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5   <title>lambdadelta home page</title>
6   <meta content="Ferruccio Guidi" name="author">
7   <meta content="The formal system lambdadelta" 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="download/crux_32.png"
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15 <h1>The Formal System λδ (lambdadelta)<br>
16 </h1>
17 <h2>Towards the unification of terms, types, environments and contexts</h2>
18 <img style="width: 95%; height: 4px;" alt="[Separator]"
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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="download/b5.png"></h3>
44       <ul>
45         <li><span style="font-weight: bold;">September 2011.</span> The
46 denomination "lambdadelta" changes to "lambdadelta".
47           <ul>
48             <li>The character "-" is reserved in λδ textual syntax
49 (recognized by <span style="font-style: italic;">Helena 0.8.1</span>).
50             </li>
51             <li>Eventually, the occurrences of the character "-" will
52 be replaced by "_" in all λδ-related identifiers.</li>
53             <li>In particular, this refactoring involves file names and
54 path names.</li>
55             <li>The permanent λδ URL is sheduled to become <span
56  style="font-style: italic;">http://lambdadelta.info</span> on
57 December 2012.<br>
58             </li>
59           </ul>
60         </li>
61       </ul>
62       <ul>
63         <li><span style="font-weight: bold;">April 2011.</span> The
64 specification of λδ version 2 and related topics is restarted in <a
65  href="http://matita.cs.unibo.it/">Matita 0.5</a>.
66           <ul>
67             <li><a href="apps_2.html">Here</a> is a page about the
68 topics related to the specification (Applications).</li>
69             <li><a href="basic_2.html">Here</a> is a page about the
70 specification (Core). </li>
71           </ul>
72         </li>
73       </ul>
74       <ul>
75         <li><span style="font-weight: bold;">December 2010.</span>
76 Permanent λδ URL acquired: <a href="http://lambdadelta.info">http://lambdadelta.info</a>
77 (pointing at this site). <br>
78           <span style="font-weight: bold;"></span></li>
79       </ul>
80       <ul>
81         <li><span style="font-weight: bold;">November 2010.</span> <span
82  style="font-style: italic;">Helena 0.8.1</span> is released. <br>
83         </li>
84       </ul>
85       <ul>
86         <li><span style="font-weight: bold;">September 2009.</span> <span
87  style="font-style: italic;">Helena 0.8.0</span> is released and the <a
88  href="implementation.html#lddl">λδ Digital Library</a> is started.<br>
89           <span style="font-weight: bold;"></span></li>
90       </ul>
91       <ul>
92         <li><span style="font-weight: bold;">June 2009.</span> <span
93  style="font-style: italic;">Helena</span>, a <a
94  href="implementation.html#helena">validator for λδ version 2</a>, is
95 available as a part of the <a href="http://helm.cs.unibo.it/">HELM</a>
96 software. <br>
97         </li>
98       </ul>
99       <span style="font-weight: bold;"></span>
100       <ul>
101         <li><span style="font-weight: bold;">September 2008.</span>
102 This site is online.<br>
103         </li>
104       </ul>
105       <span style="font-weight: bold;"></span>
106       <ul>
107         <li><span style="font-weight: bold;">July 2008.</span> <a
108  href="documentation.html#ldp5">First journal paper on λδ</a> accepted
109 for publication.</li>
110       </ul>
111       <ul>
112         <li><span style="font-weight: bold;">July 2008.</span> First <a
113  href="http://helm.cs.unibo.it/procedural/">procedural reconstruction</a>
114 for <a href="http://matita.cs.unibo.it/">Matita 0.5</a> of the <a
115  href="implementation.html#ldp1">λδ proof scripts for Coq 7.3.1</a>.<br>
116         </li>
117       </ul>
118       <ul>
119         <li><span style="font-weight: bold;">June 2008.</span> The <a
120  href="implementation.html#static">HTML pages of the specification of
121 λδ version 1 for Matita 0.5</a> are online.<br>
122           <span style="font-weight: bold;"></span></li>
123       </ul>
124       <ul>
125         <li><span style="font-weight: bold;">May 2008.</span> The
126 specification of λδ version 1 is closed.<br>
127           <span style="font-weight: bold;"></span></li>
128       </ul>
129       <ul>
130         <li><span style="font-weight: bold;">March 2008.</span> The
131 specification of λδ version 2 is started with Coq 7.3.1 (false start). </li>
132       </ul>
133 <!--          <ul>
134             <li>native type assignment with new rules for application: <span
135  style="font-style: italic;">nty</span> (it replaces <span
136  style="font-style: italic;">ty3</span>);<br>
137             </li>
138             <li>parallel conversion on focalized terms: <span
139  style="font-style: italic;">fpcs</span> (it replaces <span
140  style="font-style: italic;"></span><span style="font-style: italic;">pc3</span>);
141               <br>
142             </li>
143             <li>new weak parallel reduction on environments: <span
144  style="font-style: italic;">wcpr</span> <span
145  style="font-style: italic;"></span>(it is based on <span
146  style="font-style: italic;">fpr</span> and replaces <span
147  style="font-style: italic;">wcpr0</span>);&nbsp; <br>
148             </li>
149             <li>parallel reduction on focalized terms: <span
150  style="font-style: italic;">fpr</span> and <span
151  style="font-style: italic;">fprs</span> (they replace <span
152  style="font-style: italic;"></span><span style="font-style: italic;"></span><span
153  style="font-style: italic;">pr2</span>, <span
154  style="font-style: italic;">pr3</span>); <br>
155             </li>
156           </ul>
157           <ul>
158             <li>new thinning relation: <span
159  style="font-style: italic;">drop</span>
160 (it replaces the old <span style="font-style: italic;">drop</span>, <span
161  style="font-style: italic;">clear</span>, <span
162  style="font-style: italic;">getl</span>, <span
163  style="font-style: italic;">cimp</span>, <span
164  style="font-style: italic;">drop1</span>);</li>
165             <li>new shift function: <span style="font-style: italic;">shift</span>:
166 (it
167 replaces
168
169               <span style="font-style: italic;">app1</span>);</li>
170             <li>new length function for environments: <span
171  style="font-style: italic;">clen</span>;<br>
172             </li>
173             <li>new relocation function: <span
174  style="font-style: italic;">lift</span> (it replaces old <span
175  style="font-style: italic;">lift</span>, <span
176  style="font-style: italic;">lift1</span>);<br>
177             </li>
178             <li>new term structure with polarity indicators and no
179 distinction between binding and flat items;</li>
180             <li>new general theory of relocation (comprises new
181 relocation functions: <span style="font-style: italic;">s</span>, <span
182  style="font-style: italic;">r</span>);</li>
183             <li>we removed context-free reduction and conversion (<span
184  style="font-style: italic;">pr0</span>, <span
185  style="font-style: italic;">pr1</span>, <span
186  style="font-style: italic;">pc1</span>);<br>
187             </li>
188             <li>we removed greedy substitution (<span
189  style="font-style: italic;"></span><span style="font-style: italic;">csubst0</span>,
190               <span style="font-style: italic;">csubst1</span>, <span
191  style="font-style: italic;">fsubst0</span>, <span
192  style="font-style: italic;">subst0</span>, <span
193  style="font-style: italic;">subst1</span>);<br>
194             </li>
195             <li>we removed level indicators on environments (<span
196  style="font-style: italic;">cbk</span>).</li>
197           </ul>
198 -->
199       <ul>
200         <li><span style="font-weight: bold;">September 2007.</span> The
201           <a href="implementation.html#dynamic">specification of λδ
202 version 1 for Matita 0.4</a> is online.</li>
203       </ul>
204       <ul>
205         <li><span style="font-weight: bold;">November 2006.</span> <a
206  href="documentation.html#ldp3">λδ version 1</a> is released.</li>
207       </ul>
208       <ul>
209         <li><span style="font-weight: bold;">December 2005.</span> <a
210  href="documentation.html#ldt1">First communication on λδ</a>.<br>
211         </li>
212       </ul>
213       <ul>
214         <li><span style="font-weight: bold;">May 2004.</span> The <a
215  href="implementation.html#ldp1">specification of λδ version 1</a> is
216 started with Coq 7.3.1.<br>
217         </li>
218       </ul>
219       <h3 style="text-align: right;">Visibility <img
220  style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
221  src="download/b4.png"></h3>
222       <ul>
223         <li><span style="font-weight: bold;">February 2012.</span> The <a
224  href="http://www.google.com/">Google</a> search for <span
225  style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
226 5 resources about λδ in the first 6 results.<br>
227         </li>
228       </ul>
229       <ul>
230         <li><span style="font-weight: bold;">February 2012.</span> The <a
231  href="http://www.yahoo.com/">Yahoo</a> search <span
232  style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
233 this site as the first result.</li>
234       </ul>
235       </td>
236     </tr>
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254 Last update 2012-12-01 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
255
256 Guidi</a><br>
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