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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" />
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17     <div class="spacer">
18       <a href="http://lambdadelta.info/">
19         <img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta home" src="http://lambdadelta.info/images/crux_32.png" />
20       </a>
21     </div>
22     <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
23     <div class="spacer">
24       <img class="rule" alt="[Spacer]" title="\lambda\delta 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/home.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/home.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#helena">helena</a>
77             </td>
78             <td class="ssnn capitalize green">
79               <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
80             </td>
81           </tr>
82           <tr>
83             <td class="snss capitalize sky">
84               <a href="http://lambdadelta.info/home.html#citations">citations</a>
85             </td>
86             <td class="snss capitalize magenta">
87               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
88             </td>
89             <td class="snss capitalize white">
90               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
91             </td>
92             <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>
93             <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
94             <td class="snss capitalize orange">
95               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
96             </td>
97             <td class="snss capitalize green">
98               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
99             </td>
100             <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
101           </tr>
102         </tbody>
103       </table>
104     </div>
105     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
106     </div>
107     <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
108          applications of λδ version 2.
109          In particular it contains the components below.
110    </div>
111     <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
112       <li>
113         <span class="emph alpha">MLTT1.</span>
114       Martin-Löf's Type Theory with one universe
115       using λδ as theory of expressions.
116    </li>
117     </ul>
118     <ul xmlns:ld="http://lambdadelta.info/" id="functional">
119       <li>
120         <span class="emph alpha">Functional.</span>
121       The validation algorithm for λδ as implemented in
122       <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
123    </li>
124     </ul>
125     <ul xmlns:ld="http://lambdadelta.info/" id="examples">
126       <li>
127         <span class="emph alpha">Examples.</span>
128       Terms of λδ with special features.
129    </li>
130     </ul>
131     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
132     </div>
133     <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
134          and its timeline.
135    </div>
136     <div xmlns:ld="http://lambdadelta.info/" class="text">
137       <table cellpadding="4" cellspacing="0">
138         <tbody>
139           <tr>
140             <td class="snns capitalize italic gray">category</td>
141             <td class="snns italic gray">units</td>
142             <td class="snnn right italic gray">
143               <br />
144             </td>
145             <td class="snnn italic gray">
146               <br />
147             </td>
148             <td class="snnn right italic gray">
149               <br />
150             </td>
151             <td class="snnn italic gray">
152               <br />
153             </td>
154             <td class="ssnn right italic gray">
155               <br />
156             </td>
157           </tr>
158           <tr>
159             <td class="snns capitalize italic water">sizes</td>
160             <td class="snns italic water">characters (files)</td>
161             <td class="snnn right italic water">377 (1)</td>
162             <td class="snns italic water">nodes (objects)</td>
163             <td class="snnn right italic water">779 (6)</td>
164             <td class="snns italic water">intrinsic loss factor</td>
165             <td class="ssnn right italic water">2.1</td>
166           </tr>
167           <tr>
168             <td class="snns capitalize italic green">propositions</td>
169             <td class="snns italic green">theorems</td>
170             <td class="snnn right italic green">2</td>
171             <td class="snns italic green">lemmas</td>
172             <td class="snnn right italic green">1</td>
173             <td class="snns italic green">total</td>
174             <td class="ssnn right italic green">3</td>
175           </tr>
176           <tr>
177             <td class="snss capitalize italic grass">concepts</td>
178             <td class="snss italic grass">declared</td>
179             <td class="snsn right italic grass">0</td>
180             <td class="snss italic grass">defined</td>
181             <td class="snsn right italic grass">3</td>
182             <td class="snss italic grass">total</td>
183             <td class="sssn right italic grass">3</td>
184           </tr>
185         </tbody>
186       </table>
187     </div>
188     <ul xmlns:ld="http://lambdadelta.info/">
189       <li>
190         <span class="emph alpha">2017 March 6.</span>
191          The Examples component is moved from the Core directory.
192    </li>
193     </ul>
194     <ul xmlns:ld="http://lambdadelta.info/">
195       <li>
196         <span class="emph alpha">2012 February 24.</span>
197          The Applications directory is started.
198    </li>
199     </ul>
200     <ul xmlns:ld="http://lambdadelta.info/">
201       <li>
202         <span class="emph alpha">2011 December 20.</span>
203          The Functional component is started
204          inside the specification of λδ version 2.
205    </li>
206     </ul>
207     <ul xmlns:ld="http://lambdadelta.info/">
208       <li>
209         <span class="emph alpha">2011 December 12.</span>
210          The MLTT1 component is started.
211    </li>
212     </ul>
213     <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" />
214     </div>
215     <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
216    </div>
217     <div xmlns:ld="http://lambdadelta.info/" class="text">
218       <table cellpadding="4" cellspacing="0">
219         <tbody>
220           <tr>
221             <td class="snns top capitalize italic gray">component</td>
222             <td class="snns top italic gray">plane</td>
223             <td class="ssns top gray">files</td>
224           </tr>
225           <tr>
226             <td class="snss top capitalize italic red">examples</td>
227             <td class="snss top italic red">terms with special features</td>
228             <td class="ssss top red">ex_cpr_omega</td>
229           </tr>
230         </tbody>
231       </table>
232     </div>
233     <div class="spacer">
234       <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
235     </div>
236     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
237       <br />
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254       </a>
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256     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
257       <br />
258     </div>
259     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 24 Nov 2017 21:00:01 +0100</div>
260   </body>
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