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5 <meta content="text/html; charset=UTF-8" http-equiv="content-type"><title>λδ home page</title>
7 <meta content="Ferruccio Guidi" name="author">
8 <meta content="The formal system λδ" name="description">
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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>
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">
19 <td style="vertical-align: top;">
21 <li><a href="index.html">Foreword</a></li>
27 <li><a href="documentation.html">Papers</a></li>
30 <li><a href="implementation.html">Resources</a><br>
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>
38 <li><span style="font-weight: bold;">December 2012.</span> The character "_" is removed from the denomination "lambda_delta". <br>
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>
48 <li><span style="font-weight: bold;">September 2011.</span> The
49 denomination "lambda-delta" changes to "lambda_delta".
51 <li>The character "-" is reserved in λδ textual syntax
52 (recognized by <span style="font-style: italic;">Helena 0.8.1</span>).
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
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>.
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>
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>
82 <li><span style="font-weight: bold;">November 2010.</span> <span style="font-style: italic;">Helena 0.8.1</span> is released. <br>
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>
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>
95 <span style="font-weight: bold;"></span>
97 <li><span style="font-weight: bold;">September 2008.</span>
98 This site is online.<br>
101 <span style="font-weight: bold;"></span>
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>
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>
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>
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>
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>
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>
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>);
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>); <br>
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>
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>:
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>
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>
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>
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>
187 <li>we removed level indicators on environments (<span
188 style="font-style: italic;">cbk</span>).</li>
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>
197 <li><span style="font-weight: bold;">November 2006.</span> <a href="documentation.html#ldp3">λδ version 1</a> is released.</li>
200 <li><span style="font-weight: bold;">December 2005.</span> <a href="documentation.html#ldt1">First communication on λδ</a>.<br>
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>
208 <h3 style="text-align: right;">Visibility <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b4.png"></h3>
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>
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>
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227 Last update 2012-12-01 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio