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5 <title>lambda_delta home page</title>
6 <meta content="Ferruccio Guidi" name="author">
7 <meta content="The formal system lambda_delta" name="description">
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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
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">λ</a><a
95 href="implementation.html#helena">δ version 2</a><span
96 style="font-style: italic;"></span>, <span style="font-style: italic;"></span>is
104 <a href="http://helm.cs.unibo.it/">HELM</a> software. <br>
107 <span style="font-weight: bold;"></span>
109 <li><span style="font-weight: bold;">September 2008.</span>
110 This site is online.<br>
113 <span style="font-weight: bold;"></span>
115 <li><span style="font-weight: bold;">July 2008.</span> <a
116 href="documentation.html#tocl1">First journal paper on λδ</a> accepted
117 for publication.</li>
120 <li><span style="font-weight: bold;">July 2008.</span> First <a
121 href="http://helm.cs.unibo.it/procedural/">procedural
122 reconstruction</a> for <a href="http://matita.cs.unibo.it/">Matita 0.5</a>
123 of the <a href="implementation.html#source">λδ proof scripts for
128 <li><span style="font-weight: bold;">June 2008.</span> The <a
129 href="implementation.html#static">HTML
130 pages of the specification of λδ version 1 for Matita 0.5</a> are
132 <span style="font-weight: bold;"></span></li>
135 <li><span style="font-weight: bold;">March 2008.</span> The
136 specification of λδ version 2 is started with Coq 7.3.1 (false start).
138 <li>native type assignment with new rules for application: <span
139 style="font-style: italic;">nty</span> (it replaces <span
140 style="font-style: italic;">ty3</span>);<br>
142 <li>parallel conversion on focalized terms: <span
143 style="font-style: italic;">fpcs</span> (it replaces <span
144 style="font-style: italic;"></span><span style="font-style: italic;">pc3</span>);
147 <li>new weak parallel reduction on environments: <span
148 style="font-style: italic;">wcpr</span> <span
149 style="font-style: italic;"></span>(it is based on <span
150 style="font-style: italic;">fpr</span> and replaces <span
151 style="font-style: italic;">wcpr0</span>); <br>
153 <li>parallel reduction on focalized terms: <span
154 style="font-style: italic;">fpr</span> and <span
155 style="font-style: italic;">fprs</span> (they replace <span
156 style="font-style: italic;"></span><span style="font-style: italic;"></span><span
157 style="font-style: italic;">pr2</span>, <span
158 style="font-style: italic;">pr3</span>); <br>
162 <li>new thinning relation: <span
163 style="font-style: italic;">drop</span>
164 (it replaces the old <span style="font-style: italic;">drop</span>, <span
165 style="font-style: italic;">clear</span>, <span
166 style="font-style: italic;">getl</span>, <span
167 style="font-style: italic;">cimp</span>, <span
168 style="font-style: italic;">drop1</span>);</li>
169 <li>new shift function: <span style="font-style: italic;">shift</span>:
173 <span style="font-style: italic;">app1</span>);</li>
174 <li>new length function for environments: <span
175 style="font-style: italic;">clen</span>;<br>
177 <li>new relocation function: <span
178 style="font-style: italic;">lift</span> (it replaces old <span
179 style="font-style: italic;">lift</span>, <span
180 style="font-style: italic;">lift1</span>);<br>
182 <li>new term structure with polarity indicators and no
183 distinction between binding and flat items;</li>
184 <li>new general theory of relocation (comprises new
185 relocation functions: <span style="font-style: italic;">s</span>, <span
186 style="font-style: italic;">r</span>);</li>
187 <li>we removed context-free reduction and conversion (<span
188 style="font-style: italic;">pr0</span>, <span
189 style="font-style: italic;">pr1</span>, <span
190 style="font-style: italic;">pc1</span>);<br>
192 <li>we removed greedy substitution (<span
193 style="font-style: italic;"></span><span style="font-style: italic;">csubst0</span>,
194 <span style="font-style: italic;">csubst1</span>, <span
195 style="font-style: italic;">fsubst0</span>, <span
196 style="font-style: italic;">subst0</span>, <span
197 style="font-style: italic;">subst1</span>);<br>
199 <li>we removed level indicators on environments (<span
200 style="font-style: italic;">cbk</span>).</li>
205 <li><span style="font-weight: bold;">September 2007.</span>
206 The <a href="implementation.html#dynamic">specification of λδ version
208 Matita 0.4</a> is online.<br>
212 <li><span style="font-weight: bold;">December 2005.</span> <a
213 href="documentation.html#bologna1">First communication on λδ</a>.<br>
217 <li><span style="font-weight: bold;">May 2004.</span> The <a
218 href="implementation.html#source">specification of λδ version 1</a> is
219 started with Coq 7.3.1.<br>
222 <h3 style="text-align: right;">Visibility <img
223 style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly"
224 src="download/b4.png"></h3>
226 <li><span style="font-weight: bold;">February 2012.</span>
227 The <a href="http://www.google.com/">Google</a>
228 search for <span style="color: rgb(255, 0, 0);">formal system lambda
230 gives 5 resources about λδ in the first 6 results.<br>
234 <li><span style="font-weight: bold;">February 2012.</span>
235 The <a href="http://www.yahoo.com/">Yahoo</a>
236 search <span style="color: rgb(255, 0, 0);">formal system lambda delta</span>
237 gives this site as the first result.</li>
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256 Last update 2012-02-21 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio