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8     <meta name="author" content="Ferruccio Guidi" />
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21     </div>
22     <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
23     <div class="spacer">
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27       <br />
28     </div>
29     <div xmlns:ld="http://lambdadelta.info/" class="text">
30       <table cellpadding="4" cellspacing="0">
31         <tbody>
32           <tr>
33             <td class="snns capitalize italic sky">
34               <a href="http://lambdadelta.info/index.html">home</a>
35             </td>
36             <td class="snns capitalize italic magenta">
37               <a href="http://lambdadelta.info/news.html">news</a>
38             </td>
39             <td class="snns capitalize italic white">
40               <a href="http://lambdadelta.info/specification.html">specification</a>
41             </td>
42             <td class="snnn capitalize italic white">
43               <br />
44             </td>
45             <td class="snnn capitalize italic white">
46               <br />
47             </td>
48             <td class="snns capitalize italic orange">
49               <a href="http://lambdadelta.info/documentation.html">documentation</a>
50             </td>
51             <td class="snns capitalize italic green">
52               <a href="http://lambdadelta.info/implementation.html">implementation</a>
53             </td>
54             <td class="ssnn capitalize italic green">
55               <br />
56             </td>
57           </tr>
58           <tr>
59             <td class="snns capitalize sky">
60               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
61             </td>
62             <td class="snns capitalize magenta">
63               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
64             </td>
65             <td class="snns capitalize white">
66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
67             </td>
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">
70               <br />
71             </td>
72             <td class="snns capitalize orange">
73               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
74             </td>
75             <td class="snns capitalize green">
76               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
77             </td>
78             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
79           </tr>
80           <tr>
81             <td class="snss capitalize sky">
82               <a href="http://lambdadelta.info/index.html#citations">citations</a>
83             </td>
84             <td class="snss capitalize magenta">
85               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
86             </td>
87             <td class="snss capitalize white">
88               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
89             </td>
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>
94             </td>
95             <td class="snss capitalize green">
96               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
97             </td>
98             <td class="sssn capitalize green">
99               <br />
100             </td>
101           </tr>
102         </tbody>
103       </table>
104     </div>
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" />
106     </div>
107     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
108          and its timeline.
109    </div>
110     <div xmlns:ld="http://lambdadelta.info/" class="text">
111       <table cellpadding="4" cellspacing="0">
112         <tbody>
113           <tr>
114             <td class="snns capitalize italic gray">category</td>
115             <td class="snns italic gray">objects</td>
116             <td class="snnn right italic gray">
117               <br />
118             </td>
119             <td class="snnn italic gray">
120               <br />
121             </td>
122             <td class="snnn right italic gray">
123               <br />
124             </td>
125             <td class="snnn italic gray">
126               <br />
127             </td>
128             <td class="ssnn right italic gray">
129               <br />
130             </td>
131           </tr>
132           <tr>
133             <td class="snns capitalize italic cyan">sizes</td>
134             <td class="snns italic cyan">files</td>
135             <td class="snnn right italic cyan">39</td>
136             <td class="snns italic cyan">characters</td>
137             <td class="snnn right italic cyan">59130</td>
138             <td class="snns italic cyan">nodes</td>
139             <td class="ssnn right italic cyan">107813</td>
140           </tr>
141           <tr>
142             <td class="snns capitalize italic green">propositions</td>
143             <td class="snns italic green">theorems</td>
144             <td class="snnn right italic green">9</td>
145             <td class="snns italic green">lemmas</td>
146             <td class="snnn right italic green">238</td>
147             <td class="snns italic green">total</td>
148             <td class="ssnn right italic green">247</td>
149           </tr>
150           <tr>
151             <td class="snss capitalize italic yellow">concepts</td>
152             <td class="snss italic yellow">declared</td>
153             <td class="snsn right italic yellow">45</td>
154             <td class="snss italic yellow">defined</td>
155             <td class="snsn right italic yellow">28</td>
156             <td class="snss italic yellow">total</td>
157             <td class="sssn right italic yellow">73</td>
158           </tr>
159         </tbody>
160       </table>
161     </div>
162     <ul xmlns:ld="http://lambdadelta.info/">
163       <li>
164         <span class="emph alpha">2015 October 11.</span>
165          Multiple relocation with lists of booleans.
166    </li>
167     </ul>
168     <ul xmlns:ld="http://lambdadelta.info/">
169       <li>
170         <span class="emph alpha">2013 November 27.</span>
171          Natural numbers with infinity.
172    </li>
173     </ul>
174     <ul xmlns:ld="http://lambdadelta.info/">
175       <li>
176         <span class="emph alpha">2011 August 10.</span>
177          Specification starts.
178    </li>
179     </ul>
180     <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" />
181     </div>
182     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
183    </div>
184     <div xmlns:ld="http://lambdadelta.info/" class="text">
185       <table cellpadding="4" cellspacing="0">
186         <tbody>
187           <tr>
188             <td class="snns top capitalize italic gray">component</td>
189             <td class="snns top italic gray">plane</td>
190             <td class="snns top gray">files</td>
191             <td class="snnn top gray">
192               <br />
193             </td>
194             <td class="snnn top gray">
195               <br />
196             </td>
197             <td class="snnn top gray">
198               <br />
199             </td>
200             <td class="snnn top gray">
201               <br />
202             </td>
203             <td class="ssnn top gray">
204               <br />
205             </td>
206           </tr>
207           <tr>
208             <td class="snns top capitalize italic green">multiple relocation</td>
209             <td class="snns top italic green" />
210             <td class="snns top green">trace</td>
211             <td class="snnn top green">trace_at ( @⦃?,?⦄ ≡ ? )</td>
212             <td class="snnn top green">trace_after ( ? ⊚ ? ≡ ? )</td>
213             <td class="snnn top green">trace_sor ( ? ⋓ ? ≡ ? )</td>
214             <td class="snnn top green">
215               <br />
216             </td>
217             <td class="ssnn top green">
218               <br />
219             </td>
220           </tr>
221           <tr>
222             <td class="nnns top capitalize italic green">
223               <br />
224             </td>
225             <td class="nnns top italic green">
226               <br />
227             </td>
228             <td class="snns top green">mr2</td>
229             <td class="snnn top green">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
230             <td class="snnn top green">mr2_plus ( ? + ? )</td>
231             <td class="snnn top green">mr2_minus ( ? ▭ ? ≡ ? )</td>
232             <td class="snnn top green">
233               <br />
234             </td>
235             <td class="ssnn top green">
236               <br />
237             </td>
238           </tr>
239           <tr>
240             <td class="snns top capitalize italic grass">natural numbers with infinity</td>
241             <td class="snns top italic grass" />
242             <td class="snns top grass">ynat ( ∞ )</td>
243             <td class="snnn top grass">ynat_pred ( ⫰? )</td>
244             <td class="snnn top grass">ynat_succ ( ⫯? )</td>
245             <td class="snnn top grass">ynat_le ( ? ≤ ? )</td>
246             <td class="snnn top grass">ynat_lt ( ? &lt; ? )</td>
247             <td class="ssnn top grass">ynat_plus ( ? + ? )</td>
248           </tr>
249           <tr>
250             <td class="snns top capitalize italic yellow">extensions to the library</td>
251             <td class="snns top italic yellow" />
252             <td class="snns top yellow">star</td>
253             <td class="snnn top yellow">lstar</td>
254             <td class="snnn top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
255             <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? )</td>
256             <td class="snnn top yellow">list ( ◊ ) ( ? @ ? ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
257             <td class="ssnn top yellow">
258               <br />
259             </td>
260           </tr>
261           <tr>
262             <td class="snns top capitalize italic orange">generated logical decomposables</td>
263             <td class="snns top italic orange" />
264             <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
265             <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
266             <td class="snnn top orange">
267               <br />
268             </td>
269             <td class="snnn top orange">
270               <br />
271             </td>
272             <td class="snnn top orange">
273               <br />
274             </td>
275             <td class="ssnn top orange">
276               <br />
277             </td>
278           </tr>
279           <tr>
280             <td class="snss top capitalize italic red" />
281             <td class="snss top italic red" />
282             <td class="snss top red">
283               <br />
284             </td>
285             <td class="snsn top red">
286               <br />
287             </td>
288             <td class="snsn top red">
289               <br />
290             </td>
291             <td class="snsn top red">
292               <br />
293             </td>
294             <td class="snsn top red">
295               <br />
296             </td>
297             <td class="sssn top red">
298               <br />
299             </td>
300           </tr>
301         </tbody>
302       </table>
303     </div>
304     <div class="spacer">
305       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
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328       <br />
329     </div>
330     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 11 Oct 2015 17:42:24 +0200</div>
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