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5   <meta content="text/html; charset=UTF-8" http-equiv="content-type"><title>λδ home page</title>
6   
7   <meta content="Ferruccio Guidi" name="author">
8   <meta content="The formal system λδ" name="description">
9   <link rel="shortcut icon" href="images/crux_16.ico"></head><body>
10 <div style="text-align: center;"> <br>
11 <a href="http://lambdadelta.info"><img alt="[Crux Logo]" title="The Crux" src="images/crux_32.png" style="border: 0px solid ; width: 32px; height: 32px;"></a>
12 <h1>The Formal System λδ (\lambda\delta)<br>
13 </h1>
14 <h2>Towards the unification of terms, types, environments and contexts</h2>
15 <img style="width: 95%; height: 4px;" alt="[Separator]" title="Separator" src="images/rainbow.png"><br>
16 <table style="text-align: left; width: 95%; margin-left: auto; margin-right: auto;" border="0" cellpadding="2" cellspacing="20">
17   <tbody>
18     <tr>
19       <td style="vertical-align: top;">
20       <ul>
21         <li><a href="index.html">Foreword</a></li>
22       </ul>
23       <ul>
24         <li>News</li>
25       </ul>
26       <ul>
27         <li><a href="documentation.html">Papers</a></li>
28       </ul>
29       <ul>
30         <li><a href="implementation.html">Resources</a><br>
31         </li>
32       </ul>
33       </td>
34       <td style="vertical-align: top; text-align: left;">
35       <h3 style="text-align: right;">News <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b5.png"></h3>
36       <ul>
37         
38         <li><span style="font-weight: bold;">December 2012.</span> The character "_" is removed from the denomination "lambda_delta". <br>
39         </li>
40         <ul>
41           <li>The denomination "\lambda\delta" is used in λδ-related texts.</li>
42           <li>The denomination "lambdadelta" is used in λδ-related identifiers.</li>
43           <li>Permanent λδ URL acquired: <a href="http://lambdadelta.info/">http://lambdadelta.info/</a>
44 (pointing at this site). </li>
45         </ul>
46 </ul>
47       <ul>
48         <li><span style="font-weight: bold;">September 2011.</span> The
49 denomination "lambda-delta" changes to "lambda_delta".
50           <ul>
51             <li>The character "-" is reserved in λδ textual syntax
52 (recognized by <span style="font-style: italic;">Helena 0.8.1</span>).
53             </li>
54             <li>Eventually, the occurrences of the character "-" will
55 be replaced by "_" in all λδ-related identifiers.</li>
56             <li>In particular, this refactoring involves file names and
57 path names.</li>
58             
59           </ul>
60         </li>
61
62       
63       </ul>
64
65       <ul>
66         <li><span style="font-weight: bold;">April 2011.</span> The
67 specification of λδ version 2 and related topics is restarted in <a href="http://matita.cs.unibo.it/">Matita 0.5</a>.
68           <ul>
69             <li><a href="apps_2.html">Here</a> is a page about the
70 topics related to the specification (Applications).</li>
71             <li><a href="basic_2.html">Here</a> is a page about the
72 specification (Core). </li>
73           </ul>
74         </li>
75       </ul>
76       <ul>
77         <li><span style="font-weight: bold;">December 2010.</span> Transient λδ URL acquired: http://lambda-delta.info/
78 (expires on December 2012). <br>
79           <span style="font-weight: bold;"></span></li>
80       </ul>
81       <ul>
82         <li><span style="font-weight: bold;">November 2010.</span> <span 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 style="font-style: italic;">Helena 0.8.0</span> is released and the <a href="implementation.html#lddl">λδ Digital Library</a> is started.<br>
87           <span style="font-weight: bold;"></span></li>
88       </ul>
89       <ul>
90         <li><span style="font-weight: bold;">June 2009.</span> <span style="font-style: italic;">Helena</span>, a <a href="implementation.html#helena">validator for λδ version 2</a>, is
91 available as a part of the <a href="http://helm.cs.unibo.it/">HELM</a>
92 software. <br>
93         </li>
94       </ul>
95       <span style="font-weight: bold;"></span>
96       <ul>
97         <li><span style="font-weight: bold;">September 2008.</span>
98 This site is online.<br>
99         </li>
100       </ul>
101       <span style="font-weight: bold;"></span>
102       <ul>
103         <li><span style="font-weight: bold;">July 2008.</span> <a href="documentation.html#ldp5">First journal paper on λδ</a> accepted
104 for publication.</li>
105       </ul>
106       <ul>
107         <li><span style="font-weight: bold;">July 2008.</span> First <a href="http://helm.cs.unibo.it/procedural/">procedural reconstruction</a>
108 for <a href="http://matita.cs.unibo.it/">Matita 0.5</a> of the <a href="implementation.html#ldp1">λδ proof scripts for Coq 7.3.1</a>.<br>
109         </li>
110       </ul>
111       <ul>
112         <li><span style="font-weight: bold;">June 2008.</span> The <a href="implementation.html#static">HTML pages of the specification of
113 λδ version 1 for Matita 0.5</a> are online.<br>
114           <span style="font-weight: bold;"></span></li>
115       </ul>
116       <ul>
117         <li><span style="font-weight: bold;">May 2008.</span> The
118 specification of λδ version 1 is closed.<br>
119           <span style="font-weight: bold;"></span></li>
120       </ul>
121       <ul>
122         <li><span style="font-weight: bold;">March 2008.</span> The
123 specification of λδ version 2 is started with Coq 7.3.1 (false start). </li>
124       </ul>
125 <!--          <ul>
126             <li>native type assignment with new rules for application: <span
127  style="font-style: italic;">nty</span> (it replaces <span
128  style="font-style: italic;">ty3</span>);<br>
129             </li>
130             <li>parallel conversion on focalized terms: <span
131  style="font-style: italic;">fpcs</span> (it replaces <span
132  style="font-style: italic;"></span><span style="font-style: italic;">pc3</span>);
133               <br>
134             </li>
135             <li>new weak parallel reduction on environments: <span
136  style="font-style: italic;">wcpr</span> <span
137  style="font-style: italic;"></span>(it is based on <span
138  style="font-style: italic;">fpr</span> and replaces <span
139  style="font-style: italic;">wcpr0</span>);&nbsp; <br>
140             </li>
141             <li>parallel reduction on focalized terms: <span
142  style="font-style: italic;">fpr</span> and <span
143  style="font-style: italic;">fprs</span> (they replace <span
144  style="font-style: italic;"></span><span style="font-style: italic;"></span><span
145  style="font-style: italic;">pr2</span>, <span
146  style="font-style: italic;">pr3</span>); <br>
147             </li>
148           </ul>
149           <ul>
150             <li>new thinning relation: <span
151  style="font-style: italic;">drop</span>
152 (it replaces the old <span style="font-style: italic;">drop</span>, <span
153  style="font-style: italic;">clear</span>, <span
154  style="font-style: italic;">getl</span>, <span
155  style="font-style: italic;">cimp</span>, <span
156  style="font-style: italic;">drop1</span>);</li>
157             <li>new shift function: <span style="font-style: italic;">shift</span>:
158 (it
159 replaces
160
161               <span style="font-style: italic;">app1</span>);</li>
162             <li>new length function for environments: <span
163  style="font-style: italic;">clen</span>;<br>
164             </li>
165             <li>new relocation function: <span
166  style="font-style: italic;">lift</span> (it replaces old <span
167  style="font-style: italic;">lift</span>, <span
168  style="font-style: italic;">lift1</span>);<br>
169             </li>
170             <li>new term structure with polarity indicators and no
171 distinction between binding and flat items;</li>
172             <li>new general theory of relocation (comprises new
173 relocation functions: <span style="font-style: italic;">s</span>, <span
174  style="font-style: italic;">r</span>);</li>
175             <li>we removed context-free reduction and conversion (<span
176  style="font-style: italic;">pr0</span>, <span
177  style="font-style: italic;">pr1</span>, <span
178  style="font-style: italic;">pc1</span>);<br>
179             </li>
180             <li>we removed greedy substitution (<span
181  style="font-style: italic;"></span><span style="font-style: italic;">csubst0</span>,
182               <span style="font-style: italic;">csubst1</span>, <span
183  style="font-style: italic;">fsubst0</span>, <span
184  style="font-style: italic;">subst0</span>, <span
185  style="font-style: italic;">subst1</span>);<br>
186             </li>
187             <li>we removed level indicators on environments (<span
188  style="font-style: italic;">cbk</span>).</li>
189           </ul>
190 -->
191       <ul>
192         <li><span style="font-weight: bold;">September 2007.</span> The
193           <a href="implementation.html#dynamic">specification of λδ
194 version 1 for Matita 0.4</a> is online.</li>
195       </ul>
196       <ul>
197         <li><span style="font-weight: bold;">November 2006.</span> <a href="documentation.html#ldp3">λδ version 1</a> is released.</li>
198       </ul>
199       <ul>
200         <li><span style="font-weight: bold;">December 2005.</span> <a href="documentation.html#ldt1">First communication on λδ</a>.<br>
201         </li>
202       </ul>
203       <ul>
204         <li><span style="font-weight: bold;">May 2004.</span> The <a href="implementation.html#ldp1">specification of λδ version 1</a> is
205 started with Coq 7.3.1.<br>
206         </li>
207       </ul>
208       <h3 style="text-align: right;">Visibility <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b4.png"></h3>
209       <ul>
210         <li><span style="font-weight: bold;">February 2012.</span> The <a href="http://www.google.com/">Google</a> search for <span style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
211 5 resources about λδ in the first 6 results.<br>
212         </li>
213       </ul>
214       <ul>
215         <li><span style="font-weight: bold;">February 2012.</span> The <a href="http://www.yahoo.com/">Yahoo</a> search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span> gives
216 this site as the first result.</li>
217       </ul>
218       </td>
219     </tr>
220   </tbody>
221 </table>
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226 <br>
227 Last update 2012-12-01 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
228
229 Guidi</a><br>
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