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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> as soon as
63 <li><span style="font-weight: bold;">April 2011.</span> The
64 specification of λδ version 2 is restarted in <a
65 href="http://matita.cs.unibo.it/">Matita 0.5</a>.</li>
67 <li><a href="ld_basic_2.html">Here</a> is a page about the
73 <li><span style="font-weight: bold;">December 2010.</span>
74 Permanent λδ URL acquired: <a href="http://lambda-delta.info">http://lambda-delta.info</a>
75 (pointing at this site). <br>
76 <span style="font-weight: bold;"></span></li>
79 <li><span style="font-weight: bold;">November 2010.</span> <span
80 style="font-style: italic;">Helena 0.8.1</span> is released. <br>
84 <li><span style="font-weight: bold;">September 2009.</span> <span
85 style="font-style: italic;">Helena 0.8.0</span> is released and the <a
86 href="implementation.html#lddl">λδ Digital Library</a> is
88 <span style="font-weight: bold;"></span></li>
91 <li><span style="font-weight: bold;">June 2009.</span> <span
92 style="font-style: italic;">Helena</span>, A <a
93 href="implementation.html#helena">validator for </a><a
94 href="implementation.html#helena">λδ</a><span
95 style="font-style: italic;"></span>, <span style="font-style: italic;"></span>is
102 <a href="http://helm.cs.unibo.it/">HELM</a> software. <br>
105 <span style="font-weight: bold;"></span>
107 <li><span style="font-weight: bold;">September 2008.</span>
108 This site is online.<br>
111 <span style="font-weight: bold;"></span>
113 <li><span style="font-weight: bold;">July 2008.</span> <a
114 href="documentation.html#tocl1">First journal paper on λδ</a> accepted
115 for publication.</li>
118 <li><span style="font-weight: bold;">July 2008.</span> First <a
119 href="http://helm.cs.unibo.it/procedural/">procedural
120 reconstruction</a> in <a href="http://matita.cs.unibo.it/">Matita 0.5</a>
121 of the <a href="implementation.html#source">λδ proof scripts in
126 <li><span style="font-weight: bold;">June 2008.</span> The <a
127 href="implementation.html#static">HTML
128 pages of the specification of λδ in Matita 0.5</a> are online.<br>
129 <span style="font-weight: bold;"></span></li>
132 <li><span style="font-weight: bold;">March 2008.</span> The
133 specification of λδ version 2 in Coq 7.3.1 begins:
135 <li>native type assignment with new rules for application: <span
136 style="font-style: italic;">nty</span> (it replaces <span
137 style="font-style: italic;">ty3</span>);<br>
139 <li>parallel conversion on focalized terms: <span
140 style="font-style: italic;">fpcs</span> (it replaces <span
141 style="font-style: italic;"></span><span style="font-style: italic;">pc3</span>);
144 <li>new weak parallel reduction on environments: <span
145 style="font-style: italic;">wcpr</span> <span
146 style="font-style: italic;"></span>(it is based on <span
147 style="font-style: italic;">fpr</span> and replaces <span
148 style="font-style: italic;">wcpr0</span>); <br>
150 <li>parallel reduction on focalized terms: <span
151 style="font-style: italic;">fpr</span> and <span
152 style="font-style: italic;">fprs</span> (they replace <span
153 style="font-style: italic;"></span><span style="font-style: italic;"></span><span
154 style="font-style: italic;">pr2</span>, <span
155 style="font-style: italic;">pr3</span>); <br>
159 <li>new thinning relation: <span
160 style="font-style: italic;">drop</span>
161 (it replaces the old <span style="font-style: italic;">drop</span>, <span
162 style="font-style: italic;">clear</span>, <span
163 style="font-style: italic;">getl</span>, <span
164 style="font-style: italic;">cimp</span>, <span
165 style="font-style: italic;">drop1</span>);</li>
166 <li>new shift function: <span style="font-style: italic;">shift</span>:
170 <span style="font-style: italic;">app1</span>);</li>
171 <li>new length function for environments: <span
172 style="font-style: italic;">clen</span>;<br>
174 <li>new relocation function: <span
175 style="font-style: italic;">lift</span> (it replaces old <span
176 style="font-style: italic;">lift</span>, <span
177 style="font-style: italic;">lift1</span>);<br>
179 <li>new term structure with polarity indicators and no
180 distinction between binding and flat items;</li>
181 <li>new general theory of relocation (comprises new
182 relocation functions: <span style="font-style: italic;">s</span>, <span
183 style="font-style: italic;">r</span>);</li>
184 <li>we removed context-free reduction and conversion (<span
185 style="font-style: italic;">pr0</span>, <span
186 style="font-style: italic;">pr1</span>, <span
187 style="font-style: italic;">pc1</span>);<br>
189 <li>we removed greedy substitution (<span
190 style="font-style: italic;"></span><span style="font-style: italic;">csubst0</span>,
191 <span style="font-style: italic;">csubst1</span>, <span
192 style="font-style: italic;">fsubst0</span>, <span
193 style="font-style: italic;">subst0</span>, <span
194 style="font-style: italic;">subst1</span>);<br>
196 <li>we removed level indicators on environments (<span
197 style="font-style: italic;">cbk</span>).</li>
202 <li><span style="font-weight: bold;">September 2007.</span>
203 The <a href="implementation.html#dynamic">specification of λδ in
204 Matita 0.4</a> is online.<br>
208 <li><span style="font-weight: bold;">December 2005.</span> <a
209 href="documentation.html#bologna1">First communication on λδ</a>.<br>
213 <li><span style="font-weight: bold;">May 2004.</span> The <a
214 href="implementation.html#source">specification of λδ in
215 Coq 7.3.1</a> begins.<br>
218 <h3 style="text-align: right;">Visibility <img
219 style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
220 src="download/b4.png"></h3>
222 <li><span style="font-weight: bold;">November 2010.</span>
223 The <a href="http://www.google.com/">Google</a>
224 search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span>
225 gives 8 resources about λδ as the first results.<br>
229 <li><span style="font-weight: bold;">November 2010.</span>
230 The <a href="http://www.yahoo.com/">Yahoo</a>
231 search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span>
232 gives 4 resources and 2 sub-resources about λδ as the first results.</li>
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251 Last update 2011-10-03 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio