]> matita.cs.unibo.it Git - helm.git/blob - helm/www/lambdadelta/ground_2.html
- ld.dtd updated
[helm.git] / helm / www / lambdadelta / ground_2.html
1 <?xml version="1.0" encoding="UTF-8"?>
2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
3 <html xmlns="http://www.w3.org/1999/xhtml" dir="ltr" lang="en-us">
4   <head>
5     <meta http-equiv="Content-Language" content="en-us" />
6     <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
7     <meta http-equiv="Content-Style-Type" content="text/css" />
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" />
14     <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
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="ssns capitalize italic green">
49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
50             </td>
51           </tr>
52           <tr>
53             <td class="snns capitalize sky">
54               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
55             </td>
56             <td class="snns capitalize magenta">
57               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
58             </td>
59             <td class="snns capitalize orange">
60               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
61             </td>
62             <td class="snns capitalize green">
63               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
64             </td>
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>
68             </td>
69           </tr>
70           <tr>
71             <td class="snss capitalize sky">
72               <a href="http://lambdadelta.info/index.html#citations">citations</a>
73             </td>
74             <td class="snss capitalize magenta">
75               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
76             </td>
77             <td class="snss capitalize orange">
78               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
79             </td>
80             <td class="snss capitalize green">
81               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
82             </td>
83             <td class="snsn capitalize green">
84               <br />
85             </td>
86             <td class="ssss capitalize green">
87               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
88             </td>
89           </tr>
90         </tbody>
91       </table>
92     </div>
93
94    <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" />
95     </div>
96    <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
97          and its timeline.
98    </div>
99    <div xmlns:ld="http://lambdadelta.info/" class="text">
100       <table cellpadding="4" cellspacing="0">
101         <tbody>
102           <tr>
103             <td class="snns capitalize italic gray">category</td>
104             <td class="snns italic gray">objects</td>
105             <td class="snnn right italic gray">
106               <br />
107             </td>
108             <td class="snnn italic gray">
109               <br />
110             </td>
111             <td class="snnn right italic gray">
112               <br />
113             </td>
114             <td class="snnn italic gray">
115               <br />
116             </td>
117             <td class="ssnn right italic gray">
118               <br />
119             </td>
120           </tr>
121           <tr>
122             <td class="snns capitalize italic cyan">sizes</td>
123             <td class="snns italic cyan">files</td>
124             <td class="snnn right italic cyan">30</td>
125             <td class="snns italic cyan">characters</td>
126             <td class="snnn right italic cyan">68581</td>
127             <td class="snns italic cyan">nodes</td>
128             <td class="ssnn right italic cyan">62380</td>
129           </tr>
130           <tr>
131             <td class="snns capitalize italic green">propositions</td>
132             <td class="snns italic green">theorems</td>
133             <td class="snnn right italic green">2</td>
134             <td class="snns italic green">lemmas</td>
135             <td class="snnn right italic green">187</td>
136             <td class="snns italic green">total</td>
137             <td class="ssnn right italic green">189</td>
138           </tr>
139           <tr>
140             <td class="snss capitalize italic yellow">concepts</td>
141             <td class="snss italic yellow">declared</td>
142             <td class="snsn right italic yellow">40</td>
143             <td class="snss italic yellow">defined</td>
144             <td class="snsn right italic yellow">25</td>
145             <td class="snss italic yellow">total</td>
146             <td class="sssn right italic yellow">65</td>
147           </tr>
148         </tbody>
149       </table>
150     </div>
151    <ul xmlns:ld="http://lambdadelta.info/">
152       <li>
153         <span class="emph alpha">2013 November 27.</span>
154          Natural numbers with infinity.
155    </li>
156     </ul>
157    <ul xmlns:ld="http://lambdadelta.info/">
158       <li>
159         <span class="emph alpha">2011 August 10.</span>
160          Specification starts.
161    </li>
162     </ul>
163
164    <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" />
165     </div>
166    <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
167    </div>
168    <div xmlns:ld="http://lambdadelta.info/" class="text">
169       <table cellpadding="4" cellspacing="0">
170         <tbody>
171           <tr>
172             <td class="snns top capitalize italic gray">component</td>
173             <td class="snns top italic gray">plane</td>
174             <td class="snns top gray">files</td>
175             <td class="snnn top gray">
176               <br />
177             </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="ssnn top gray">
197               <br />
198             </td>
199           </tr>
200           <tr>
201             <td class="snns top capitalize italic yellow">natural numbers with infinity</td>
202             <td class="snns top italic yellow" />
203             <td class="snns top yellow">ynat ( ∞ )</td>
204             <td class="snnn top yellow">ynat_pred ( ⫰? )</td>
205             <td class="snnn top yellow">ynat_succ ( ⫯? )</td>
206             <td class="snnn top yellow">ynat_le ( ? ≤ ? )</td>
207             <td class="snnn top yellow">ynat_lt ( ? &lt; ? )</td>
208             <td class="snnn top yellow">ynat_minus ( ? - ? )</td>
209             <td class="snnn top yellow">ynat_plus ( ? + ? )</td>
210             <td class="snnn top yellow">ynat_max</td>
211             <td class="ssnn top yellow">ynat_min</td>
212           </tr>
213           <tr>
214             <td class="snns top capitalize italic orange">extensions to the library</td>
215             <td class="snns top italic orange" />
216             <td class="snns top orange">star</td>
217             <td class="snnn top orange">lstar</td>
218             <td class="snnn top orange">bool ( Ⓕ ) ( Ⓣ )</td>
219             <td class="snnn top orange">arith ( ?^? )</td>
220             <td class="snnn top orange">list ( ◊ ) ( ? @ ? ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
221             <td class="snnn top orange">
222               <br />
223             </td>
224             <td class="snnn top orange">
225               <br />
226             </td>
227             <td class="snnn top orange">
228               <br />
229             </td>
230             <td class="ssnn top orange">
231               <br />
232             </td>
233           </tr>
234           <tr>
235             <td class="snss top capitalize italic red">generated logical decomposables</td>
236             <td class="snss top italic red" />
237             <td class="snss top red">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
238             <td class="snsn top red">xoa_props ( ⊥ ) ( ⊤ )</td>
239             <td class="snsn top red">
240               <br />
241             </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="sssn top red">
258               <br />
259             </td>
260           </tr>
261         </tbody>
262       </table>
263     </div>
264
265    <div class="spacer">
266       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
267     </div>
268     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
269       <br />
270     </div>
271     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
272       <a href="http://validator.w3.org/check?uri=referer">
273         <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
274       </a>
275       <a href="http://jigsaw.w3.org/css-validator/check/referer">
276         <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
277       </a>
278       <a href="http://www.w3.org/XML/">
279         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
280       </a>
281       <a href="http://www.w3.org/Graphics/PNG/">
282         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
283       </a>
284       <a href="http://www.anybrowser.org/campaign/">
285         <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
286       </a>
287     </div>
288     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
289       <br />
290     </div>
291     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 04 Nov 2014 16:28:52 +0100</div>
292 </body>
293 </html>