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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/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="snns capitalize italic green">
49 <a href="http://lambdadelta.info/implementation.html">implementation</a>
51 <td class="ssnn capitalize italic green">
56 <td class="snns capitalize sky">
57 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
59 <td class="snns capitalize magenta">
60 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
62 <td class="snns capitalize orange">
63 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
65 <td class="snns capitalize green">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <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>
69 <td class="snns capitalize green">
70 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
72 <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
75 <td class="snss capitalize sky">
76 <a href="http://lambdadelta.info/index.html#citations">citations</a>
78 <td class="snss capitalize magenta">
79 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
81 <td class="snss capitalize orange">
82 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
84 <td class="snss capitalize green">
85 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
87 <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
88 <td class="snss capitalize green">
89 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
91 <td class="sssn capitalize green">
99 <section>System's Syntax and Behavior</section>
100 <body>This is a summary of the "block structure"
101 of the System's syntactic items and reductions.
103 <table name="basic_2_blk"/>
104 <body>* In terms only.
105 ** In terms and local environments only.
106 *** In global environments only.
107 **** Sort level k in terms only.
110 <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" />
112 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
115 <div xmlns:ld="http://lambdadelta.info/" class="text">
116 <table cellpadding="4" cellspacing="0">
119 <td class="snns capitalize italic gray">category</td>
120 <td class="snns italic gray">objects</td>
121 <td class="snnn right italic gray">
124 <td class="snnn italic gray">
127 <td class="snnn right italic gray">
130 <td class="snnn italic gray">
133 <td class="ssnn right italic gray">
138 <td class="snns capitalize italic cyan">sizes</td>
139 <td class="snns italic cyan">files</td>
140 <td class="snnn right italic cyan">360</td>
141 <td class="snns italic cyan">characters</td>
142 <td class="snnn right italic cyan">433402</td>
143 <td class="snns italic cyan">nodes</td>
144 <td class="ssnn right italic cyan">1874774</td>
147 <td class="snns capitalize italic green">propositions</td>
148 <td class="snns italic green">theorems</td>
149 <td class="snnn right italic green">130</td>
150 <td class="snns italic green">lemmas</td>
151 <td class="snnn right italic green">1286</td>
152 <td class="snns italic green">total</td>
153 <td class="ssnn right italic green">1416</td>
156 <td class="snss capitalize italic yellow">concepts</td>
157 <td class="snss italic yellow">declared</td>
158 <td class="snsn right italic yellow">54</td>
159 <td class="snss italic yellow">defined</td>
160 <td class="snsn right italic yellow">89</td>
161 <td class="snss italic yellow">total</td>
162 <td class="sssn right italic yellow">143</td>
167 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
168 <ul xmlns:ld="http://lambdadelta.info/">
170 <span class="emph alpha">Ongoing.</span>
171 Context-sensitive subject equivalence
172 for native type assignment.
175 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A">Stage "A": "Extending the Applicability Condition"</div>
176 <ul xmlns:ld="http://lambdadelta.info/">
178 <span class="emph gamma">2014 October 28.</span>
179 λδ version 2A is released.
182 <ul xmlns:ld="http://lambdadelta.info/">
184 <span class="emph beta">2014 September 9.</span>
185 Iterated static type assignment defined (more elegantly)
186 as a primitive notion.
189 <ul xmlns:ld="http://lambdadelta.info/">
191 <span class="emph beta">2014 June 18.</span>
192 Preservation of stratified native validity
193 for context-sensitive computation on terms.
196 <ul xmlns:ld="http://lambdadelta.info/">
198 <span class="emph alpha">2014 June 9.</span>
199 Strong qrst-normalization
200 for simply typed terms.
203 <ul xmlns:ld="http://lambdadelta.info/">
205 <span class="emph alpha">2014 April 16.</span>
206 Lazy equivalence on local environments
207 addded as q-step to rst-computation on closures
208 (anniversary milestone).
211 <ul xmlns:ld="http://lambdadelta.info/">
213 <span class="emph alpha">2014 January 20.</span>
214 Parametrized slicing of local environments
215 comprises both versions of this operation
216 (one from basic_1, the other used in basic_2 till now).
219 <ul xmlns:ld="http://lambdadelta.info/">
221 <span class="emph alpha">2013 August 7.</span>
222 Passive support for global environments.
225 <ul xmlns:ld="http://lambdadelta.info/">
227 <span class="emph alpha">2013 July 27.</span>
228 Reaxiomatized β-reductum as in rt-reduction.
231 <ul xmlns:ld="http://lambdadelta.info/">
233 <span class="emph alpha">2013 July 20.</span>
234 Context-sensitive strong rt-normalization
235 for simply typed terms.
238 <ul xmlns:ld="http://lambdadelta.info/">
240 <span class="emph alpha">2013 April 16.</span>
241 Reaxiomatized substitution and reduction
242 commute with respect to subclosure
243 (anniversary milestone).
246 <ul xmlns:ld="http://lambdadelta.info/">
248 <span class="emph alpha">2013 March 16.</span>
249 Mutual recursive preservation of stratified native validity
250 for rst-computation on closures.
253 <ul xmlns:ld="http://lambdadelta.info/">
255 <span class="emph alpha">2012 October 16.</span>
256 Confluence for context-free parallel reduction on closures.
259 <ul xmlns:ld="http://lambdadelta.info/">
261 <span class="emph alpha">2012 July 26.</span>
262 Term binders polarized to control ζ-reduction (not released).
265 <ul xmlns:ld="http://lambdadelta.info/">
267 <span class="emph alpha">2012 April 16.</span>
268 Context-sensitive subject equivalence
269 for atomic arity assignment
270 (anniversary milestone).
273 <ul xmlns:ld="http://lambdadelta.info/">
275 <span class="emph alpha">2012 March 15.</span>
276 Context-sensitive strong normalization
277 for simply typed terms.
280 <ul xmlns:ld="http://lambdadelta.info/">
282 <span class="emph alpha">2012 January 27.</span>
283 Support for abstract candidates of reducibility.
286 <ul xmlns:ld="http://lambdadelta.info/">
288 <span class="emph alpha">2011 September 21.</span>
289 Confluence for context-sensitive parallel reduction on terms.
292 <ul xmlns:ld="http://lambdadelta.info/">
294 <span class="emph alpha">2011 September 6.</span>
295 Confluence for context-free parallel reduction on terms.
298 <ul xmlns:ld="http://lambdadelta.info/">
300 <span class="emph alpha">2011 April 17.</span>
301 Specification starts.
304 <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" />
306 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
308 <div xmlns:ld="http://lambdadelta.info/" class="text">
309 <table cellpadding="4" cellspacing="0">
312 <td class="snns top capitalize italic gray">component</td>
313 <td class="snns top italic gray">plane</td>
314 <td class="snns top gray">files</td>
315 <td class="snnn top gray">
318 <td class="snnn top gray">
321 <td class="ssnn top gray">
326 <td class="snns top capitalize italic wine">examples</td>
327 <td class="snns top italic wine">terms with special features</td>
328 <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
329 <td class="snnn top wine">
332 <td class="snnn top wine">
335 <td class="ssnn top wine">
340 <td class="snns top capitalize italic magenta" />
341 <td class="snns top italic magenta" />
342 <td class="snns top magenta" />
343 <td class="snnn top magenta">
346 <td class="snnn top magenta">
349 <td class="ssnn top magenta">
354 <td class="snns top capitalize italic prune">dynamic typing</td>
355 <td class="snns top italic prune">local env. ref. for stratified native validity</td>
356 <td class="snns top prune">lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )</td>
357 <td class="snnn top prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv</td>
358 <td class="snnn top prune">
361 <td class="ssnn top prune">
366 <td class="nnns top capitalize italic prune">
369 <td class="snns top italic prune">stratified native validity</td>
370 <td class="snns top prune">shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )</td>
371 <td class="snnn top prune">
374 <td class="snnn top prune">
377 <td class="ssnn top prune">
382 <td class="nnns top capitalize italic prune">
385 <td class="nnns top italic prune">
388 <td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
389 <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>
390 <td class="snnn top prune">
393 <td class="ssnn top prune">
398 <td class="snns top capitalize italic blue">equivalence</td>
399 <td class="snns top italic blue">decomposed rt-equivalence</td>
400 <td class="snns top blue">scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )</td>
401 <td class="snnn top blue">scpes_aaa scpes_cpcs scpes_scpes</td>
402 <td class="snnn top blue">
405 <td class="ssnn top blue">
410 <td class="nnns top capitalize italic blue">
413 <td class="snns top italic blue">context-sensitive equivalence</td>
414 <td class="snns top blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
415 <td class="snnn top blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
416 <td class="snnn top blue">
419 <td class="ssnn top blue">
424 <td class="snns top capitalize italic sky">conversion</td>
425 <td class="snns top italic sky">context-sensitive conversion</td>
426 <td class="snns top sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
427 <td class="snnn top sky">cpc_cpc</td>
428 <td class="snnn top sky">
431 <td class="ssnn top sky">
436 <td class="snns top capitalize italic cyan">computation</td>
437 <td class="snns top italic cyan">evaluation for context-sensitive rt-reduction</td>
438 <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
439 <td class="snnn top cyan">
442 <td class="snnn top cyan">
445 <td class="ssnn top cyan">
450 <td class="nnns top capitalize italic cyan">
453 <td class="snns top italic cyan">evaluation for context-sensitive reduction</td>
454 <td class="snns top cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
455 <td class="snnn top cyan">cpre_cpre</td>
456 <td class="snnn top cyan">
459 <td class="ssnn top cyan">
464 <td class="nnns top capitalize italic cyan">
467 <td class="snns top italic cyan">strongly normalizing qrst-computation</td>
468 <td class="snns top cyan">fsb ( ⦥[?,?] ⦃?,?,?⦄ )</td>
469 <td class="snnn top cyan">fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )</td>
470 <td class="snnn top cyan">fsb_aaa fsb_csx</td>
471 <td class="ssnn top cyan">
476 <td class="nnns top capitalize italic cyan">
479 <td class="snns top italic cyan">strongly normalizing rt-computation</td>
480 <td class="snns top cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
481 <td class="snnn top cyan">lcosx_cpx</td>
482 <td class="snnn top cyan">
485 <td class="ssnn top cyan">
490 <td class="nnns top capitalize italic cyan">
493 <td class="nnns top italic cyan">
496 <td class="snns top cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
497 <td class="snnn top cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
498 <td class="snnn top cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
499 <td class="ssnn top cyan">
504 <td class="nnns top capitalize italic cyan">
507 <td class="nnns top italic cyan">
510 <td class="snns top cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
511 <td class="snnn top cyan">csx_tsts_vector csx_aaa</td>
512 <td class="snnn top cyan">
515 <td class="ssnn top cyan">
520 <td class="nnns top capitalize italic cyan">
523 <td class="nnns top italic cyan">
526 <td class="snns top cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
527 <td class="snnn top cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
528 <td class="snnn top cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
529 <td class="ssnn top cyan">
534 <td class="nnns top capitalize italic cyan">
537 <td class="snns top italic cyan">parallel qrst-computation</td>
538 <td class="snns top cyan">fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )</td>
539 <td class="snnn top cyan">fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg</td>
540 <td class="snnn top cyan">
543 <td class="ssnn top cyan">
548 <td class="nnns top capitalize italic cyan">
551 <td class="nnns top italic cyan">
554 <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
555 <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
556 <td class="snnn top cyan">fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs</td>
557 <td class="ssnn top cyan">
562 <td class="nnns top capitalize italic cyan">
565 <td class="snns top italic cyan">decomposed rt-computation</td>
566 <td class="snns top cyan">scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )</td>
567 <td class="snnn top cyan">scpds_lift scpds_aaa scpds_scpds</td>
568 <td class="snnn top cyan">
571 <td class="ssnn top cyan">
576 <td class="nnns top capitalize italic cyan">
579 <td class="snns top italic cyan">context-sensitive rt-computation</td>
580 <td class="snns top cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
581 <td class="snnn top cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
582 <td class="snnn top cyan">
585 <td class="ssnn top cyan">
590 <td class="nnns top capitalize italic cyan">
593 <td class="nnns top italic cyan">
596 <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
597 <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
598 <td class="snnn top cyan">
601 <td class="ssnn top cyan">
606 <td class="nnns top capitalize italic cyan">
609 <td class="snns top italic cyan">context-sensitive computation</td>
610 <td class="snns top cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
611 <td class="snnn top cyan">lprs_drop lprs_cprs lprs_lprs</td>
612 <td class="snnn top cyan">
615 <td class="ssnn top cyan">
620 <td class="nnns top capitalize italic cyan">
623 <td class="nnns top italic cyan">
626 <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
627 <td class="snnn top cyan">cprs_lift cprs_cprs</td>
628 <td class="snnn top cyan">
631 <td class="ssnn top cyan">
636 <td class="nnns top capitalize italic cyan">
639 <td class="snns top italic cyan">local env. ref. for generic reducibility</td>
640 <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
641 <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
642 <td class="snnn top cyan">
645 <td class="ssnn top cyan">
650 <td class="nnns top capitalize italic cyan">
653 <td class="snns top italic cyan">support for generic computation properties</td>
654 <td class="snns top cyan">gcp</td>
655 <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
656 <td class="snnn top cyan">gcp_aaa</td>
657 <td class="ssnn top cyan">
662 <td class="snns top capitalize italic water">reduction</td>
663 <td class="snns top italic water">parallel qrst-reduction</td>
664 <td class="snns top water">fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
665 <td class="snnn top water">fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )</td>
666 <td class="snnn top water">fpbq_lift fpbq_aaa</td>
667 <td class="ssnn top water">
672 <td class="nnns top capitalize italic water">
675 <td class="nnns top italic water">
678 <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
679 <td class="snnn top water">fpb_lift fpb_lleq fpb_fleq</td>
680 <td class="snnn top water">
683 <td class="ssnn top water">
688 <td class="nnns top capitalize italic water">
691 <td class="snns top italic water">normal forms for context-sensitive rt-reduction</td>
692 <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
693 <td class="snnn top water">cnx_lift cnx_crx cnx_cix</td>
694 <td class="snnn top water">
697 <td class="ssnn top water">
702 <td class="nnns top capitalize italic water">
705 <td class="snns top italic water">context-sensitive rt-reduction</td>
706 <td class="snns top water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
707 <td class="snnn top water">lpx_drop lpx_frees lpx_lleq lpx_aaa</td>
708 <td class="snnn top water">
711 <td class="ssnn top water">
716 <td class="nnns top capitalize italic water">
719 <td class="nnns top italic water">
722 <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
723 <td class="snnn top water">cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
724 <td class="snnn top water">
727 <td class="ssnn top water">
732 <td class="nnns top capitalize italic water">
735 <td class="snns top italic water">irreducible forms for context-sensitive rt-reduction</td>
736 <td class="snns top water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
737 <td class="snnn top water">cix_lift</td>
738 <td class="snnn top water">
741 <td class="ssnn top water">
746 <td class="nnns top capitalize italic water">
749 <td class="snns top italic water">reducible forms for context-sensitive rt-reduction</td>
750 <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
751 <td class="snnn top water">crx_lift</td>
752 <td class="snnn top water">
755 <td class="ssnn top water">
760 <td class="nnns top capitalize italic water">
763 <td class="snns top italic water">normal forms for context-sensitive reduction</td>
764 <td class="snns top water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
765 <td class="snnn top water">cnr_lift cnr_crr cnr_cir</td>
766 <td class="snnn top water">
769 <td class="ssnn top water">
774 <td class="nnns top capitalize italic water">
777 <td class="snns top italic water">context-sensitive reduction</td>
778 <td class="snns top water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
779 <td class="snnn top water">lpr_drop lpr_lpr</td>
780 <td class="snnn top water">
783 <td class="ssnn top water">
788 <td class="nnns top capitalize italic water">
791 <td class="nnns top italic water">
794 <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
795 <td class="snnn top water">cpr_lift cpr_llpx_sn cpr_cir</td>
796 <td class="snnn top water">
799 <td class="ssnn top water">
804 <td class="nnns top capitalize italic water">
807 <td class="snns top italic water">irreducible forms for context-sensitive reduction</td>
808 <td class="snns top water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
809 <td class="snnn top water">cir_lift</td>
810 <td class="snnn top water">
813 <td class="ssnn top water">
818 <td class="nnns top capitalize italic water">
821 <td class="snns top italic water">reducible forms for context-sensitive reduction</td>
822 <td class="snns top water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
823 <td class="snnn top water">crr_lift</td>
824 <td class="snnn top water">
827 <td class="ssnn top water">
832 <td class="snns top capitalize italic green">unfold</td>
833 <td class="snns top italic green">unfold</td>
834 <td class="snns top green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
835 <td class="snnn top green">
838 <td class="snnn top green">
841 <td class="ssnn top green">
846 <td class="nnns top capitalize italic green">
849 <td class="snns top italic green">iterated static type assignment</td>
850 <td class="snns top green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
851 <td class="snnn top green">lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas</td>
852 <td class="snnn top green">
855 <td class="ssnn top green">
860 <td class="snns top capitalize italic grass">static typing</td>
861 <td class="snns top italic grass">local env. ref. for degree assignment</td>
862 <td class="snns top grass">lsubd ( ? ⊢ ? ⫃▪[?,?] ? )</td>
863 <td class="snnn top grass">lsubd_da lsubd_lsubd</td>
864 <td class="snnn top grass">
867 <td class="ssnn top grass">
872 <td class="nnns top capitalize italic grass">
875 <td class="snns top italic grass">degree assignment</td>
876 <td class="snns top grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
877 <td class="snnn top grass">da_lift da_aaa da_da</td>
878 <td class="snnn top grass">
881 <td class="ssnn top grass">
886 <td class="nnns top capitalize italic grass">
889 <td class="snns top italic grass">parameters</td>
890 <td class="snns top grass">sh</td>
891 <td class="snnn top grass">sd</td>
892 <td class="snnn top grass">
895 <td class="ssnn top grass">
900 <td class="nnns top capitalize italic grass">
903 <td class="snns top italic grass">local env. ref. for atomic arity assignment</td>
904 <td class="snns top grass">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
905 <td class="snnn top grass">lsuba_aaa lsuba_lsuba</td>
906 <td class="snnn top grass">
909 <td class="ssnn top grass">
914 <td class="nnns top capitalize italic grass">
917 <td class="snns top italic grass">atomic arity assignment</td>
918 <td class="snns top grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
919 <td class="snnn top grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
920 <td class="snnn top grass">
923 <td class="ssnn top grass">
928 <td class="nnns top capitalize italic grass">
931 <td class="snns top italic grass">restricted local env. ref.</td>
932 <td class="snns top grass">lsubr ( ? ⫃ ? )</td>
933 <td class="snnn top grass">lsubr_lsubr</td>
934 <td class="snnn top grass">
937 <td class="ssnn top grass">
942 <td class="snns top capitalize italic yellow">multiple substitution</td>
943 <td class="snns top italic yellow">lazy equivalence</td>
944 <td class="snns top yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
945 <td class="snnn top yellow">fleq_fleq</td>
946 <td class="snnn top yellow">
949 <td class="ssnn top yellow">
954 <td class="nnns top capitalize italic yellow">
957 <td class="nnns top italic yellow">
960 <td class="snns top yellow">lleq ( ? ≡[?,?] ? )</td>
961 <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
962 <td class="snnn top yellow">
965 <td class="ssnn top yellow">
970 <td class="nnns top capitalize italic yellow">
973 <td class="snns top italic yellow">lazy pointwise extension of a relation</td>
974 <td class="snns top yellow">llpx_sn</td>
975 <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>
976 <td class="snnn top yellow">
979 <td class="ssnn top yellow">
984 <td class="nnns top capitalize italic yellow">
987 <td class="snns top italic yellow">pointwise union for local environments</td>
988 <td class="snns top yellow">llor ( ? ⋓[?,?] ? ≡ ? )</td>
989 <td class="snnn top yellow">llor_alt llor_drop</td>
990 <td class="snnn top yellow">
993 <td class="ssnn top yellow">
998 <td class="nnns top capitalize italic yellow">
1001 <td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
1002 <td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
1003 <td class="snnn top yellow">frees_append frees_lreq frees_lift</td>
1004 <td class="snnn top yellow">
1007 <td class="ssnn top yellow">
1012 <td class="nnns top capitalize italic yellow">
1015 <td class="snns top italic yellow">contxt-sensitive multiple rt-substitution</td>
1016 <td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
1017 <td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
1018 <td class="snnn top yellow">cpys_lift cpys_cpys</td>
1019 <td class="ssnn top yellow">
1024 <td class="nnns top capitalize italic yellow">
1027 <td class="snns top italic yellow">iterated structural successor for closures</td>
1028 <td class="snns top yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
1029 <td class="snnn top yellow">fqus_alt fqus_fqus</td>
1030 <td class="snnn top yellow">
1033 <td class="ssnn top yellow">
1038 <td class="nnns top capitalize italic yellow">
1041 <td class="nnns top italic yellow">
1044 <td class="snns top yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
1045 <td class="snnn top yellow">fqup_fqup</td>
1046 <td class="snnn top yellow">
1049 <td class="ssnn top yellow">
1054 <td class="nnns top capitalize italic yellow">
1057 <td class="snns top italic yellow">iterated local env. slicing</td>
1058 <td class="snns top yellow">drops ( ⬇*[?,?] ? ≡ ? )</td>
1059 <td class="snnn top yellow">drops_drop drops_drops</td>
1060 <td class="snnn top yellow">
1063 <td class="ssnn top yellow">
1068 <td class="nnns top capitalize italic yellow">
1071 <td class="snns top italic yellow">generic term relocation</td>
1072 <td class="snns top yellow">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
1073 <td class="snnn top yellow">lifts_lift_vector</td>
1074 <td class="snnn top yellow">
1077 <td class="ssnn top yellow">
1082 <td class="nnns top capitalize italic yellow">
1085 <td class="nnns top italic yellow">
1088 <td class="snns top yellow">lifts ( ⬆*[?] ? ≡ ? )</td>
1089 <td class="snnn top yellow">lifts_lift lifts_lifts</td>
1090 <td class="snnn top yellow">
1093 <td class="ssnn top yellow">
1098 <td class="nnns top capitalize italic yellow">
1101 <td class="snns top italic yellow">support for multiple relocation</td>
1102 <td class="snns top yellow">mr2 ( @⦃?,?⦄ ≡ ? )</td>
1103 <td class="snnn top yellow">mr2_plus ( ? + ? )</td>
1104 <td class="snnn top yellow">mr2_minus ( ? ▭ ? ≡ ? )</td>
1105 <td class="ssnn top yellow">mr2_mr2</td>
1108 <td class="snns top capitalize italic orange">substitution</td>
1109 <td class="snns top italic orange">structural successor for closures</td>
1110 <td class="snns top orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
1111 <td class="snnn top orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
1112 <td class="snnn top orange">
1115 <td class="ssnn top orange">
1120 <td class="nnns top capitalize italic orange">
1123 <td class="nnns top italic orange">
1126 <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
1127 <td class="snnn top orange">
1130 <td class="snnn top orange">
1133 <td class="ssnn top orange">
1138 <td class="nnns top capitalize italic orange">
1141 <td class="snns top italic orange">global env. slicing</td>
1142 <td class="snns top orange">gget ( ⬇[?] ? ≡ ? )</td>
1143 <td class="snnn top orange">gget_gget</td>
1144 <td class="snnn top orange">
1147 <td class="ssnn top orange">
1152 <td class="nnns top capitalize italic orange">
1155 <td class="snns top italic orange">contxt-sensitive ordinary rt-substitution</td>
1156 <td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
1157 <td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
1158 <td class="snnn top orange">
1161 <td class="ssnn top orange">
1166 <td class="nnns top capitalize italic orange">
1169 <td class="snns top italic orange">local env. ref. for rt-substitution</td>
1170 <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
1171 <td class="snnn top orange">lsuby_lsuby</td>
1172 <td class="snnn top orange">
1175 <td class="ssnn top orange">
1180 <td class="nnns top capitalize italic orange">
1183 <td class="snns top italic orange">pointwise extension of a relation</td>
1184 <td class="snns top orange">lpx_sn</td>
1185 <td class="snnn top orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
1186 <td class="snnn top orange">
1189 <td class="ssnn top orange">
1194 <td class="nnns top capitalize italic orange">
1197 <td class="snns top italic orange">basic local env. slicing</td>
1198 <td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
1199 <td class="snnn top orange">drop_append drop_lreq drop_drop</td>
1200 <td class="snnn top orange">
1203 <td class="ssnn top orange">
1208 <td class="nnns top capitalize italic orange">
1211 <td class="snns top italic orange">basic term relocation</td>
1212 <td class="snns top orange">lift_vector ( ⬆[?,?] ? ≡ ? )</td>
1213 <td class="snnn top orange">lift_lift_vector</td>
1214 <td class="snnn top orange">
1217 <td class="ssnn top orange">
1222 <td class="nnns top capitalize italic orange">
1225 <td class="nnns top italic orange">
1228 <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
1229 <td class="snnn top orange">lift_neq lift_lift</td>
1230 <td class="snnn top orange">
1233 <td class="ssnn top orange">
1238 <td class="snns top capitalize italic red">grammar</td>
1239 <td class="snns top italic red">equivalence for local environments</td>
1240 <td class="snns top red">lreq ( ? ⩬[?,?] ? )</td>
1241 <td class="snnn top red">lreq_lreq</td>
1242 <td class="snnn top red">
1245 <td class="ssnn top red">
1250 <td class="nnns top capitalize italic red">
1253 <td class="snns top italic red">same top term structure</td>
1254 <td class="snns top red">tsts ( ? ≂ ? )</td>
1255 <td class="snnn top red">tsts_tsts tsts_vector</td>
1256 <td class="snnn top red">
1259 <td class="ssnn top red">
1264 <td class="nnns top capitalize italic red">
1267 <td class="snns top italic red">closures</td>
1268 <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
1269 <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
1270 <td class="snnn top red">
1273 <td class="ssnn top red">
1278 <td class="nnns top capitalize italic red">
1281 <td class="snns top italic red">internal syntax</td>
1282 <td class="snns top red">genv</td>
1283 <td class="snnn top red">
1286 <td class="snnn top red">
1289 <td class="ssnn top red">
1294 <td class="nnns top capitalize italic red">
1297 <td class="nnns top italic red">
1300 <td class="snns top red">lenv</td>
1301 <td class="snnn top red">lenv_weight ( ♯{?} )</td>
1302 <td class="snnn top red">lenv_length ( |?| )</td>
1303 <td class="ssnn top red">lenv_append ( ? @@ ? )</td>
1306 <td class="nnns top capitalize italic red">
1309 <td class="nnns top italic red">
1312 <td class="snns top red">term</td>
1313 <td class="snnn top red">term_weight ( ♯{?} )</td>
1314 <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
1315 <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
1318 <td class="nnns top capitalize italic red">
1321 <td class="nnns top italic red">
1324 <td class="snns top red">item</td>
1325 <td class="snnn top red">
1328 <td class="snnn top red">
1331 <td class="ssnn top red">
1336 <td class="nnss top capitalize italic red">
1339 <td class="snss top italic red">external syntax</td>
1340 <td class="snss top red">aarity</td>
1341 <td class="snsn top red">
1344 <td class="snsn top red">
1347 <td class="sssn top red">
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1380 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 15 Jan 2015 16:54:45 +0100</div>