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22 <div class="head1">cic:/matita/lambdadelta/basic_2/ (λδ version 2)</div>
24 <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
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">265 </td>
167 <td class="snns plane cyan">characters</td>
168 <td class="snnn number cyan">399492</td>
169 <td class="snns plane cyan">nodes</td>
170 <td class="ssnn number cyan">1202574</td>
173 <td class="snns component green">propositions</td>
174 <td class="snns plane green">theorems</td>
175 <td class="snnn number green">81</td>
176 <td class="snns plane green">lemmas</td>
177 <td class="snnn number green">808</td>
178 <td class="snns plane green">total</td>
179 <td class="ssnn number green">889</td>
182 <td class="snss component yellow">concepts</td>
183 <td class="snss plane yellow">declared</td>
184 <td class="snsn number yellow">44</td>
185 <td class="snss plane yellow">defined</td>
186 <td class="snsn number yellow">79</td>
187 <td class="snss plane yellow">total</td>
188 <td class="sssn number yellow">123</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">2013 August 7.</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">ygt ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )</td>
321 <td class="snnn file prune">ygt_lift ygt_ygt</td>
322 <td class="snnn file prune">
325 <td class="ssnn file prune">
330 <td class="nnns component prune">
333 <td class="nnns plane prune">
336 <td class="snns file prune">yprs ( ? ⊢ ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
337 <td class="snnn file prune">yprs_lift yprs_yprs</td>
338 <td class="snnn file prune">
341 <td class="ssnn file prune">
346 <td class="nnns component prune">
349 <td class="snns plane prune">"big tree" parallel reduction</td>
350 <td class="snns file prune">ypr ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
351 <td class="snnn file prune">ysc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
352 <td class="snnn file prune">
355 <td class="ssnn file prune">
360 <td class="nnns component prune">
363 <td class="snns plane prune">local env. ref. for stratified native validity</td>
364 <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )</td>
365 <td class="snnn file prune">lsubsv_ldrop lsubsv_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
366 <td class="snnn file prune">
369 <td class="ssnn file prune">
374 <td class="nnns component prune">
377 <td class="snns plane prune">stratified native validity</td>
378 <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
379 <td class="snnn file prune">snv_lift snv_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs</td>
380 <td class="snnn file prune">
383 <td class="ssnn file prune">
388 <td class="snns component blue">equivalence</td>
389 <td class="snns plane blue">decomposed extended equivalence</td>
390 <td class="snns file blue">cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )</td>
391 <td class="snnn file blue">cpes_cpds</td>
392 <td class="snnn file blue">
395 <td class="ssnn file blue">
400 <td class="nnns component blue">
403 <td class="snns plane blue">context-sensitive equivalence</td>
404 <td class="snns file blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
405 <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
406 <td class="snnn file blue">
409 <td class="ssnn file blue">
414 <td class="snns component sky">conversion</td>
415 <td class="snns plane sky">context-sensitive conversion</td>
416 <td class="snns file sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
417 <td class="snnn file sky">cpc_cpc</td>
418 <td class="snnn file sky">
421 <td class="ssnn file sky">
426 <td class="snns component cyan">computation</td>
427 <td class="snns plane cyan">context-sensitive extended evaluation</td>
428 <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
429 <td class="snnn file cyan">
432 <td class="snnn file cyan">
435 <td class="ssnn file cyan">
440 <td class="nnns component cyan">
443 <td class="snns plane cyan">context-sensitive evaluation</td>
444 <td class="snns file cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
445 <td class="snnn file cyan">cpre_cpre</td>
446 <td class="snnn file cyan">
449 <td class="ssnn file cyan">
454 <td class="nnns component cyan">
457 <td class="snns plane cyan">strongly normalizing computation</td>
458 <td class="snns file cyan">csn_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
459 <td class="snnn file cyan">csn_tstc_vector csn_aaa</td>
460 <td class="snnn file cyan">
463 <td class="ssnn file cyan">
468 <td class="nnns component cyan">
471 <td class="nnns plane cyan">
474 <td class="snns file cyan">csn ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
475 <td class="snnn file cyan">csn_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
476 <td class="snnn file cyan">csn_lift csn_lpx</td>
477 <td class="ssnn file cyan">
482 <td class="nnns component cyan">
485 <td class="snns plane cyan">decomposed extended computation</td>
486 <td class="snns file cyan">cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )</td>
487 <td class="snnn file cyan">cpds_lift cpds_aaa cpds_cpds</td>
488 <td class="snnn file cyan">
491 <td class="ssnn file cyan">
496 <td class="nnns component cyan">
499 <td class="snns plane cyan">context-sensitive extended computation</td>
500 <td class="snns file cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
501 <td class="snnn file cyan">lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )</td>
502 <td class="snnn file cyan">lpxs_ldrop lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
503 <td class="ssnn file cyan">
508 <td class="nnns component cyan">
511 <td class="nnns plane cyan">
514 <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
515 <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs</td>
516 <td class="snnn file cyan">
519 <td class="ssnn file cyan">
524 <td class="nnns component cyan">
527 <td class="snns plane cyan">context-sensitive computation</td>
528 <td class="snns file cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
529 <td class="snnn file cyan">lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )</td>
530 <td class="snnn file cyan">lprs_ldrop lprs_cprs lprs_lprs</td>
531 <td class="ssnn file cyan">
536 <td class="nnns component cyan">
539 <td class="nnns plane cyan">
542 <td class="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
543 <td class="snnn file cyan">cprs_lift cprs_cprs</td>
544 <td class="snnn file cyan">
547 <td class="ssnn file cyan">
552 <td class="nnns component cyan">
555 <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
556 <td class="snns file cyan">lsubc ( ? ⊢ ? ⊑[?] ? )</td>
557 <td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
558 <td class="snnn file cyan">
561 <td class="ssnn file cyan">
566 <td class="nnns component cyan">
569 <td class="snns plane cyan">support for abstract computation properties</td>
570 <td class="snns file cyan">acp</td>
571 <td class="snnn file cyan">acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
572 <td class="snnn file cyan">acp_aaa</td>
573 <td class="ssnn file cyan">
578 <td class="snns component water">reduction</td>
579 <td class="snns plane water">context-sensitive extended normal forms</td>
580 <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )</td>
581 <td class="snnn file water">cnx_lift cnx_crx cnx_cix</td>
582 <td class="snnn file water">
585 <td class="ssnn file water">
590 <td class="nnns component water">
593 <td class="snns plane water">context-sensitive extended reduction</td>
594 <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
595 <td class="snnn file water">lpx_ldrop lpx_aaa</td>
596 <td class="snnn file water">
599 <td class="ssnn file water">
604 <td class="nnns component water">
607 <td class="nnns plane water">
610 <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
611 <td class="snnn file water">cpx_lift cpx_cix</td>
612 <td class="snnn file water">
615 <td class="ssnn file water">
620 <td class="nnns component water">
623 <td class="snns plane water">context-sensitive extended irreducible forms</td>
624 <td class="snns file water">cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )</td>
625 <td class="snnn file water">cix_append cix_lift</td>
626 <td class="snnn file water">
629 <td class="ssnn file water">
634 <td class="nnns component water">
637 <td class="snns plane water">context-sensitive extended reducible forms</td>
638 <td class="snns file water">crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )</td>
639 <td class="snnn file water">crx_append crx_lift</td>
640 <td class="snnn file water">
643 <td class="ssnn file water">
648 <td class="nnns component water">
651 <td class="snns plane water">context-sensitive normal forms</td>
652 <td class="snns file water">cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )</td>
653 <td class="snnn file water">cnr_lift cnr_crr cnr_cir</td>
654 <td class="snnn file water">
657 <td class="ssnn file water">
662 <td class="nnns component water">
665 <td class="snns plane water">context-sensitive reduction</td>
666 <td class="snns file water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
667 <td class="snnn file water">lpr_ldrop lpr_lpr</td>
668 <td class="snnn file water">
671 <td class="ssnn file water">
676 <td class="nnns component water">
679 <td class="nnns plane water">
682 <td class="snns file water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
683 <td class="snnn file water">cpr_lift cpr_cir</td>
684 <td class="snnn file water">
687 <td class="ssnn file water">
692 <td class="nnns component water">
695 <td class="snns plane water">context-sensitive irreducible forms</td>
696 <td class="snns file water">cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )</td>
697 <td class="snnn file water">cir_append cir_lift</td>
698 <td class="snnn file water">
701 <td class="ssnn file water">
706 <td class="nnns component water">
709 <td class="snns plane water">context-sensitive reducible forms</td>
710 <td class="snns file water">crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )</td>
711 <td class="snnn file water">crr_append crr_lift</td>
712 <td class="snnn file water">
715 <td class="ssnn file water">
720 <td class="snns component green">unfold</td>
721 <td class="snns plane green">unfold</td>
722 <td class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
723 <td class="snnn file green">
726 <td class="snnn file green">
729 <td class="ssnn file green">
734 <td class="nnns component green">
737 <td class="snns plane green">iterated static type assignment</td>
738 <td class="snns file green">lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )</td>
739 <td class="snnn file green">lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )</td>
740 <td class="snnn file green">lsstas_lift lsstas_aaa lsstas_lsstas</td>
741 <td class="ssnn file green">
746 <td class="snns component grass">static typing</td>
747 <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
748 <td class="snns file grass">lsuba ( ? ⊢ ? ⁝⊑ ? )</td>
749 <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
750 <td class="snnn file grass">
753 <td class="ssnn file grass">
758 <td class="nnns component grass">
761 <td class="snns plane grass">atomic arity assignment</td>
762 <td class="snns file grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
763 <td class="snnn file grass">aaa_lift aaa_lifts aaa_da aaa_ssta aaa_aaa</td>
764 <td class="snnn file grass">
767 <td class="ssnn file grass">
772 <td class="nnns component grass">
775 <td class="snns plane grass">stratified static type assignment</td>
776 <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
777 <td class="snnn file grass">ssta_lift ssta_ssta</td>
778 <td class="snnn file grass">
781 <td class="ssnn file grass">
786 <td class="nnns component grass">
789 <td class="snns plane grass">local env. ref. for degree assignment</td>
790 <td class="snns file grass">lsubd ( ? ⊢ ? ▪⊑ ? )</td>
791 <td class="snnn file grass">lsubd_da lsubd_lsubd</td>
792 <td class="snnn file grass">
795 <td class="ssnn file grass">
800 <td class="nnns component grass">
803 <td class="snns plane grass">degree assignment</td>
804 <td class="snns file grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
805 <td class="snnn file grass">da_lift da_da</td>
806 <td class="snnn file grass">
809 <td class="ssnn file grass">
814 <td class="nnns component grass">
817 <td class="snns plane grass">parameters</td>
818 <td class="snns file grass">sh</td>
819 <td class="snnn file grass">sd</td>
820 <td class="snnn file grass">
823 <td class="ssnn file grass">
828 <td class="snns component yellow">substitution</td>
829 <td class="snns plane yellow">restricted local env. ref.</td>
830 <td class="snns file yellow">lsubr ( ? ⊑ ? )</td>
831 <td class="snnn file yellow">lsubr_lsubr</td>
832 <td class="snnn file yellow">
835 <td class="ssnn file yellow">
840 <td class="nnns component yellow">
843 <td class="snns plane yellow">iterated structural successor for closures</td>
844 <td class="snns file yellow">fsups ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )</td>
845 <td class="snnn file yellow">fsups_fsups</td>
846 <td class="snnn file yellow">
849 <td class="ssnn file yellow">
854 <td class="nnns component yellow">
857 <td class="nnns plane yellow">
860 <td class="snns file yellow">fsupp ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
861 <td class="snnn file yellow">fsupp_fsupp</td>
862 <td class="snnn file yellow">
865 <td class="ssnn file yellow">
870 <td class="nnns component yellow">
873 <td class="snns plane yellow">generic local env. slicing</td>
874 <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
875 <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
876 <td class="snnn file yellow">
879 <td class="ssnn file yellow">
884 <td class="nnns component yellow">
887 <td class="snns plane yellow">generic term relocation</td>
888 <td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td>
889 <td class="snnn file yellow">lifts_lift_vector</td>
890 <td class="snnn file yellow">
893 <td class="ssnn file yellow">
898 <td class="nnns component yellow">
901 <td class="nnns plane yellow">
904 <td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td>
905 <td class="snnn file yellow">lifts_lift lifts_lifts</td>
906 <td class="snnn file yellow">
909 <td class="ssnn file yellow">
914 <td class="nnns component yellow">
917 <td class="snns plane yellow">support for generic relocation</td>
918 <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
919 <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
920 <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
921 <td class="ssnn file yellow">gr2_gr2</td>
924 <td class="snns component orange">relocation</td>
925 <td class="snns plane orange">structural successor for closures</td>
926 <td class="snns file orange">fsup ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
927 <td class="snnn file orange">fsupq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
928 <td class="snnn file orange">fsupq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</td>
929 <td class="ssnn file orange">
934 <td class="nnns component orange">
937 <td class="snns plane orange">global env. slicing</td>
938 <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
939 <td class="snnn file orange">gdrop_gdrop</td>
940 <td class="snnn file orange">
943 <td class="ssnn file orange">
948 <td class="nnns component orange">
951 <td class="snns plane orange">basic local env. slicing</td>
952 <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
953 <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_ldrop</td>
954 <td class="snnn file orange">
957 <td class="ssnn file orange">
962 <td class="nnns component orange">
965 <td class="snns plane orange">basic term relocation</td>
966 <td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td>
967 <td class="snnn file orange">lift_lift_vector</td>
968 <td class="snnn file orange">
971 <td class="ssnn file orange">
976 <td class="nnns component orange">
979 <td class="nnns plane orange">
982 <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
983 <td class="snnn file orange">lift_lift</td>
984 <td class="snnn file orange">
987 <td class="ssnn file orange">
992 <td class="snns component red">grammar</td>
993 <td class="snns plane red">pointwise extension of a relation</td>
994 <td class="snns file red">lpx_sn</td>
995 <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
996 <td class="snnn file red">
999 <td class="ssnn file red">
1004 <td class="nnns component red">
1007 <td class="snns plane red">same top term constructor</td>
1008 <td class="snns file red">tstc ( ? ≃ ? )</td>
1009 <td class="snnn file red">tstc_tstc tstc_vector</td>
1010 <td class="snnn file red">
1013 <td class="ssnn file red">
1018 <td class="nnns component red">
1021 <td class="snns plane red">closures</td>
1022 <td class="snns file red">cl_shift ( ? @@ ? )</td>
1023 <td class="snnn file red">cl_weight ( ♯{?,?,?} )</td>
1024 <td class="snnn file red">
1027 <td class="ssnn file red">
1032 <td class="nnns component red">
1035 <td class="snns plane red">internal syntax</td>
1036 <td class="snns file red">genv</td>
1037 <td class="snnn file red">
1040 <td class="snnn file red">
1043 <td class="ssnn file red">
1048 <td class="nnns component red">
1051 <td class="nnns plane red">
1054 <td class="snns file red">lenv</td>
1055 <td class="snnn file red">lenv_weight ( ♯{?} )</td>
1056 <td class="snnn file red">lenv_length ( |?| )</td>
1057 <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
1060 <td class="nnns component red">
1063 <td class="nnns plane red">
1066 <td class="snns file red">term</td>
1067 <td class="snnn file red">term_weight ( ♯{?} )</td>
1068 <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
1069 <td class="ssnn file red">term_vector</td>
1072 <td class="nnns component red">
1075 <td class="nnns plane red">
1078 <td class="snns file red">item</td>
1079 <td class="snnn file red">
1082 <td class="snnn file red">
1085 <td class="ssnn file red">
1090 <td class="nnss component red">
1093 <td class="snss plane red">external syntax</td>
1094 <td class="snss file red">aarity</td>
1095 <td class="snsn file red">
1098 <td class="snsn file red">
1101 <td class="sssn file red">
1109 <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
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1111 one for each component.
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1139 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 04 Oct 2013 15:36:48 +0200</div>