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5   <title>λδ home page</title>
6   <meta content="Ferruccio Guidi" name="author">
7   <meta content="The formal system λδ" name="description">
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11 <div style="text-align: center;"> <br>
12 <a href="http://lambdadelta.info/"><img alt="[Crux Logo]"
13  title="The Crux" src="images/crux_32.png"
14  style="border: 0px solid ; width: 32px; height: 32px;"></a>
15 <h1>The Formal System λδ (\lambda\delta)<br>
16 </h1>
17 <h2>Towards the unification of terms, types, environments and contexts</h2>
18 <img style="width: 95%; height: 4px;" alt="[Separator]"
19  title="Separator" src="images/rainbow.png"><br>
20 <table
21  style="text-align: left; width: 95%; margin-left: auto; margin-right: auto;"
22  border="0" cellpadding="2" cellspacing="20">
23   <tbody>
24     <tr>
25       <td style="vertical-align: top;">
26       <ul>
27         <li><a href="index.html">Foreword</a></li>
28       </ul>
29       <ul>
30         <li>News</li>
31       </ul>
32       <ul>
33         <li><a href="documentation.html">Papers</a></li>
34       </ul>
35       <ul>
36         <li><a href="implementation.html">Resources</a><br>
37         </li>
38       </ul>
39       </td>
40       <td style="vertical-align: top; text-align: left;">
41       <h3 style="text-align: right;">News <img
42  style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
43  src="images/b5.png"></h3>
44       <ul>
45         <li><span style="font-weight: bold;">June 2014.</span> <a
46  href="documentation.html#ldt8">First communication on λδ version 2.</a><br>
47           <span style="font-weight: bold;"></span></li>
48       </ul>
49       <ul>
50         <li><span style="font-weight: bold;">December 2012.</span> The
51 character "_" is removed from the denomination "lambda_delta". </li>
52       </ul>
53       <ul>
54         <ul>
55           <li>The denomination "\lambda\delta" is used in λδ-related
56 texts.</li>
57           <li>The denomination "lambdadelta" is used in λδ-related
58 identifiers.</li>
59           <li>Permanent λδ URL acquired: <a
60  href="http://lambdadelta.info/">http://lambdadelta.info/</a>
61 (pointing at this site). </li>
62         </ul>
63       </ul>
64       <ul>
65         <li><span style="font-weight: bold;">September 2011.</span> The
66 denomination "lambda-delta" changes to "lambda_delta".
67           <ul>
68             <li>The character "-" is reserved in λδ textual syntax
69 (recognized by <span style="font-style: italic;">Helena 0.8.1</span>).
70             </li>
71             <li>Eventually, the occurrences of the character "-" will
72 be replaced by "_" in all λδ-related identifiers.</li>
73             <li>In particular, this refactoring involves file names and
74 path names.</li>
75           </ul>
76         </li>
77       </ul>
78       <ul>
79         <li><span style="font-weight: bold;">April 2011.</span> The
80 specification of λδ version 2 and related topics is restarted in <a
81  href="http://matita.cs.unibo.it/">Matita 0.5</a>.
82           <ul>
83             <li><a href="apps_2.html">Here</a> is a page about the
84 topics related to the specification (Applications).</li>
85             <li><a href="basic_2.html">Here</a> is a page about the
86 specification (Core). </li>
87             <li><a href="ground_2.html">Here</a> is a page about the
88 background of the specification (Ground).</li>
89           </ul>
90         </li>
91       </ul>
92       <ul>
93         <li><span style="font-weight: bold;">December 2010.</span>
94 Transient λδ URL acquired: http://lambda-delta.info/
95 (expires on December 2012). <br>
96           <span style="font-weight: bold;"></span></li>
97       </ul>
98       <ul>
99         <li><span style="font-weight: bold;">November 2010.</span> <span
100  style="font-style: italic;">Helena 0.8.1</span> is released. <br>
101         </li>
102       </ul>
103       <ul>
104         <li><span style="font-weight: bold;">September 2009.</span> <span
105  style="font-style: italic;">Helena 0.8.0</span> is released and the <a
106  href="implementation.html#lddl">λδ Digital Library</a> is started.<br>
107           <span style="font-weight: bold;"></span></li>
108       </ul>
109       <ul>
110         <li><span style="font-weight: bold;">June 2009.</span> <span
111  style="font-style: italic;">Helena</span>, a <a
112  href="implementation.html#helena">validator for λδ version 2</a>, is
113 available as a part of the <a href="http://helm.cs.unibo.it/">HELM</a>
114 software. <br>
115         </li>
116       </ul>
117       <span style="font-weight: bold;"></span>
118       <ul>
119         <li><span style="font-weight: bold;">September 2008.</span>
120 This site is online.<br>
121         </li>
122       </ul>
123       <span style="font-weight: bold;"></span>
124       <ul>
125         <li><span style="font-weight: bold;">July 2008.</span> <a
126  href="documentation.html#ldp5">First journal paper on λδ</a> accepted
127 for publication.</li>
128       </ul>
129       <ul>
130         <li><span style="font-weight: bold;">July 2008.</span> First <a
131  href="http://helm.cs.unibo.it/procedural/">procedural reconstruction</a>
132 for <a href="http://matita.cs.unibo.it/">Matita 0.5</a> of the <a
133  href="implementation.html#ldp1">λδ proof scripts for Coq 7.3.1</a>.<br>
134         </li>
135       </ul>
136       <ul>
137         <li><span style="font-weight: bold;">June 2008.</span> The <a
138  href="implementation.html#static">HTML pages of the specification of
139 λδ version 1 for Matita 0.5</a> are online.<br>
140           <span style="font-weight: bold;"></span></li>
141       </ul>
142       <ul>
143         <li><span style="font-weight: bold;">May 2008.</span> The
144 specification of λδ version 1 is dismissed.<br>
145           <span style="font-weight: bold;"></span></li>
146       </ul>
147       <ul>
148         <li><span style="font-weight: bold;">March 2008.</span> The
149 specification of λδ version 2 is started with Coq 7.3.1 (false start). </li>
150       </ul>
151 <!--          <ul>
152             <li>native type assignment with new rules for application: <span
153  style="font-style: italic;">nty</span> (it replaces <span
154  style="font-style: italic;">ty3</span>);<br>
155             </li>
156             <li>parallel conversion on focalized terms: <span
157  style="font-style: italic;">fpcs</span> (it replaces <span
158  style="font-style: italic;"></span><span style="font-style: italic;">pc3</span>);
159               <br>
160             </li>
161             <li>new weak parallel reduction on environments: <span
162  style="font-style: italic;">wcpr</span> <span
163  style="font-style: italic;"></span>(it is based on <span
164  style="font-style: italic;">fpr</span> and replaces <span
165  style="font-style: italic;">wcpr0</span>);&nbsp; <br>
166             </li>
167             <li>parallel reduction on focalized terms: <span
168  style="font-style: italic;">fpr</span> and <span
169  style="font-style: italic;">fprs</span> (they replace <span
170  style="font-style: italic;"></span><span style="font-style: italic;"></span><span
171  style="font-style: italic;">pr2</span>, <span
172  style="font-style: italic;">pr3</span>); <br>
173             </li>
174           </ul>
175           <ul>
176             <li>new thinning relation: <span
177  style="font-style: italic;">drop</span>
178 (it replaces the old <span style="font-style: italic;">drop</span>, <span
179  style="font-style: italic;">clear</span>, <span
180  style="font-style: italic;">getl</span>, <span
181  style="font-style: italic;">cimp</span>, <span
182  style="font-style: italic;">drop1</span>);</li>
183             <li>new shift function: <span style="font-style: italic;">shift</span>:
184 (it
185 replaces
186
187               <span style="font-style: italic;">app1</span>);</li>
188             <li>new length function for environments: <span
189  style="font-style: italic;">clen</span>;<br>
190             </li>
191             <li>new relocation function: <span
192  style="font-style: italic;">lift</span> (it replaces old <span
193  style="font-style: italic;">lift</span>, <span
194  style="font-style: italic;">lift1</span>);<br>
195             </li>
196             <li>new term structure with polarity indicators and no
197 distinction between binding and flat items;</li>
198             <li>new general theory of relocation (comprises new
199 relocation functions: <span style="font-style: italic;">s</span>, <span
200  style="font-style: italic;">r</span>);</li>
201             <li>we removed context-free reduction and conversion (<span
202  style="font-style: italic;">pr0</span>, <span
203  style="font-style: italic;">pr1</span>, <span
204  style="font-style: italic;">pc1</span>);<br>
205             </li>
206             <li>we removed greedy substitution (<span
207  style="font-style: italic;"></span><span style="font-style: italic;">csubst0</span>,
208               <span style="font-style: italic;">csubst1</span>, <span
209  style="font-style: italic;">fsubst0</span>, <span
210  style="font-style: italic;">subst0</span>, <span
211  style="font-style: italic;">subst1</span>);<br>
212             </li>
213             <li>we removed level indicators on environments (<span
214  style="font-style: italic;">cbk</span>).</li>
215           </ul>
216 -->
217       <ul>
218         <li><span style="font-weight: bold;">September 2007.</span> The
219           <a href="implementation.html#dynamic">specification of λδ
220 version 1 for Matita 0.4</a> is online.</li>
221       </ul>
222       <ul>
223         <li><span style="font-weight: bold;">November 2006.</span> <a
224  href="documentation.html#ldp3">λδ version 1</a> is released.</li>
225       </ul>
226       <ul>
227         <li><span style="font-weight: bold;">December 2005.</span> <a
228  href="documentation.html#ldt1">First communication on λδ</a>.<br>
229         </li>
230       </ul>
231       <ul>
232         <li><span style="font-weight: bold;">May 2004.</span> The <a
233  href="implementation.html#ldp1">specification of λδ version 1</a> is
234 started with Coq 7.3.1.<br>
235         </li>
236       </ul>
237       <h3 style="text-align: right;">Visibility <img
238  style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
239  src="images/b4.png"></h3>
240       <ul>
241         <li><span style="font-weight: bold;">June 2014.</span> The <a
242  href="http://www.google.com/">Google</a> search for <span
243  style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
244 5 resources about λδ in the first 6 results.<br>
245         </li>
246       </ul>
247       <ul>
248         <li><span style="font-weight: bold;">June 2014.</span> The <a
249  href="http://www.yahoo.com/">Yahoo</a> search <span
250  style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
251 4 resources about λδ in the first 5 results.</li>
252       </ul>
253       </td>
254     </tr>
255   </tbody>
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271 <br>
272 Last update 2014-06-19 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
273 Guidi</a><br>
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