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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>
11     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
12     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
13     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
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15   </head>
16   <body lang="en-US">
17     <div class="spacer">
18       <a href="http://lambdadelta.info/">
19         <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
20       </a>
21     </div>
22     <div class="head1">cic:/matita/lambdadelta/ground_2/ (background for λδ version 2)</div>
23     <div class="spacer">
24       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
25     </div>
26     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
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 orange">
40               <a href="http://lambdadelta.info/documentation.html">documentation</a>
41             </td>
42             <td class="snns capitalize italic green">
43               <a href="http://lambdadelta.info/specification.html">specification</a>
44             </td>
45             <td class="snnn capitalize italic green">
46               <br />
47             </td>
48             <td class="snns capitalize italic green">
49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
50             </td>
51             <td class="ssnn capitalize italic green">
52               <br />
53             </td>
54           </tr>
55           <tr>
56             <td class="snns capitalize sky">
57               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
58             </td>
59             <td class="snns capitalize magenta">
60               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
61             </td>
62             <td class="snns capitalize orange">
63               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
64             </td>
65             <td class="snns capitalize green">
66               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
67             </td>
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>
71             </td>
72             <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
73           </tr>
74           <tr>
75             <td class="snss capitalize sky">
76               <a href="http://lambdadelta.info/index.html#citations">citations</a>
77             </td>
78             <td class="snss capitalize magenta">
79               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
80             </td>
81             <td class="snss capitalize orange">
82               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
83             </td>
84             <td class="snss capitalize green">
85               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
86             </td>
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>
90             </td>
91             <td class="sssn capitalize green">
92               <br />
93             </td>
94           </tr>
95         </tbody>
96       </table>
97     </div>
98     <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" />
99     </div>
100     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
101          and its timeline.
102    </div>
103     <div xmlns:ld="http://lambdadelta.info/" class="text">
104       <table cellpadding="4" cellspacing="0">
105         <tbody>
106           <tr>
107             <td class="snns capitalize italic gray">category</td>
108             <td class="snns italic gray">objects</td>
109             <td class="snnn right italic gray">
110               <br />
111             </td>
112             <td class="snnn italic gray">
113               <br />
114             </td>
115             <td class="snnn right italic gray">
116               <br />
117             </td>
118             <td class="snnn italic gray">
119               <br />
120             </td>
121             <td class="ssnn right italic gray">
122               <br />
123             </td>
124           </tr>
125           <tr>
126             <td class="snns capitalize italic cyan">sizes</td>
127             <td class="snns italic cyan">files</td>
128             <td class="snnn right italic cyan">30</td>
129             <td class="snns italic cyan">characters</td>
130             <td class="snnn right italic cyan">46649</td>
131             <td class="snns italic cyan">nodes</td>
132             <td class="ssnn right italic cyan">62380</td>
133           </tr>
134           <tr>
135             <td class="snns capitalize italic green">propositions</td>
136             <td class="snns italic green">theorems</td>
137             <td class="snnn right italic green">2</td>
138             <td class="snns italic green">lemmas</td>
139             <td class="snnn right italic green">187</td>
140             <td class="snns italic green">total</td>
141             <td class="ssnn right italic green">189</td>
142           </tr>
143           <tr>
144             <td class="snss capitalize italic yellow">concepts</td>
145             <td class="snss italic yellow">declared</td>
146             <td class="snsn right italic yellow">40</td>
147             <td class="snss italic yellow">defined</td>
148             <td class="snsn right italic yellow">25</td>
149             <td class="snss italic yellow">total</td>
150             <td class="sssn right italic yellow">65</td>
151           </tr>
152         </tbody>
153       </table>
154     </div>
155     <ul xmlns:ld="http://lambdadelta.info/">
156       <li>
157         <span class="emph alpha">2013 November 27.</span>
158          Natural numbers with infinity.
159    </li>
160     </ul>
161     <ul xmlns:ld="http://lambdadelta.info/">
162       <li>
163         <span class="emph alpha">2011 August 10.</span>
164          Specification starts.
165    </li>
166     </ul>
167     <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" />
168     </div>
169     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
170    </div>
171     <div xmlns:ld="http://lambdadelta.info/" class="text">
172       <table cellpadding="4" cellspacing="0">
173         <tbody>
174           <tr>
175             <td class="snns top capitalize italic gray">component</td>
176             <td class="snns top italic gray">plane</td>
177             <td class="snns top gray">files</td>
178             <td class="snnn top gray">
179               <br />
180             </td>
181             <td class="snnn top gray">
182               <br />
183             </td>
184             <td class="snnn top gray">
185               <br />
186             </td>
187             <td class="snnn top gray">
188               <br />
189             </td>
190             <td class="snnn top gray">
191               <br />
192             </td>
193             <td class="snnn top gray">
194               <br />
195             </td>
196             <td class="snnn top gray">
197               <br />
198             </td>
199             <td class="ssnn top gray">
200               <br />
201             </td>
202           </tr>
203           <tr>
204             <td class="snns top capitalize italic yellow">natural numbers with infinity</td>
205             <td class="snns top italic yellow" />
206             <td class="snns top yellow">ynat ( ∞ )</td>
207             <td class="snnn top yellow">ynat_pred ( ⫰? )</td>
208             <td class="snnn top yellow">ynat_succ ( ⫯? )</td>
209             <td class="snnn top yellow">ynat_le ( ? ≤ ? )</td>
210             <td class="snnn top yellow">ynat_lt ( ? &lt; ? )</td>
211             <td class="snnn top yellow">ynat_minus ( ? - ? )</td>
212             <td class="snnn top yellow">ynat_plus ( ? + ? )</td>
213             <td class="snnn top yellow">ynat_max</td>
214             <td class="ssnn top yellow">ynat_min</td>
215           </tr>
216           <tr>
217             <td class="snns top capitalize italic orange">extensions to the library</td>
218             <td class="snns top italic orange" />
219             <td class="snns top orange">star</td>
220             <td class="snnn top orange">lstar</td>
221             <td class="snnn top orange">bool ( Ⓕ ) ( Ⓣ )</td>
222             <td class="snnn top orange">arith ( ?^? )</td>
223             <td class="snnn top orange">list ( ◊ ) ( ? @ ? ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
224             <td class="snnn top orange">
225               <br />
226             </td>
227             <td class="snnn top orange">
228               <br />
229             </td>
230             <td class="snnn top orange">
231               <br />
232             </td>
233             <td class="ssnn top orange">
234               <br />
235             </td>
236           </tr>
237           <tr>
238             <td class="snss top capitalize italic red">generated logical decomposables</td>
239             <td class="snss top italic red" />
240             <td class="snss top red">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
241             <td class="snsn top red">xoa_props ( ⊥ ) ( ⊤ )</td>
242             <td class="snsn top red">
243               <br />
244             </td>
245             <td class="snsn top red">
246               <br />
247             </td>
248             <td class="snsn top red">
249               <br />
250             </td>
251             <td class="snsn top red">
252               <br />
253             </td>
254             <td class="snsn top red">
255               <br />
256             </td>
257             <td class="snsn top red">
258               <br />
259             </td>
260             <td class="sssn top red">
261               <br />
262             </td>
263           </tr>
264         </tbody>
265       </table>
266     </div>
267     <div class="spacer">
268       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
269     </div>
270     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
271       <br />
272     </div>
273     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
274       <a href="http://validator.w3.org/check?uri=referer">
275         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
276       </a>
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282       </a>
283       <a href="http://www.w3.org/Graphics/PNG/">
284         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
285       </a>
286       <a href="http://www.anybrowser.org/campaign/">
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288       </a>
289     </div>
290     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
291       <br />
292     </div>
293     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 05 Jan 2015 00:32:03 +0100</div>
294   </body>
295 </html>