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5 <title>lambda_delta home page</title>
6 <meta content="Ferruccio Guidi" name="author">
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16 <h1>The Formal System λδ (lambda_delta)<br>
18 <h2>Towards the unification of terms, types, environments and contexts</h2>
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26 <td style="vertical-align: top;">
28 <li><a href="index.html">Foreword</a></li>
34 <li><a href="documentation.html">Papers</a></li>
37 <li><a href="implementation.html">Resources</a><br>
41 <td style="vertical-align: top; text-align: left;">
42 <h3 style="text-align: right;">News <img
43 style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
44 src="download/b5.png"></h3>
46 <li><span style="font-weight: bold;">September 2011.</span> The
47 denomination "lambda-delta" changes to "lambda_delta".</li>
49 <li>The character "-" is reserved in λδ textual syntax
50 (recognized by <span style="font-style: italic;">Helena 0.8.1</span>).<br>
52 <li>Eventually, the occurrences of the character "-" will be
53 replaced by "_" in all λδ-related identifiers.</li>
54 <li>In particular, this refactoring involves file names and
56 <li>The permanent λδ URL is sheduled to become <span
57 style="font-style: italic;">http://lambda_delta.info</span> on December 2012.<br>
62 <li><span style="font-weight: bold;">April 2011.</span> The
63 specification of λδ version 2 is restarted in <a
64 href="http://matita.cs.unibo.it/">Matita 0.5</a>.</li>
66 <li><a href="ld_basic_2.html">Here</a> is a page about the
72 <li><span style="font-weight: bold;">December 2010.</span>
73 Permanent λδ URL acquired: <a href="http://lambda-delta.info">http://lambda-delta.info</a>
74 (pointing at this site). <br>
75 <span style="font-weight: bold;"></span></li>
78 <li><span style="font-weight: bold;">November 2010.</span> <span
79 style="font-style: italic;">Helena 0.8.1</span> is released. <br>
83 <li><span style="font-weight: bold;">September 2009.</span> <span
84 style="font-style: italic;">Helena 0.8.0</span> is released and the <a
85 href="implementation.html#lddl">λδ Digital Library</a> is
87 <span style="font-weight: bold;"></span></li>
90 <li><span style="font-weight: bold;">June 2009.</span> <span
91 style="font-style: italic;">Helena</span>, A <a
92 href="implementation.html#helena">validator for </a><a
93 href="implementation.html#helena">λδ</a><span
94 style="font-style: italic;"></span>, <span style="font-style: italic;"></span>is
101 <a href="http://helm.cs.unibo.it/">HELM</a> software. <br>
104 <span style="font-weight: bold;"></span>
106 <li><span style="font-weight: bold;">September 2008.</span>
107 This site is online.<br>
110 <span style="font-weight: bold;"></span>
112 <li><span style="font-weight: bold;">July 2008.</span> <a
113 href="documentation.html#tocl1">First journal paper on λδ</a> accepted
114 for publication.</li>
117 <li><span style="font-weight: bold;">July 2008.</span> First <a
118 href="http://helm.cs.unibo.it/procedural/">procedural
119 reconstruction</a> in <a href="http://matita.cs.unibo.it/">Matita 0.5</a>
120 of the <a href="implementation.html#source">λδ proof scripts in
125 <li><span style="font-weight: bold;">June 2008.</span> The <a
126 href="implementation.html#static">HTML
127 pages of the specification of λδ in Matita 0.5</a> are online.<br>
128 <span style="font-weight: bold;"></span></li>
131 <li><span style="font-weight: bold;">March 2008.</span> The
132 specification of λδ version 2 begins in Coq 7.3.1 (false start).
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>
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>);
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>); <br>
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>
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>:
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>
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>
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>
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>
195 <li>we removed level indicators on environments (<span
196 style="font-style: italic;">cbk</span>).</li>
201 <li><span style="font-weight: bold;">September 2007.</span>
202 The <a href="implementation.html#dynamic">specification of λδ in
203 Matita 0.4</a> is online.<br>
207 <li><span style="font-weight: bold;">December 2005.</span> <a
208 href="documentation.html#bologna1">First communication on λδ</a>.<br>
212 <li><span style="font-weight: bold;">May 2004.</span> The <a
213 href="implementation.html#source">specification of λδ in
214 Coq 7.3.1</a> begins.<br>
217 <h3 style="text-align: right;">Visibility <img
218 style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
219 src="download/b4.png"></h3>
221 <li><span style="font-weight: bold;">November 2010.</span>
222 The <a href="http://www.google.com/">Google</a>
223 search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span>
224 gives 8 resources about λδ as the first results.<br>
228 <li><span style="font-weight: bold;">November 2010.</span>
229 The <a href="http://www.yahoo.com/">Yahoo</a>
230 search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span>
231 gives 4 resources and 2 sub-resources about λδ as the first results.</li>
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250 Last update 2011-10-03 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio