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8 <meta name="author" content="Ferruccio Guidi" />
9 <meta name="description" content="\lambda\delta home page" />
10 <title>\lambda\delta home page</title>
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18 <a href="http://lambdadelta.info/">
19 <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
22 <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
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26 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
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>
39 <td class="snns capitalize italic white">
40 <a href="http://lambdadelta.info/specification.html">specification</a>
42 <td class="snnn capitalize italic white">
45 <td class="snnn capitalize italic white">
48 <td class="snns capitalize italic orange">
49 <a href="http://lambdadelta.info/documentation.html">documentation</a>
51 <td class="snns capitalize italic green">
52 <a href="http://lambdadelta.info/implementation.html">implementation</a>
54 <td class="ssnn capitalize italic green">
59 <td class="snns capitalize sky">
60 <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
62 <td class="snns capitalize magenta">
63 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
65 <td class="snns capitalize white">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <td class="snnn capitalize white">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
69 <td class="snnn capitalize white">
72 <td class="snns capitalize orange">
73 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
75 <td class="snns capitalize green">
76 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
78 <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
81 <td class="snss capitalize sky">
82 <a href="http://lambdadelta.info/index.html#citations">citations</a>
84 <td class="snss capitalize magenta">
85 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
87 <td class="snss capitalize white">
88 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
90 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
91 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
92 <td class="snss capitalize orange">
93 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
95 <td class="snss capitalize green">
96 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
98 <td class="sssn capitalize green">
105 <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" />
107 <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
110 <div xmlns:ld="http://lambdadelta.info/" class="text">
111 <table cellpadding="4" cellspacing="0">
114 <td class="snns capitalize italic gray">category</td>
115 <td class="snns italic gray">objects</td>
116 <td class="snnn right italic gray">
119 <td class="snnn italic gray">
122 <td class="snnn right italic gray">
125 <td class="snnn italic gray">
128 <td class="ssnn right italic gray">
133 <td class="snns capitalize italic cyan">sizes</td>
134 <td class="snns italic cyan">files</td>
135 <td class="snnn right italic cyan">77</td>
136 <td class="snns italic cyan">characters</td>
137 <td class="snnn right italic cyan">93034</td>
138 <td class="snns italic cyan">nodes</td>
139 <td class="ssnn right italic cyan">195875</td>
142 <td class="snns capitalize italic green">propositions</td>
143 <td class="snns italic green">theorems</td>
144 <td class="snnn right italic green">14</td>
145 <td class="snns italic green">lemmas</td>
146 <td class="snnn right italic green">434</td>
147 <td class="snns italic green">total</td>
148 <td class="ssnn right italic green">448</td>
151 <td class="snss capitalize italic yellow">concepts</td>
152 <td class="snss italic yellow">declared</td>
153 <td class="snsn right italic yellow">44</td>
154 <td class="snss italic yellow">defined</td>
155 <td class="snsn right italic yellow">37</td>
156 <td class="snss italic yellow">total</td>
157 <td class="sssn right italic yellow">81</td>
162 <ul xmlns:ld="http://lambdadelta.info/">
164 <span class="emph alpha">2016 March 4.</span>
165 Platform-independent multiple relocation (rtmap).
168 <ul xmlns:ld="http://lambdadelta.info/">
170 <span class="emph alpha">2016 January 20.</span>
171 Multiple relocation with streams of naturals.
174 <ul xmlns:ld="http://lambdadelta.info/">
176 <span class="emph alpha">2015 October 11.</span>
177 Multiple relocation with lists of booleans.
180 <ul xmlns:ld="http://lambdadelta.info/">
182 <span class="emph alpha">2013 November 27.</span>
183 Natural numbers with infinity (ynat).
186 <ul xmlns:ld="http://lambdadelta.info/">
188 <span class="emph alpha">2011 August 10.</span>
189 Specification starts.
192 <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" />
194 <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
196 <div xmlns:ld="http://lambdadelta.info/" class="text">
197 <table cellpadding="4" cellspacing="0">
200 <td class="snns top capitalize italic gray">component</td>
201 <td class="snns top italic gray">plane</td>
202 <td class="snns top gray">files</td>
203 <td class="snnn top gray">
206 <td class="snnn top gray">
209 <td class="snnn top gray">
212 <td class="snnn top gray">
215 <td class="snnn top gray">
218 <td class="snnn top gray">
221 <td class="snnn top gray">
224 <td class="snnn top gray">
227 <td class="snnn top gray">
230 <td class="snnn top gray">
233 <td class="snnn top gray">
236 <td class="snnn top gray">
239 <td class="snnn top gray">
242 <td class="ssnn top gray">
247 <td class="snns top capitalize italic green">natural numbers with infinity</td>
248 <td class="snns top italic green" />
249 <td class="snns top green">ynat ( ∞ )</td>
250 <td class="snnn top green">ynat_pred ( ⫰? )</td>
251 <td class="snnn top green">ynat_succ ( ⫯? )</td>
252 <td class="snnn top green">ynat_le ( ? ≤ ? )</td>
253 <td class="snnn top green">ynat_lt ( ? < ? )</td>
254 <td class="snnn top green">ynat_plus ( ? + ? )</td>
255 <td class="snnn top green">
258 <td class="snnn top green">
261 <td class="snnn top green">
264 <td class="snnn top green">
267 <td class="snnn top green">
270 <td class="snnn top green">
273 <td class="snnn top green">
276 <td class="snnn top green">
279 <td class="ssnn top green">
284 <td class="snns top capitalize italic grass">multiple relocation</td>
285 <td class="snns top italic grass" />
286 <td class="snns top grass">rtmap</td>
287 <td class="snnn top grass">rtmap_eq ( ? ≗ ? )</td>
288 <td class="snnn top grass">rtmap_tl ( ⫱? )</td>
289 <td class="snnn top grass">rtmap_tls ( ⫱*[?]? )</td>
290 <td class="snnn top grass">rtmap_isid ( 𝐈⦃?⦄ )</td>
291 <td class="snnn top grass">rtmap_id</td>
292 <td class="snnn top grass">rtmap_fcla ( 𝐂⦃?⦄ ≡ ? )</td>
293 <td class="snnn top grass">rtmap_isfin ( 𝐅⦃?⦄ )</td>
294 <td class="snnn top grass">rtmap_isuni ( 𝐔⦃?⦄ )</td>
295 <td class="snnn top grass">rtmap_sle ( ? ⊆ ? )</td>
296 <td class="snnn top grass">rtmap_sand ( ? ⋒ ? ≡ ? )</td>
297 <td class="snnn top grass">rtmap_sor ( ? ⋓ ? ≡ ? )</td>
298 <td class="snnn top grass">rtmap_at ( @⦃?,?⦄ ≡ ? )</td>
299 <td class="snnn top grass">rtmap_istot ( 𝐓⦃?⦄ )</td>
300 <td class="ssnn top grass">rtmap_after ( ? ⊚ ? ≡ ? )</td>
303 <td class="nnns top capitalize italic grass">
306 <td class="nnns top italic grass">
309 <td class="snns top grass">nstream ( ↑? ) ( ⫯? )</td>
310 <td class="snnn top grass">nstream_eq</td>
311 <td class="snnn top grass" />
312 <td class="snnn top grass" />
313 <td class="snnn top grass">nstream_isid</td>
314 <td class="snnn top grass">nstream_id ( 𝐈𝐝 )</td>
315 <td class="snnn top grass" />
316 <td class="snnn top grass" />
317 <td class="snnn top grass" />
318 <td class="snnn top grass" />
319 <td class="snnn top grass">nstream_sand</td>
320 <td class="snnn top grass" />
321 <td class="snnn top grass" />
322 <td class="snnn top grass">nstream_istot ( ?@❴?❵ )</td>
323 <td class="ssnn top grass">nstream_after ( ? ∘ ? )</td>
326 <td class="nnns top capitalize italic grass">
329 <td class="nnns top italic grass">
332 <td class="snns top grass">mr2</td>
333 <td class="snnn top grass">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
334 <td class="snnn top grass">mr2_plus ( ? + ? )</td>
335 <td class="snnn top grass">mr2_minus ( ? ▭ ? ≡ ? )</td>
336 <td class="snnn top grass">
339 <td class="snnn top grass">
342 <td class="snnn top grass">
345 <td class="snnn top grass">
348 <td class="snnn top grass">
351 <td class="snnn top grass">
354 <td class="snnn top grass">
357 <td class="snnn top grass">
360 <td class="snnn top grass">
363 <td class="snnn top grass">
366 <td class="ssnn top grass">
371 <td class="snns top capitalize italic yellow">extensions to the library</td>
372 <td class="snns top italic yellow" />
373 <td class="snns top yellow">stream ( ? @ ? )</td>
374 <td class="snnn top yellow">stream_eq ( ? ≐ ? )</td>
375 <td class="snnn top yellow">stream_hdtl ( ↓? )</td>
376 <td class="snnn top yellow">stream_tls ( ↓*[?]? )</td>
377 <td class="snnn top yellow">
380 <td class="snnn top yellow">
383 <td class="snnn top yellow">
386 <td class="snnn top yellow">
389 <td class="snnn top yellow">
392 <td class="snnn top yellow">
395 <td class="snnn top yellow">
398 <td class="snnn top yellow">
401 <td class="snnn top yellow">
404 <td class="snnn top yellow">
407 <td class="ssnn top yellow">
412 <td class="nnns top capitalize italic yellow">
415 <td class="nnns top italic yellow">
418 <td class="snns top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td>
419 <td class="snnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
420 <td class="snnn top yellow">
423 <td class="snnn top yellow">
426 <td class="snnn top yellow">
429 <td class="snnn top yellow">
432 <td class="snnn top yellow">
435 <td class="snnn top yellow">
438 <td class="snnn top yellow">
441 <td class="snnn top yellow">
444 <td class="snnn top yellow">
447 <td class="snnn top yellow">
450 <td class="snnn top yellow">
453 <td class="snnn top yellow">
456 <td class="ssnn top yellow">
461 <td class="nnns top capitalize italic yellow">
464 <td class="nnns top italic yellow">
467 <td class="snns top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
468 <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? ) ( ? ∨ ? ) ( ? ∧ ? )</td>
469 <td class="snnn top yellow">
472 <td class="snnn top yellow">
475 <td class="snnn top yellow">
478 <td class="snnn top yellow">
481 <td class="snnn top yellow">
484 <td class="snnn top yellow">
487 <td class="snnn top yellow">
490 <td class="snnn top yellow">
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499 <td class="snnn top yellow">
502 <td class="snnn top yellow">
505 <td class="ssnn top yellow">
510 <td class="nnns top capitalize italic yellow">
513 <td class="nnns top italic yellow">
516 <td class="snns top yellow">star</td>
517 <td class="snnn top yellow">lstar</td>
518 <td class="snnn top yellow">
521 <td class="snnn top yellow">
524 <td class="snnn top yellow">
527 <td class="snnn top yellow">
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542 <td class="snnn top yellow">
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548 <td class="snnn top yellow">
551 <td class="snnn top yellow">
554 <td class="ssnn top yellow">
559 <td class="snns top capitalize italic orange">generated logical decomposables</td>
560 <td class="snns top italic orange" />
561 <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
562 <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
563 <td class="snnn top orange">
566 <td class="snnn top orange">
569 <td class="snnn top orange">
572 <td class="snnn top orange">
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648 <td class="sssn top red">
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681 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 21 Mar 2016 20:38:12 +0100</div>