass">
743 <td class="snns plane grass">atomic arity assignment</td>
744 <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
745 <td class="snnn file grass">aaa_lift aaa_lifts aaa_aaa</td>
746 <td class="snnn file grass">
749 <td class="ssnn file grass">
754 <td class="nnns component grass">
757 <td class="snns plane grass">parameters</td>
758 <td class="snns file grass">sh</td>
759 <td class="snnn file grass">sd</td>
760 <td class="snnn file grass">
763 <td class="ssnn file grass">
768 <td class="snns component yellow">substitution</td>
769 <td class="snns plane yellow">restricted local env. ref.</td>
770 <td class="snns file yellow">lsubr ( ? ⊑ ? )</td>
771 <td class="snnn file yellow">lsubr_lsubr</td>
772 <td class="snnn file yellow">
775 <td class="ssnn file yellow">
780 <td class="nnns component yellow">
783 <td class="snns plane yellow">iterated structural successor for closures</td>
784 <td class="snns file yellow">fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )</td>
785 <td class="snnn file yellow">fsups_fsups</td>
786 <td class="snnn file yellow">
789 <td class="ssnn file yellow">
794 <td class="nnns component yellow">
797 <td class="nnns plane yellow">
800 <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
801 <td class="snnn file yellow">fsupp_fsupp</td>
802 <td class="snnn file yellow">
805 <td class="ssnn file yellow">
810 <td class="nnns component yellow">
813 <td class="snns plane yellow">generic local env. slicing</td>
814 <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
815 <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
816 <td class="snnn file yellow">
819 <td class="ssnn file yellow">
824 <td class="nnns component yellow">
827 <td class="snns plane yellow">generic term relocation</td>
828 <td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td>
829 <td class="snnn file yellow">lifts_lift_vector</td>
830 <td class="snnn file yellow">
833 <td class="ssnn file yellow">
838 <td class="nnns component yellow">
841 <td class="nnns plane yellow">
844 <td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td>
845 <td class="snnn file yellow">lifts_lift lifts_lifts</td>
846 <td class="snnn file yellow">
849 <td class="ssnn file yellow">
854 <td class="nnns component yellow">
857 <td class="snns plane yellow">support for generic relocation</td>
858 <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
859 <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
860 <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
861 <td class="ssnn file yellow">gr2_gr2</td>
864 <td class="snns component orange">relocation</td>
865 <td class="snns plane orange">structural successor for closures</td>
866 <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
867 <td class="snnn file orange">fsupq ( ⦃?,?⦄ ⊃⸮ ⦃?,?⦄ )</td>
868 <td class="snnn file orange">fsupq_alt</td>
869 <td class="ssnn file orange">
874 <td class="nnns component orange">
877 <td class="snns plane orange">global env. slicing</td>
878 <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
879 <td class="snnn file orange">gdrop_gdrop</td>
880 <td class="snnn file orange">
883 <td class="ssnn file orange">
888 <td class="nnns component orange">
891 <td class="snns plane orange">basic local env. slicing</td>
892 <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
893 <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_ldrop</td>
894 <td class="snnn file orange">
897 <td class="ssnn file orange">
902 <td class="nnns component orange">
905 <td class="snns plane orange">basic term relocation</td>
906 <td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td>
907 <td class="snnn file orange">lift_lift_vector</td>
908 <td class="snnn file orange">
911 <td class="ssnn file orange">
916 <td class="nnns component orange">
919 <td class="nnns plane orange">
922 <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
923 <td class="snnn file orange">lift_lift</td>
924 <td class="snnn file orange">
927 <td class="ssnn file orange">
932 <td class="snns component red">grammar</td>
933 <td class="snns plane red">pointwise extension of a relation</td>
934 <td class="snns file red">lpx_sn</td>
935 <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
936 <td class="snnn file red">
939 <td class="ssnn file red">
944 <td class="nnns component red">
947 <td class="snns plane red">same top term constructor</td>
948 <td class="snns file red">tstc ( ? ≃ ? )</td>
949 <td class="snnn file red">tstc_tstc tstc_vector</td>
950 <td class="snnn file red">
953 <td class="ssnn file red">
958 <td class="nnns component red">
961 <td class="snns plane red">closures</td>
962 <td class="snns file red">cl_shift ( ? @@ ? )</td>
963 <td class="snnn file red">cl_weight ( ♯{?,?} )</td>
964 <td class="snnn file red">
967 <td class="ssnn file red">
972 <td class="nnns component red">
975 <td class="snns plane red">internal syntax</td>
976 <td class="snns file red">genv</td>
977 <td class="snnn file red">
980 <td class="snnn file red">
983 <td class="ssnn file red">
988 <td class="nnns component red">
991 <td class="nnns plane red">
994 <td class="snns file red">lenv</td>
995 <td class="snnn file red">lenv_weight ( ♯{?} )</td>
996 <td class="snnn file red">lenv_length ( |?| )</td>
997 <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
1000 <td class="nnns component red">
1003 <td class="nnns plane red">
1006 <td class="snns file red">term</td>
1007 <td class="snnn file red">term_weight ( ♯{?} )</td>
1008 <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
1009 <td class="ssnn file red">term_vector</td>
1012 <td class="nnns component red">
1015 <td class="nnns plane red">
1018 <td class="snns file red">item</td>
1019 <td class="snnn file red">
1022 <td class="snnn file red">
1025 <td class="ssnn file red">
1030 <td class="nnss component red">
1033 <td class="snss plane red">external syntax</td>
1034 <td class="snss file red">aarity</td>
1035 <td class="snsn file red">
1038 <td class="snsn file red">
1041 <td class="sssn file red">
1049 <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
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1051 one for each component.
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1079 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 27 Jul 2013 18:22:47 +0200</div>