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22 <div class="head1">The Formal Systems of the λδ (\lambda\delta) Family</div>
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33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/home.html">home</a>
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37 <a href="http://lambdadelta.info/news.html">news</a>
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40 <a href="http://lambdadelta.info/specification.html">specification</a>
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48 <td class="snns capitalize italic orange">
49 <a href="http://lambdadelta.info/documentation.html">documentation</a>
51 <td class="snns capitalize italic green">
52 <a href="http://lambdadelta.info/implementation.html">implementation</a>
54 <td class="ssnn capitalize italic green">
59 <td class="snns capitalize sky">
60 <a href="http://lambdadelta.info/home.html#foreword">foreword</a>
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63 <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
65 <td class="snns capitalize white">
66 <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
68 <td class="snnn capitalize white">(<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>
69 <td class="snnn capitalize white">
72 <td class="snns capitalize orange">
73 <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
75 <td class="snns capitalize green">
76 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
78 <td class="ssnn capitalize green">
79 <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
83 <td class="snss capitalize sky">
84 <a href="http://lambdadelta.info/home.html#citations">citations</a>
86 <td class="snss capitalize magenta">
87 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
89 <td class="snss capitalize white">
90 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
92 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
93 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
94 <td class="snss capitalize orange">
95 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
97 <td class="snss capitalize green">
98 <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
100 <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
105 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="tools">Tools <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b5.png" />
107 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="osn">
108 <a href="http://lambdadelta.info/osn/">
109 <img class="w3c" alt="[Open Symbolic Notation logo]" title="OSN: Open Symbolic Notation" src="http://lambdadelta.info/images/osn_label.png" />
110 </a> Open Symbolic Notation</div>
111 <div xmlns:ld="http://lambdadelta.info/" class="text">
112 Open Symbolic Notation, abbreviated OSN,
113 is an easy and flexible data-interchange text format
114 intended for the lightweight representation of
115 generic abstract syntax trees in the domain of formal languages.
116 Additional information is available at <a href="http://lambdadelta.info/osn/">OSN web site</a>.
118 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="helena">
119 <img class="icon32" alt="[Helena logo]" title="Helena" src="http://lambdadelta.info/images/helena_32.png" /> Helena</div>
120 <div xmlns:ld="http://lambdadelta.info/" class="text">
121 Helena is a processor for the systems of the λδ family,
122 implemented in <a href="http://caml.inria.fr/">Caml</a>
123 as a part of the <a href="http://helm.cs.unibo.it/">HELM</a> software,
124 meant for testing both their stable and unstable features.
126 <div xmlns:ld="http://lambdadelta.info/" class="text">
127 The processor source code is available in the directory
128 <a href="http://helm.cs.unibo.it/websvn/listing.php?repname=helm&path=%2Ftrunk%2Fhelm%2Fsoftware%2Fhelena%2F&rev=0&sc=0">/trunk/helm/software/helena/</a>
129 of the <a href="http://helm.cs.unibo.it/software/index.html">HELM Svn repository</a>.
130 The Svn revisions containing the stable versions of Helena are indicated next.
132 <ul xmlns:ld="http://lambdadelta.info/" id="v3">
134 <span class="emph gamma">Version 0.8.3 (2015-12).</span>
135 Supports exportation to λProlog
136 (two formats for ELPI,
137 and two formats for <a href="http://teyjus.cs.umn.edu/">Teyjus</a>).
138 Employs optimized conditional compilation through
139 <a href="http://camlp5.gforge.inria.fr/">camlp5</a> code preprocessor (pa_macro)
140 to reduce a performance loss, which is expected to disappear
141 by employing a different code preprocessor.
142 Overall validation speed of the "Grundlagen der Analysis" with respect to version 0.8.2:
143 +3% with optimized compilation, +5% without optimized compilation.
144 [Svn revision: 13108] (<a href="http://lambdadelta.info/download/helena_0.8.3.tar.gz">archived source code</a>).
147 <span class="emph gamma">2015-06.</span>
148 The corrected specification of Landau's "Grundlagen der Analysis"
149 is successfully validated in a λProlog implementation of λδ version 3.
154 <ul xmlns:ld="http://lambdadelta.info/" id="v2">
156 <span class="emph gamma">Version 0.8.2 (2015-02).</span>
157 Uses λδ version 3 with layer variables as core language.
158 Supports exportation to Gallina
159 (the specification language of <a href="http://coq.inria.fr/">Coq</a>),
161 (the specification language of <a href="http://matita.cs.unibo.it/">Matita</a>).
162 The overall validation speed of the "Grundlagen der Analysis"
163 increases of 34% with respect to version 0.8.1.
164 <a href="http://lambdadelta.info/documentation.html#ldJ3a">Documentation (J3a)</a>.
165 [Svn revision: 13035] (<a href="http://lambdadelta.info/download/helena_0.8.2.tar.gz">archived source code</a>).
168 The specification of Landau's "Grundlagen der Analysis"
169 for <a href="http://coq.inria.fr/">Coq 8</a>:
170 <a href="http://lambdadelta.info/download/grundlagen_2.v">grundlagen_2.v</a>
171 (revised <span class="emph gamma">2015-02</span>).
174 The specification of Landau's "Grundlagen der Analysis"
175 for <a href="http://matita.cs.unibo.it/">Matita 0.99.2</a>:
176 <a href="http://lambdadelta.info/download/grundlagen_2.tar.bz2">grundlagen_2.tar.bz2</a>
177 (revised <span class="emph gamma">2015-02</span>).
180 The corrected specification of Landau's "Grundlagen der Analysis":
181 <a href="http://lambdadelta.info/download/grundlagen_2.aut">grundlagen_2.aut</a>
182 (revised <span class="emph gamma">2014-12</span>).
185 <span class="emph gamma">2015-02.</span>
186 The translated specification of Landau's "Grundlagen der Analysis"
187 is successfully validated in CC by <a href="http://coq.inria.fr/">Coq 8.4.3</a>.
190 <span class="emph gamma">2014-12.</span>
191 The corrected specification of Landau's "Grundlagen der Analysis"
192 is successfully validated in λδ version 3.
197 <ul xmlns:ld="http://lambdadelta.info/" id="v1">
199 <span class="emph beta">Version 0.8.1 (2010-11).</span>
200 Uses a subset of λδ version 4 as intermediate language.
201 Features importation from ".hln" files containing λδ textual syntax.
202 The overall validation speed of the "Grundlagen der Analysis"
203 increases of 22% with respect to version 0.8.0.
204 [Svn revision: 11032] (<a href="http://lambdadelta.info/download/helena_0.8.1.tar.gz">archived source code</a>).
207 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
208 for editing ".hln" files (containing λδ textual syntax):
209 <a href="http://lambdadelta.info/download/helena.sl">helena.sl</a>
210 (revised <span class="emph alpha">2010-11</span>).
213 <span class="emph beta">2009-12.</span>
214 Helena appears in F. Wiedijk's
215 <a href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">
216 index of computer math systems</a>.
221 <ul xmlns:ld="http://lambdadelta.info/" id="v0">
223 <span class="emph beta">Version 0.8.0 (2009-09).</span>
224 Supports λδ version 2 with naive implementation of impredicative sort inclusion.
225 Features importation from <a href="http://www.win.tue.nl/automath/">Automath</a>
226 and exportation to <a href="http://www.w3.org/XML/">XML</a>.
227 <a href="http://lambdadelta.info/documentation.html#ldR2a">Documentation (R2a)</a>.
228 [Svn revision: 10304] (<a href="http://lambdadelta.info/download/helena_0.8.0.tar.gz">archived source code</a>).
231 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
232 for editing ".aut" files
233 (containing <a href="http://www.win.tue.nl/automath/">Automath</a> textual syntax):
234 <a href="http://lambdadelta.info/download/automath.sl">automath.sl</a>
235 (revised <span class="emph gamma">2008-07</span>).
238 <span class="emph beta">2009-09.</span>
239 Jutting's specification of Landau's "Grundlagen der Analysis"
240 enters λδ Digital Library.
243 <span class="emph beta">2009-06.</span>
244 Jutting's specification of Landau's "Grundlagen der Analysis"
245 is successfully processed, enabling sort inclusion.
250 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="lddl">
251 <img class="icon32" alt="[\lambda\delta digital library logo]" title="LDDL: \lambda\delta digital library" src="http://lambdadelta.info/images/crux_32.png" /> λδ Digital Library (LDDL)</div>
252 <div xmlns:ld="http://lambdadelta.info/" class="text">
253 The λδ Digital Library is part of <a href="http://helm.cs.unibo.it/">HELM</a>
254 and contains resources expressed in the systems of the λδ family.
256 <ul xmlns:ld="http://lambdadelta.info/" id="contents">
258 <span class="emph alpha">Contents:</span>
259 Landau's "Grundlagen der Analysis"
260 (from Jutting's specification in <a href="http://www.win.tue.nl/automath/">Automath</a>).
263 <ul xmlns:ld="http://lambdadelta.info/" id="access">
265 <span class="emph alpha">Access:</span>
266 <a href="http://lambdadelta.info/static/lddl/">static pages</a> (updated <span class="emph gamma">2015-01</span>),
267 <a href="http://lambdadelta.info/download/lddl.tar.bz2">data set</a> (updated <span class="emph gamma">2014-12</span>),
268 <a href="http://lambdadelta.info/xml/">HELM server URL</a> (updated <span class="emph gamma">2014-12</span>).
271 <ul xmlns:ld="http://lambdadelta.info/" id="examples">
273 <span class="emph alpha">Examples:</span>
274 <a href="http://lambdadelta.info/static/lddl/Environment/grundlagen_2/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">
275 Grundlagen's definition "t234"</a>
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305 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 05 Apr 2017 18:05:15 +0200</div>