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8     <meta name="author" content="Ferruccio Guidi" />
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10     <title>\lambda\delta home page</title>
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22     <div class="head1">The Formal System λδ (\lambda\delta)</div>
23     <div class="spacer">
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30       <table cellpadding="4" cellspacing="0">
31         <tbody>
32           <tr>
33             <td class="snns capitalize italic sky">
34               <a href="http://lambdadelta.info/index.html">home</a>
35             </td>
36             <td class="snns capitalize italic magenta">
37               <a href="http://lambdadelta.info/news.html">news</a>
38             </td>
39             <td class="snns capitalize italic orange">
40               <a href="http://lambdadelta.info/documentation.html">documentation</a>
41             </td>
42             <td class="snns capitalize italic green">
43               <a href="http://lambdadelta.info/specification.html">specification</a>
44             </td>
45             <td class="snnn capitalize italic green">
46               <br />
47             </td>
48             <td class="ssns capitalize italic green">
49               <a href="http://lambdadelta.info/implementation.html">implementation</a>
50             </td>
51           </tr>
52           <tr>
53             <td class="snns capitalize sky">
54               <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
55             </td>
56             <td class="snns capitalize magenta">
57               <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
58             </td>
59             <td class="snns capitalize orange">
60               <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
61             </td>
62             <td class="snns capitalize green">
63               <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
64             </td>
65             <td class="snnn capitalize green">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
66             <td class="ssns capitalize green">
67               <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
68             </td>
69           </tr>
70           <tr>
71             <td class="snss capitalize sky">
72               <a href="http://lambdadelta.info/index.html#citations">citations</a>
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75               <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
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78               <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
79             </td>
80             <td class="snss capitalize green">
81               <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
82             </td>
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84               <br />
85             </td>
86             <td class="ssss capitalize green">
87               <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
88             </td>
89           </tr>
90         </tbody>
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92     </div>
93
94    <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="foreword">Foreword <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b9.png" />
95     </div>
96    <div xmlns:ld="http://lambdadelta.info/" class="text">
97       The formal system λδ (\lambda\delta) is a typed λ-calculus aiming to support
98       the foundations of Mathematics that require an underlying specification language
99       (for example the <a href="http://www.math.unipd.it/~maietti/">Minimal Type Theory</a>
100        and its predecessors).
101    </div>
102    <div xmlns:ld="http://lambdadelta.info/" class="text">
103       λδ is developed in the context of the
104       <a href="http://helm.cs.unibo.it/">Hypertextual Electronic Library of Mathematics</a>
105       as a machine-checked digital specification
106       that is not the formal counterpart of previous informal material.
107    </div>
108    <div xmlns:ld="http://lambdadelta.info/" class="text">
109       This is the System logo: <a href="http://lambdadelta.info/images/crux_177.png">crux_177.png</a>
110       (revised <span class="emph alpha">2012-09</span>).
111    </div>
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113       <span class="emph alpha">Notice for the user of Internet Explorer.</span>
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120
121
122
123    <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="citations">Citations <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b9.png" />
124     </div>
125    <div xmlns:ld="http://lambdadelta.info/" class="text">
126       This is a list of publications citing λδ (not including our own).
127    </div>
128
129    <ul xmlns:ld="http://lambdadelta.info/" id="C6">
130       <li>
131       A. Asperti, W. Ricciotti, C. Sacerdoti Coen, E. Tassi:
132       <span class="emph alpha">Formal metatheory of programming languages in the Matita interactive theorem prover</span>
133       (2012). In JAR 49(3), pp. 427-451.
134    </li>
135     </ul>
136
137    <ul xmlns:ld="http://lambdadelta.info/" id="C5">
138       <li>
139       M.E. Maietti:
140       <span class="emph alpha">Consistency of the minimalist foundation with Church thesis and Bar Induction</span>
141       (2012). Submitted article.
142    </li>
143     </ul>
144
145    <ul xmlns:ld="http://lambdadelta.info/" id="C4">
146       <li>
147       W. Ricciotti:
148       <span class="emph alpha">Theoretical and implementation aspects in the mechanization of the metatheory of programming languages</span>
149       (July 2011). Ph.D. Thesis in Computer Science, Technical Report UBLCS-2011-09, University of Bologna.
150    </li>
151     </ul>
152
153    <ul xmlns:ld="http://lambdadelta.info/" id="C3">
154       <li>
155       C.E. Brown:
156       <span class="emph alpha">Faithful Reproductions of the Automath Landau Formalization</span>
157       (2011). Typescript note.
158    </li>
159     </ul>
160
161    <ul xmlns:ld="http://lambdadelta.info/" id="C2">
162       <li>
163       M.E. Maietti:
164       <span class="emph alpha">A minimalist two-level foundation for constructive mathematics</span>
165       (2009). In APAL 160(3), pp. 319-354.
166    </li>
167     </ul>
168
169    <ul xmlns:ld="http://lambdadelta.info/" id="C1">
170       <li>
171       V. Rahili: 
172       <span class="emph alpha">First Year Report: Realisability methods of proof and semantics with application to expansion</span>
173       (July 2007). Typescript note.
174    </li>
175     </ul>
176
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