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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">
30 <table cellpadding="4" cellspacing="0">
33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/index.html">home</a>
36 <td class="snns capitalize italic magenta">
37 <a href="http://lambdadelta.info/news.html">news</a>
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40 <a href="http://lambdadelta.info/documentation.html">documentation</a>
42 <td class="snns capitalize italic green">
43 <a href="http://lambdadelta.info/specification.html">specification</a>
45 <td class="snnn capitalize italic green">
48 <td class="ssns capitalize italic green">
49 <a href="http://lambdadelta.info/implementation.html">implementation</a>
53 <td class="snns capitalize sky">
54 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
56 <td class="snns capitalize magenta">
57 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
59 <td class="snns capitalize orange">
60 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
62 <td class="snns capitalize green">
63 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
65 <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>
66 <td class="ssns capitalize green">
67 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
71 <td class="snss capitalize sky">
72 <a href="http://lambdadelta.info/index.html#citations">citations</a>
74 <td class="snss capitalize magenta">
75 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
77 <td class="snss capitalize orange">
78 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
80 <td class="snss capitalize green">
81 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
83 <td class="snsn capitalize green">
86 <td class="ssss capitalize green">
87 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
95 <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" />
97 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
100 <div xmlns:ld="http://lambdadelta.info/" class="text">
101 <table cellpadding="4" cellspacing="0">
104 <td class="snns capitalize italic gray">category</td>
105 <td class="snns italic gray">objects</td>
106 <td class="snnn right italic gray">
109 <td class="snnn italic gray">
112 <td class="snnn right italic gray">
115 <td class="snnn italic gray">
118 <td class="ssnn right italic gray">
123 <td class="snns capitalize italic cyan">sizes</td>
124 <td class="snns italic cyan">files</td>
125 <td class="snnn right italic cyan">360</td>
126 <td class="snns italic cyan">characters</td>
127 <td class="snnn right italic cyan">433402</td>
128 <td class="snns italic cyan">nodes</td>
129 <td class="ssnn right italic cyan">1874774</td>
132 <td class="snns capitalize italic green">propositions</td>
133 <td class="snns italic green">theorems</td>
134 <td class="snnn right italic green">130</td>
135 <td class="snns italic green">lemmas</td>
136 <td class="snnn right italic green">1286</td>
137 <td class="snns italic green">total</td>
138 <td class="ssnn right italic green">1416</td>
141 <td class="snss capitalize italic yellow">concepts</td>
142 <td class="snss italic yellow">declared</td>
143 <td class="snsn right italic yellow">54</td>
144 <td class="snss italic yellow">defined</td>
145 <td class="snsn right italic yellow">89</td>
146 <td class="snss italic yellow">total</td>
147 <td class="sssn right italic yellow">143</td>
153 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
154 <ul xmlns:ld="http://lambdadelta.info/">
156 <span class="emph alpha">Ongoing.</span>
157 Context-sensitive subject equivalence
158 for native type assignment.
162 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A">Stage "A": "Extending the Applicability Condition"</div>
163 <ul xmlns:ld="http://lambdadelta.info/">
165 <span class="emph gamma">2014 October 28.</span>
166 λδ version 2A is released.
169 <ul xmlns:ld="http://lambdadelta.info/">
171 <span class="emph beta">2014 September 9.</span>
172 Iterated static type assignment defined (more elegantly)
173 as a primitive notion.
176 <ul xmlns:ld="http://lambdadelta.info/">
178 <span class="emph beta">2014 June 18.</span>
179 Preservation of stratified native validity
180 for context-sensitive computation on terms.
183 <ul xmlns:ld="http://lambdadelta.info/">
185 <span class="emph alpha">2014 June 9.</span>
186 Strong qrst-normalization
187 for simply typed terms.
190 <ul xmlns:ld="http://lambdadelta.info/">
192 <span class="emph alpha">2014 April 16.</span>
193 Lazy equivalence on local environments
194 addded as q-step to rst-computation on closures
195 (anniversary milestone).
198 <ul xmlns:ld="http://lambdadelta.info/">
200 <span class="emph alpha">2014 January 20.</span>
201 Parametrized slicing of local environments
202 comprises both versions of this operation
203 (one from basic_1, the other used in basic_2 till now).
206 <ul xmlns:ld="http://lambdadelta.info/">
208 <span class="emph alpha">2013 August 7.</span>
209 Passive support for global environments.
212 <ul xmlns:ld="http://lambdadelta.info/">
214 <span class="emph alpha">2013 July 27.</span>
215 Reaxiomatized β-reductum as in rt-reduction.
218 <ul xmlns:ld="http://lambdadelta.info/">
220 <span class="emph alpha">2013 July 20.</span>
221 Context-sensitive strong rt-normalization
222 for simply typed terms.
225 <ul xmlns:ld="http://lambdadelta.info/">
227 <span class="emph alpha">2013 April 16.</span>
228 Reaxiomatized substitution and reduction
229 commute with respect to subclosure
230 (anniversary milestone).
233 <ul xmlns:ld="http://lambdadelta.info/">
235 <span class="emph alpha">2013 March 16.</span>
236 Mutual recursive preservation of stratified native validity
237 for rst-computation on closures.
240 <ul xmlns:ld="http://lambdadelta.info/">
242 <span class="emph alpha">2012 October 16.</span>
243 Confluence for context-free parallel reduction on closures.
246 <ul xmlns:ld="http://lambdadelta.info/">
248 <span class="emph alpha">2012 July 26.</span>
249 Term binders polarized to control ζ-reduction (not released).
252 <ul xmlns:ld="http://lambdadelta.info/">
254 <span class="emph alpha">2012 April 16.</span>
255 Context-sensitive subject equivalence
256 for atomic arity assignment
257 (anniversary milestone).
260 <ul xmlns:ld="http://lambdadelta.info/">
262 <span class="emph alpha">2012 March 15.</span>
263 Context-sensitive strong normalization
264 for simply typed terms.
267 <ul xmlns:ld="http://lambdadelta.info/">
269 <span class="emph alpha">2012 January 27.</span>
270 Support for abstract candidates of reducibility.
273 <ul xmlns:ld="http://lambdadelta.info/">
275 <span class="emph alpha">2011 September 21.</span>
276 Confluence for context-sensitive parallel reduction on terms.
279 <ul xmlns:ld="http://lambdadelta.info/">
281 <span class="emph alpha">2011 September 6.</span>
282 Confluence for context-free parallel reduction on terms.
285 <ul xmlns:ld="http://lambdadelta.info/">
287 <span class="emph alpha">2011 April 17.</span>
288 Specification starts.
292 <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" />
294 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
296 <div xmlns:ld="http://lambdadelta.info/" class="text">
297 <table cellpadding="4" cellspacing="0">
300 <td class="snns top capitalize italic gray">component</td>
301 <td class="snns top italic gray">plane</td>
302 <td class="snns top gray">files</td>
303 <td class="snnn top gray">
306 <td class="snnn top gray">
309 <td class="ssnn top gray">
314 <td class="snns top capitalize italic wine">examples</td>
315 <td class="snns top italic wine">terms with special features</td>
316 <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
317 <td class="snnn top wine">
320 <td class="snnn top wine">
323 <td class="ssnn top wine">
328 <td class="snns top capitalize italic magenta" />
329 <td class="snns top italic magenta" />
330 <td class="snns top magenta" />
331 <td class="snnn top magenta">
334 <td class="snnn top magenta">
337 <td class="ssnn top magenta">
342 <td class="snns top capitalize italic prune">dynamic typing</td>
343 <td class="snns top italic prune">local env. ref. for stratified native validity</td>
344 <td class="snns top prune">lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )</td>
345 <td class="snnn top prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv</td>
346 <td class="snnn top prune">
349 <td class="ssnn top prune">
354 <td class="nnns top capitalize italic prune">
357 <td class="snns top italic prune">stratified native validity</td>
358 <td class="snns top prune">shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )</td>
359 <td class="snnn top prune">
362 <td class="snnn top prune">
365 <td class="ssnn top prune">
370 <td class="nnns top capitalize italic prune">
373 <td class="nnns top italic prune">
376 <td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
377 <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>
378 <td class="snnn top prune">
381 <td class="ssnn top prune">
386 <td class="snns top capitalize italic blue">equivalence</td>
387 <td class="snns top italic blue">decomposed rt-equivalence</td>
388 <td class="snns top blue">scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )</td>
389 <td class="snnn top blue">scpes_aaa scpes_cpcs scpes_scpes</td>
390 <td class="snnn top blue">
393 <td class="ssnn top blue">
398 <td class="nnns top capitalize italic blue">
401 <td class="snns top italic blue">context-sensitive equivalence</td>
402 <td class="snns top blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
403 <td class="snnn top blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
404 <td class="snnn top blue">
407 <td class="ssnn top blue">
412 <td class="snns top capitalize italic sky">conversion</td>
413 <td class="snns top italic sky">context-sensitive conversion</td>
414 <td class="snns top sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
415 <td class="snnn top sky">cpc_cpc</td>
416 <td class="snnn top sky">
419 <td class="ssnn top sky">
424 <td class="snns top capitalize italic cyan">computation</td>
425 <td class="snns top italic cyan">evaluation for context-sensitive rt-reduction</td>
426 <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
427 <td class="snnn top cyan">
430 <td class="snnn top cyan">
433 <td class="ssnn top cyan">
438 <td class="nnns top capitalize italic cyan">
441 <td class="snns top italic cyan">evaluation for context-sensitive reduction</td>
442 <td class="snns top cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
443 <td class="snnn top cyan">cpre_cpre</td>
444 <td class="snnn top cyan">
447 <td class="ssnn top cyan">
452 <td class="nnns top capitalize italic cyan">
455 <td class="snns top italic cyan">strongly normalizing qrst-computation</td>
456 <td class="snns top cyan">fsb ( ⦥[?,?] ⦃?,?,?⦄ )</td>
457 <td class="snnn top cyan">fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )</td>
458 <td class="snnn top cyan">fsb_aaa fsb_csx</td>
459 <td class="ssnn top cyan">
464 <td class="nnns top capitalize italic cyan">
467 <td class="snns top italic cyan">strongly normalizing rt-computation</td>
468 <td class="snns top cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
469 <td class="snnn top cyan">lcosx_cpx</td>
470 <td class="snnn top cyan">
473 <td class="ssnn top cyan">
478 <td class="nnns top capitalize italic cyan">
481 <td class="nnns top italic cyan">
484 <td class="snns top cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
485 <td class="snnn top cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
486 <td class="snnn top cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
487 <td class="ssnn top cyan">
492 <td class="nnns top capitalize italic cyan">
495 <td class="nnns top italic cyan">
498 <td class="snns top cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
499 <td class="snnn top cyan">csx_tsts_vector csx_aaa</td>
500 <td class="snnn top cyan">
503 <td class="ssnn top cyan">
508 <td class="nnns top capitalize italic cyan">
511 <td class="nnns top italic cyan">
514 <td class="snns top cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
515 <td class="snnn top cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
516 <td class="snnn top cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
517 <td class="ssnn top cyan">
522 <td class="nnns top capitalize italic cyan">
525 <td class="snns top italic cyan">parallel qrst-computation</td>
526 <td class="snns top cyan">fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )</td>
527 <td class="snnn top cyan">fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg</td>
528 <td class="snnn top cyan">
531 <td class="ssnn top cyan">
536 <td class="nnns top capitalize italic cyan">
539 <td class="nnns top italic cyan">
542 <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
543 <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
544 <td class="snnn top cyan">fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs</td>
545 <td class="ssnn top cyan">
550 <td class="nnns top capitalize italic cyan">
553 <td class="snns top italic cyan">decomposed rt-computation</td>
554 <td class="snns top cyan">scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )</td>
555 <td class="snnn top cyan">scpds_lift scpds_aaa scpds_scpds</td>
556 <td class="snnn top cyan">
559 <td class="ssnn top cyan">
564 <td class="nnns top capitalize italic cyan">
567 <td class="snns top italic cyan">context-sensitive rt-computation</td>
568 <td class="snns top cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
569 <td class="snnn top cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
570 <td class="snnn top cyan">
573 <td class="ssnn top cyan">
578 <td class="nnns top capitalize italic cyan">
581 <td class="nnns top italic cyan">
584 <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
585 <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
586 <td class="snnn top cyan">
589 <td class="ssnn top cyan">
594 <td class="nnns top capitalize italic cyan">
597 <td class="snns top italic cyan">context-sensitive computation</td>
598 <td class="snns top cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
599 <td class="snnn top cyan">lprs_drop lprs_cprs lprs_lprs</td>
600 <td class="snnn top cyan">
603 <td class="ssnn top cyan">
608 <td class="nnns top capitalize italic cyan">
611 <td class="nnns top italic cyan">
614 <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
615 <td class="snnn top cyan">cprs_lift cprs_cprs</td>
616 <td class="snnn top cyan">
619 <td class="ssnn top cyan">
624 <td class="nnns top capitalize italic cyan">
627 <td class="snns top italic cyan">local env. ref. for generic reducibility</td>
628 <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
629 <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
630 <td class="snnn top cyan">
633 <td class="ssnn top cyan">
638 <td class="nnns top capitalize italic cyan">
641 <td class="snns top italic cyan">support for generic computation properties</td>
642 <td class="snns top cyan">gcp</td>
643 <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
644 <td class="snnn top cyan">gcp_aaa</td>
645 <td class="ssnn top cyan">
650 <td class="snns top capitalize italic water">reduction</td>
651 <td class="snns top italic water">parallel qrst-reduction</td>
652 <td class="snns top water">fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
653 <td class="snnn top water">fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )</td>
654 <td class="snnn top water">fpbq_lift fpbq_aaa</td>
655 <td class="ssnn top water">
660 <td class="nnns top capitalize italic water">
663 <td class="nnns top italic water">
666 <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
667 <td class="snnn top water">fpb_lift fpb_lleq fpb_fleq</td>
668 <td class="snnn top water">
671 <td class="ssnn top water">
676 <td class="nnns top capitalize italic water">
679 <td class="snns top italic water">normal forms for context-sensitive rt-reduction</td>
680 <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
681 <td class="snnn top water">cnx_lift cnx_crx cnx_cix</td>
682 <td class="snnn top water">
685 <td class="ssnn top water">
690 <td class="nnns top capitalize italic water">
693 <td class="snns top italic water">context-sensitive rt-reduction</td>
694 <td class="snns top water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
695 <td class="snnn top water">lpx_drop lpx_frees lpx_lleq lpx_aaa</td>
696 <td class="snnn top water">
699 <td class="ssnn top water">
704 <td class="nnns top capitalize italic water">
707 <td class="nnns top italic water">
710 <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
711 <td class="snnn top water">cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
712 <td class="snnn top water">
715 <td class="ssnn top water">
720 <td class="nnns top capitalize italic water">
723 <td class="snns top italic water">irreducible forms for context-sensitive rt-reduction</td>
724 <td class="snns top water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
725 <td class="snnn top water">cix_lift</td>
726 <td class="snnn top water">
729 <td class="ssnn top water">
734 <td class="nnns top capitalize italic water">
737 <td class="snns top italic water">reducible forms for context-sensitive rt-reduction</td>
738 <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
739 <td class="snnn top water">crx_lift</td>
740 <td class="snnn top water">
743 <td class="ssnn top water">
748 <td class="nnns top capitalize italic water">
751 <td class="snns top italic water">normal forms for context-sensitive reduction</td>
752 <td class="snns top water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
753 <td class="snnn top water">cnr_lift cnr_crr cnr_cir</td>
754 <td class="snnn top water">
757 <td class="ssnn top water">
762 <td class="nnns top capitalize italic water">
765 <td class="snns top italic water">context-sensitive reduction</td>
766 <td class="snns top water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
767 <td class="snnn top water">lpr_drop lpr_lpr</td>
768 <td class="snnn top water">
771 <td class="ssnn top water">
776 <td class="nnns top capitalize italic water">
779 <td class="nnns top italic water">
782 <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
783 <td class="snnn top water">cpr_lift cpr_llpx_sn cpr_cir</td>
784 <td class="snnn top water">
787 <td class="ssnn top water">
792 <td class="nnns top capitalize italic water">
795 <td class="snns top italic water">irreducible forms for context-sensitive reduction</td>
796 <td class="snns top water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
797 <td class="snnn top water">cir_lift</td>
798 <td class="snnn top water">
801 <td class="ssnn top water">
806 <td class="nnns top capitalize italic water">
809 <td class="snns top italic water">reducible forms for context-sensitive reduction</td>
810 <td class="snns top water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
811 <td class="snnn top water">crr_lift</td>
812 <td class="snnn top water">
815 <td class="ssnn top water">
820 <td class="snns top capitalize italic green">unfold</td>
821 <td class="snns top italic green">unfold</td>
822 <td class="snns top green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
823 <td class="snnn top green">
826 <td class="snnn top green">
829 <td class="ssnn top green">
834 <td class="nnns top capitalize italic green">
837 <td class="snns top italic green">iterated static type assignment</td>
838 <td class="snns top green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
839 <td class="snnn top green">lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas</td>
840 <td class="snnn top green">
843 <td class="ssnn top green">
848 <td class="snns top capitalize italic grass">static typing</td>
849 <td class="snns top italic grass">local env. ref. for degree assignment</td>
850 <td class="snns top grass">lsubd ( ? ⊢ ? ⫃▪[?,?] ? )</td>
851 <td class="snnn top grass">lsubd_da lsubd_lsubd</td>
852 <td class="snnn top grass">
855 <td class="ssnn top grass">
860 <td class="nnns top capitalize italic grass">
863 <td class="snns top italic grass">degree assignment</td>
864 <td class="snns top grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
865 <td class="snnn top grass">da_lift da_aaa da_da</td>
866 <td class="snnn top grass">
869 <td class="ssnn top grass">
874 <td class="nnns top capitalize italic grass">
877 <td class="snns top italic grass">parameters</td>
878 <td class="snns top grass">sh</td>
879 <td class="snnn top grass">sd</td>
880 <td class="snnn top grass">
883 <td class="ssnn top grass">
888 <td class="nnns top capitalize italic grass">
891 <td class="snns top italic grass">local env. ref. for atomic arity assignment</td>
892 <td class="snns top grass">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
893 <td class="snnn top grass">lsuba_aaa lsuba_lsuba</td>
894 <td class="snnn top grass">
897 <td class="ssnn top grass">
902 <td class="nnns top capitalize italic grass">
905 <td class="snns top italic grass">atomic arity assignment</td>
906 <td class="snns top grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
907 <td class="snnn top grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
908 <td class="snnn top grass">
911 <td class="ssnn top grass">
916 <td class="nnns top capitalize italic grass">
919 <td class="snns top italic grass">restricted local env. ref.</td>
920 <td class="snns top grass">lsubr ( ? ⫃ ? )</td>
921 <td class="snnn top grass">lsubr_lsubr</td>
922 <td class="snnn top grass">
925 <td class="ssnn top grass">
930 <td class="snns top capitalize italic yellow">multiple substitution</td>
931 <td class="snns top italic yellow">lazy equivalence</td>
932 <td class="snns top yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
933 <td class="snnn top yellow">fleq_fleq</td>
934 <td class="snnn top yellow">
937 <td class="ssnn top yellow">
942 <td class="nnns top capitalize italic yellow">
945 <td class="nnns top italic yellow">
948 <td class="snns top yellow">lleq ( ? ≡[?,?] ? )</td>
949 <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
950 <td class="snnn top yellow">
953 <td class="ssnn top yellow">
958 <td class="nnns top capitalize italic yellow">
961 <td class="snns top italic yellow">lazy pointwise extension of a relation</td>
962 <td class="snns top yellow">llpx_sn</td>
963 <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>
964 <td class="snnn top yellow">
967 <td class="ssnn top yellow">
972 <td class="nnns top capitalize italic yellow">
975 <td class="snns top italic yellow">pointwise union for local environments</td>
976 <td class="snns top yellow">llor ( ? ⋓[?,?] ? ≡ ? )</td>
977 <td class="snnn top yellow">llor_alt llor_drop</td>
978 <td class="snnn top yellow">
981 <td class="ssnn top yellow">
986 <td class="nnns top capitalize italic yellow">
989 <td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
990 <td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
991 <td class="snnn top yellow">frees_append frees_lreq frees_lift</td>
992 <td class="snnn top yellow">
995 <td class="ssnn top yellow">
1000 <td class="nnns top capitalize italic yellow">
1003 <td class="snns top italic yellow">contxt-sensitive multiple rt-substitution</td>
1004 <td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
1005 <td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
1006 <td class="snnn top yellow">cpys_lift cpys_cpys</td>
1007 <td class="ssnn top yellow">
1012 <td class="nnns top capitalize italic yellow">
1015 <td class="snns top italic yellow">iterated structural successor for closures</td>
1016 <td class="snns top yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
1017 <td class="snnn top yellow">fqus_alt fqus_fqus</td>
1018 <td class="snnn top yellow">
1021 <td class="ssnn top yellow">
1026 <td class="nnns top capitalize italic yellow">
1029 <td class="nnns top italic yellow">
1032 <td class="snns top yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
1033 <td class="snnn top yellow">fqup_fqup</td>
1034 <td class="snnn top yellow">
1037 <td class="ssnn top yellow">
1042 <td class="nnns top capitalize italic yellow">
1045 <td class="snns top italic yellow">iterated local env. slicing</td>
1046 <td class="snns top yellow">drops ( ⬇*[?,?] ? ≡ ? )</td>
1047 <td class="snnn top yellow">drops_drop drops_drops</td>
1048 <td class="snnn top yellow">
1051 <td class="ssnn top yellow">
1056 <td class="nnns top capitalize italic yellow">
1059 <td class="snns top italic yellow">generic term relocation</td>
1060 <td class="snns top yellow">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
1061 <td class="snnn top yellow">lifts_lift_vector</td>
1062 <td class="snnn top yellow">
1065 <td class="ssnn top yellow">
1070 <td class="nnns top capitalize italic yellow">
1073 <td class="nnns top italic yellow">
1076 <td class="snns top yellow">lifts ( ⬆*[?] ? ≡ ? )</td>
1077 <td class="snnn top yellow">lifts_lift lifts_lifts</td>
1078 <td class="snnn top yellow">
1081 <td class="ssnn top yellow">
1086 <td class="nnns top capitalize italic yellow">
1089 <td class="snns top italic yellow">support for multiple relocation</td>
1090 <td class="snns top yellow">mr2 ( @⦃?,?⦄ ≡ ? )</td>
1091 <td class="snnn top yellow">mr2_plus ( ? + ? )</td>
1092 <td class="snnn top yellow">mr2_minus ( ? ▭ ? ≡ ? )</td>
1093 <td class="ssnn top yellow">mr2_mr2</td>
1096 <td class="snns top capitalize italic orange">substitution</td>
1097 <td class="snns top italic orange">structural successor for closures</td>
1098 <td class="snns top orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
1099 <td class="snnn top orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
1100 <td class="snnn top orange">
1103 <td class="ssnn top orange">
1108 <td class="nnns top capitalize italic orange">
1111 <td class="nnns top italic orange">
1114 <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
1115 <td class="snnn top orange">
1118 <td class="snnn top orange">
1121 <td class="ssnn top orange">
1126 <td class="nnns top capitalize italic orange">
1129 <td class="snns top italic orange">global env. slicing</td>
1130 <td class="snns top orange">gget ( ⬇[?] ? ≡ ? )</td>
1131 <td class="snnn top orange">gget_gget</td>
1132 <td class="snnn top orange">
1135 <td class="ssnn top orange">
1140 <td class="nnns top capitalize italic orange">
1143 <td class="snns top italic orange">contxt-sensitive ordinary rt-substitution</td>
1144 <td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
1145 <td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
1146 <td class="snnn top orange">
1149 <td class="ssnn top orange">
1154 <td class="nnns top capitalize italic orange">
1157 <td class="snns top italic orange">local env. ref. for rt-substitution</td>
1158 <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
1159 <td class="snnn top orange">lsuby_lsuby</td>
1160 <td class="snnn top orange">
1163 <td class="ssnn top orange">
1168 <td class="nnns top capitalize italic orange">
1171 <td class="snns top italic orange">pointwise extension of a relation</td>
1172 <td class="snns top orange">lpx_sn</td>
1173 <td class="snnn top orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
1174 <td class="snnn top orange">
1177 <td class="ssnn top orange">
1182 <td class="nnns top capitalize italic orange">
1185 <td class="snns top italic orange">basic local env. slicing</td>
1186 <td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
1187 <td class="snnn top orange">drop_append drop_lreq drop_drop</td>
1188 <td class="snnn top orange">
1191 <td class="ssnn top orange">
1196 <td class="nnns top capitalize italic orange">
1199 <td class="snns top italic orange">basic term relocation</td>
1200 <td class="snns top orange">lift_vector ( ⬆[?,?] ? ≡ ? )</td>
1201 <td class="snnn top orange">lift_lift_vector</td>
1202 <td class="snnn top orange">
1205 <td class="ssnn top orange">
1210 <td class="nnns top capitalize italic orange">
1213 <td class="nnns top italic orange">
1216 <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
1217 <td class="snnn top orange">lift_neq lift_lift</td>
1218 <td class="snnn top orange">
1221 <td class="ssnn top orange">
1226 <td class="snns top capitalize italic red">grammar</td>
1227 <td class="snns top italic red">equivalence for local environments</td>
1228 <td class="snns top red">lreq ( ? ⩬[?,?] ? )</td>
1229 <td class="snnn top red">lreq_lreq</td>
1230 <td class="snnn top red">
1233 <td class="ssnn top red">
1238 <td class="nnns top capitalize italic red">
1241 <td class="snns top italic red">same top term structure</td>
1242 <td class="snns top red">tsts ( ? ≂ ? )</td>
1243 <td class="snnn top red">tsts_tsts tsts_vector</td>
1244 <td class="snnn top red">
1247 <td class="ssnn top red">
1252 <td class="nnns top capitalize italic red">
1255 <td class="snns top italic red">closures</td>
1256 <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
1257 <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
1258 <td class="snnn top red">
1261 <td class="ssnn top red">
1266 <td class="nnns top capitalize italic red">
1269 <td class="snns top italic red">internal syntax</td>
1270 <td class="snns top red">genv</td>
1271 <td class="snnn top red">
1274 <td class="snnn top red">
1277 <td class="ssnn top red">
1282 <td class="nnns top capitalize italic red">
1285 <td class="nnns top italic red">
1288 <td class="snns top red">lenv</td>
1289 <td class="snnn top red">lenv_weight ( ♯{?} )</td>
1290 <td class="snnn top red">lenv_length ( |?| )</td>
1291 <td class="ssnn top red">lenv_append ( ? @@ ? )</td>
1294 <td class="nnns top capitalize italic red">
1297 <td class="nnns top italic red">
1300 <td class="snns top red">term</td>
1301 <td class="snnn top red">term_weight ( ♯{?} )</td>
1302 <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
1303 <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
1306 <td class="nnns top capitalize italic red">
1309 <td class="nnns top italic red">
1312 <td class="snns top red">item</td>
1313 <td class="snnn top red">
1316 <td class="snnn top red">
1319 <td class="ssnn top red">
1324 <td class="nnss top capitalize italic red">
1327 <td class="snss top italic red">external syntax</td>
1328 <td class="snss top red">aarity</td>
1329 <td class="snsn top red">
1332 <td class="snsn top red">
1335 <td class="sssn top red">
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1369 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 04 Nov 2014 16:21:23 +0100</div>