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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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21     </div>
22     <div class="head1">The Formal System λδ (\lambda\delta)</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 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#notice">notice</a>
73             </td>
74             <td class="snss capitalize magenta">
75               <a href="http://lambdadelta.info/news.html#citations">citations</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
95
96    <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="milestones">Milestones <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b3.png" />
97     </div>
98
99    <ul xmlns:ld="http://lambdadelta.info/">
100       <li>
101         <span class="date">July 2014.</span>
102       A new version of this site is online.
103    </li>
104     </ul>
105
106    <ul xmlns:ld="http://lambdadelta.info/">
107       <li>
108         <span class="date">June 2014.</span>
109       <a href="http://lambdadelta.info/documentation.html#ldP8">First communication on λδ version 2.</a>
110    </li>
111     </ul>
112
113    <ul xmlns:ld="http://lambdadelta.info/">
114       <li>
115         <span class="date">December 2012.</span>
116       The character "_" is removed from the denomination "lambda_delta":
117       <ul>
118           <li>
119          The denomination "\lambda\delta" is used in λδ-related texts.
120       </li>
121           <li>
122          The denomination "lambdadelta" is used in λδ-related identifiers.
123       </li>
124           <li>
125          Permanent λδ URL acquired:
126          <a href="http://lambdadelta.info/">http://lambdadelta.info/</a>
127          (pointing at this site).
128       </li>
129         </ul>
130    </li>
131     </ul>
132
133    <ul xmlns:ld="http://lambdadelta.info/">
134       <li>
135         <span class="date">September 2011.</span>
136       The denomination "lambda-delta" changes to "lambda_delta":
137       <ul>
138           <li>
139          The character "-" is reserved in λδ textual syntax
140          (recognized by "Helena 0.8.1").            
141       </li>
142           <li>
143          Eventually, the occurrences of the character "-"
144          will be replaced by "_" in all λδ-related identifiers.
145       </li>
146           <li>
147          In particular, this refactoring involves file names and path names.
148       </li>
149         </ul>
150    </li>
151     </ul>
152
153    <ul xmlns:ld="http://lambdadelta.info/">
154       <li>
155         <span class="date">April 2011.</span>
156       The specification of <a href="http://lambdadelta.info/version_2.html">λδ version 2</a>
157       and related topics is restarted in
158       <a href="http://matita.cs.unibo.it/">Matita 0.5</a>.
159    </li>
160     </ul>
161
162    <ul xmlns:ld="http://lambdadelta.info/">
163       <li>
164         <span class="date">December 2010.</span>
165       Transient λδ URL acquired: http://lambda-delta.info/ (expires on December 2012). 
166    </li>
167     </ul>
168
169    <ul xmlns:ld="http://lambdadelta.info/">
170       <li>
171         <span class="date">November 2010.</span>
172       "Helena 0.8.1" is released. 
173    </li>
174     </ul>
175
176    <ul xmlns:ld="http://lambdadelta.info/">
177       <li>
178         <span class="date">September 2009.</span>
179       "Helena 0.8.0" is released and the
180       <a href="http://lambdadelta.info/implementation.html#lddl">λδ Digital Library</a>
181       is started.
182    </li>
183     </ul>
184
185    <ul xmlns:ld="http://lambdadelta.info/">
186       <li>
187         <span class="date">June 2009.</span>
188       "Helena", a <a href="http://lambdadelta.info/implementation.html#helena">validator for λδ version 2</a>,
189       is available as a part of the <a href="http://helm.cs.unibo.it/">HELM</a> software. 
190    </li>
191     </ul>
192
193    <ul xmlns:ld="http://lambdadelta.info/">
194       <li>
195         <span class="date">September 2008.</span>
196       This site is online.
197    </li>
198     </ul>
199
200    <ul xmlns:ld="http://lambdadelta.info/">
201       <li>
202         <span class="date">July 2008.</span>
203       <a href="http://lambdadelta.info/documentation.html#ldJ1">First journal paper on λδ</a>
204       accepted for publication.
205    </li>
206     </ul>
207
208    <ul xmlns:ld="http://lambdadelta.info/">
209       <li>
210         <span class="date">July 2008.</span>
211       First <a href="http://helm.cs.unibo.it/procedural/">procedural reconstruction</a>
212       for <a href="http://matita.cs.unibo.it/">Matita 0.5</a>
213       of the λδ version 1 for Coq 7.3.1.
214    </li>
215     </ul>
216
217    <ul xmlns:ld="http://lambdadelta.info/">
218       <li>
219         <span class="date">June 2008.</span>
220       The <a href="http://lambdadelta.info/version_1.html#static">
221          HTML pages of the specification of λδ version 1 for Matita 0.5</a>
222       are online.
223    </li>
224     </ul>
225
226    <ul xmlns:ld="http://lambdadelta.info/">
227       <li>
228         <span class="date">May 2008.</span>
229       The specification of λδ version 1 is dismissed.
230    </li>
231     </ul>
232
233    <ul xmlns:ld="http://lambdadelta.info/">
234       <li>
235         <span class="date">March 2008.</span>
236       The specification of λδ version 2 is started with Coq 7.3.1 (false start).
237    </li>
238     </ul>
239
240    <ul xmlns:ld="http://lambdadelta.info/">
241       <li>
242         <span class="date">September 2007.</span>
243       The <a href="http://lambdadelta.info/version_1.html#dynamic">
244          specification of λδ version 1 for Matita 0.4</a>
245       is online.
246    </li>
247     </ul>
248
249    <ul xmlns:ld="http://lambdadelta.info/">
250       <li>
251         <span class="date">November 2006.</span>
252       <a href="http://lambdadelta.info/documentation.html#ldR2">λδ version 1</a>
253       is released.
254    </li>
255     </ul>
256
257    <ul xmlns:ld="http://lambdadelta.info/">
258       <li>
259         <span class="date">December 2005.</span>
260       <a href="http://lambdadelta.info/documentation.html#ldP1">First communication on λδ version 1</a>.
261    </li>
262     </ul>
263
264    <ul xmlns:ld="http://lambdadelta.info/">
265       <li>
266         <span class="date">May 2004.</span>
267       The specification of <a href="http://lambdadelta.info/version_1.html">λδ version 1</a>
268       is started with Coq 7.3.1.
269    </li>
270     </ul>
271
272
273
274    <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="citations">Citations <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b3.png" />
275     </div>
276    <div xmlns:ld="http://lambdadelta.info/" class="text">
277       This is a list of publications citing λδ (not including our own).
278    </div>
279
280    <ul xmlns:ld="http://lambdadelta.info/" id="C6">
281       <li>
282       A. Asperti, W. Ricciotti, C. Sacerdoti Coen, E. Tassi:
283       <span class="date">Formal metatheory of programming languages in the Matita interactive theorem prover</span>
284       (2012). In JAR 49(3), pp. 427-451.
285    </li>
286     </ul>
287
288    <ul xmlns:ld="http://lambdadelta.info/" id="C5">
289       <li>
290       M.E. Maietti:
291       <span class="date">Consistency of the minimalist foundation with Church thesis and Bar Induction</span>
292       (2012). Submitted article.
293    </li>
294     </ul>
295
296    <ul xmlns:ld="http://lambdadelta.info/" id="C4">
297       <li>
298       W. Ricciotti:
299       <span class="date">Theoretical and implementation aspects in the mechanization of the metatheory of programming languages</span>
300       (July 2011). Ph.D. Thesis in Computer Science, Technical Report UBLCS-2011-09, University of Bologna.
301    </li>
302     </ul>
303
304    <ul xmlns:ld="http://lambdadelta.info/" id="C3">
305       <li>
306       C.E. Brown:
307       <span class="date">Faithful Reproductions of the Automath Landau Formalization</span>
308       (2011). Typescript note.
309    </li>
310     </ul>
311
312    <ul xmlns:ld="http://lambdadelta.info/" id="C2">
313       <li>
314       M.E. Maietti:
315       <span class="date">A minimalist two-level foundation for constructive mathematics</span>
316       (2009). In APAL 160(3), pp. 319-354.
317    </li>
318     </ul>
319
320    <ul xmlns:ld="http://lambdadelta.info/" id="C1">
321       <li>
322       V. Rahili: 
323       <span class="date">First Year Report: Realisability methods of proof and semantics with application to expansion</span>
324       (July 2007). Typescript note.
325    </li>
326     </ul>
327
328
329
330    <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="visibility">Visibility <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b3.png" />
331     </div>
332
333    <ul xmlns:ld="http://lambdadelta.info/">
334       <li>
335         <span class="date">June 2014.</span>
336       The <a href="http://www.google.com/">Google</a>
337       search for "formal system lambda delta" gives
338       5 resources about λδ in the first 6 results.
339    </li>
340     </ul>
341
342    <ul xmlns:ld="http://lambdadelta.info/">
343       <li>
344         <span class="date">June 2014.</span>
345       The <a href="http://www.yahoo.com/">Yahoo</a>
346       search for "formal system lambda delta" gives
347       4 resources about λδ in the first 5 results.
348    </li>
349     </ul>
350
351    <div class="spacer">
352       <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
353     </div>
354     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
355       <br />
356     </div>
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364       <a href="http://www.w3.org/XML/">
365         <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
366       </a>
367       <a href="http://www.w3.org/Graphics/PNG/">
368         <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
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370       <a href="http://www.anybrowser.org/campaign/">
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372       </a>
373     </div>
374     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
375       <br />
376     </div>
377     <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 22 Oct 2014 20:00:28 +0200</div>
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