1 <?xml version="1.0" encoding="UTF-8"?>
2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
3 <html xmlns="http://www.w3.org/1999/xhtml" dir="ltr" lang="en-us">
5 <meta http-equiv="Content-Language" content="en-us" />
6 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
7 <meta http-equiv="Content-Style-Type" content="text/css" />
8 <meta name="author" content="Ferruccio Guidi" />
9 <meta name="description" content="\lambda\delta home page" />
10 <title>\lambda\delta home page</title>
11 <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
12 <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
13 <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
14 <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
18 <a href="http://lambdadelta.info/">
19 <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
22 <div class="head1">The Formal Systems of the λδ (\lambda\delta) Family</div>
24 <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
26 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
29 <div xmlns:ld="http://lambdadelta.info/" class="text">
30 <table cellpadding="4" cellspacing="0">
33 <td class="snns capitalize italic sky">
34 <a href="http://lambdadelta.info/index.html">home</a>
36 <td class="snns capitalize italic magenta">
37 <a href="http://lambdadelta.info/news.html">news</a>
39 <td class="snns capitalize italic white">
40 <a href="http://lambdadelta.info/specification.html">specification</a>
42 <td class="snnn capitalize italic white">
45 <td class="snnn capitalize italic white">
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/index.html#foreword">foreword</a>
62 <td class="snns capitalize magenta">
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#lddl">library</a>
78 <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
81 <td class="snss capitalize sky">
82 <a href="http://lambdadelta.info/index.html#citations">citations</a>
84 <td class="snss capitalize magenta">
85 <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
87 <td class="snss capitalize white">
88 <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
90 <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>
91 <td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
92 <td class="snss capitalize orange">
93 <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
95 <td class="snss capitalize green">
96 <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
98 <td class="sssn capitalize green">
105 <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="tools">Tools <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b5.png" />
107 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="lddl">
108 <img class="icon32" alt="[Crux logo]" title="the Crux" src="http://lambdadelta.info/images/crux_32.png" /> λδ Digital Library (LDDL)</div>
109 <div xmlns:ld="http://lambdadelta.info/" class="text">
110 The λδ Digital Library is part of <a href="http://helm.cs.unibo.it/">HELM</a>
111 and contains resources expressed in the systems of the λδ family.
113 <ul xmlns:ld="http://lambdadelta.info/" id="contents">
115 <span class="emph alpha">Contents:</span>
116 Landau's "Grundlagen der Analysis"
117 (from Jutting's specification in <a href="http://www.win.tue.nl/automath/">Automath</a>).
120 <ul xmlns:ld="http://lambdadelta.info/" id="access">
122 <span class="emph alpha">Access:</span>
123 <a href="http://lambdadelta.info/static/lddl/">static pages</a> (updated <span class="emph gamma">2015-01</span>),
124 <a href="http://lambdadelta.info/download/lddl.tar.bz2">data set</a> (updated <span class="emph gamma">2014-12</span>),
125 <a href="http://lambdadelta.info/xml/">HELM server URL</a> (updated <span class="emph gamma">2014-12</span>).
128 <ul xmlns:ld="http://lambdadelta.info/" id="examples">
130 <span class="emph alpha">Examples:</span>
131 <a href="http://lambdadelta.info/static/lddl/Environment/grundlagen_2/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">
132 Grundlagen's definition "t234"</a>
136 <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="helena">
137 <img class="icon32" alt="[Helena logo]" title="Helena" src="http://lambdadelta.info/images/helena_32.png" /> Helena</div>
138 <div xmlns:ld="http://lambdadelta.info/" class="text">
139 Helena is a processor for the systems of the λδ family,
140 implemented in <a href="http://caml.inria.fr/">Caml</a>
141 as a part of the <a href="http://helm.cs.unibo.it/">HELM</a> software,
142 meant for testing both their stable and unstable features.
144 <div xmlns:ld="http://lambdadelta.info/" class="text">
145 The processor source code is available in the directory
146 <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>
147 of the <a href="http://helm.cs.unibo.it/software/index.html">HELM Svn repository</a>.
148 The Svn revisions containing the stable versions of Helena are indicated next.
150 <ul xmlns:ld="http://lambdadelta.info/" id="v3">
152 <span class="emph gamma">Version 0.8.3 (2015-12).</span>
153 Supports exportation to λProlog
154 (two formats for ELPI,
155 and two formats for <a href="http://teyjus.cs.umn.edu/">Teyjus</a>).
156 Employs optimized conditional compilation through
157 <a href="http://camlp5.gforge.inria.fr/">camlp5</a> code preprocessor (pa_macro)
158 to reduce a performance loss, which is expected to disappear
159 by employing a different code preprocessor.
160 Overall validation speed of the "Grundlagen der Analysis" with respect to version 0.8.2:
161 +3% with optimized compilation, +5% without optimized compilation.
162 [Svn revision: 13108] (<a href="http://lambdadelta.info/download/helena_0.8.3.tar.gz">archived source code</a>).
165 <span class="emph gamma">2015-06.</span>
166 The corrected specification of Landau's "Grundlagen der Analysis"
167 is successfully validated in a λProlog implementation of λδ version 3.
172 <ul xmlns:ld="http://lambdadelta.info/" id="v2">
174 <span class="emph gamma">Version 0.8.2 (2015-02).</span>
175 Uses λδ version 3 with layer variables as core language.
176 Supports exportation to Gallina
177 (the specification language of <a href="http://coq.inria.fr/">Coq</a>),
179 (the specification language of <a href="http://matita.cs.unibo.it/">Matita</a>).
180 The overall validation speed of the "Grundlagen der Analysis"
181 increases of 34% with respect to version 0.8.1.
182 <a href="http://lambdadelta.info/documentation.html#ldJ3a">Documentation (J3a)</a>.
183 [Svn revision: 13035] (<a href="http://lambdadelta.info/download/helena_0.8.2.tar.gz">archived source code</a>).
186 The specification of Landau's "Grundlagen der Analysis"
187 for <a href="http://coq.inria.fr/">Coq 8</a>:
188 <a href="http://lambdadelta.info/download/grundlagen_2.v">grundlagen_2.v</a>
189 (revised <span class="emph gamma">2015-02</span>).
192 The specification of Landau's "Grundlagen der Analysis"
193 for <a href="http://matita.cs.unibo.it/">Matita 0.99.2</a>:
194 <a href="http://lambdadelta.info/download/grundlagen_2.tar.bz2">grundlagen_2.tar.bz2</a>
195 (revised <span class="emph gamma">2015-02</span>).
198 The corrected specification of Landau's "Grundlagen der Analysis":
199 <a href="http://lambdadelta.info/download/grundlagen_2.aut">grundlagen_2.aut</a>
200 (revised <span class="emph gamma">2014-12</span>).
203 <span class="emph gamma">2015-02.</span>
204 The translated specification of Landau's "Grundlagen der Analysis"
205 is successfully validated in CC by <a href="http://coq.inria.fr/">Coq 8.4.3</a>.
208 <span class="emph gamma">2014-12.</span>
209 The corrected specification of Landau's "Grundlagen der Analysis"
210 is successfully validated in λδ version 3.
215 <ul xmlns:ld="http://lambdadelta.info/" id="v1">
217 <span class="emph beta">Version 0.8.1 (2010-11).</span>
218 Uses a subset of λδ version 4 as intermediate language.
219 Features importation from ".hln" files containing λδ textual syntax.
220 The overall validation speed of the "Grundlagen der Analysis"
221 increases of 22% with respect to version 0.8.0.
222 [Svn revision: 11032] (<a href="http://lambdadelta.info/download/helena_0.8.1.tar.gz">archived source code</a>).
225 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
226 for editing ".hln" files (containing λδ textual syntax):
227 <a href="http://lambdadelta.info/download/helena.sl">helena.sl</a>
228 (revised <span class="emph alpha">2010-11</span>).
231 <span class="emph beta">2009-12.</span>
232 Helena appears in F. Wiedijk's
233 <a href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">
234 index of computer math systems</a>.
239 <ul xmlns:ld="http://lambdadelta.info/" id="v0">
241 <span class="emph beta">Version 0.8.0 (2009-09).</span>
242 Supports λδ version 2 with naive implementation of impredicative sort inclusion.
243 Features importation from <a href="http://www.win.tue.nl/automath/">Automath</a>
244 and exportation to <a href="http://www.w3.org/XML/">XML</a>.
245 <a href="http://lambdadelta.info/documentation.html#ldR2a">Documentation (R2a)</a>.
246 [Svn revision: 10304] (<a href="http://lambdadelta.info/download/helena_0.8.0.tar.gz">archived source code</a>).
249 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
250 for editing ".aut" files
251 (containing <a href="http://www.win.tue.nl/automath/">Automath</a> textual syntax):
252 <a href="http://lambdadelta.info/download/automath.sl">automath.sl</a>
253 (revised <span class="emph gamma">2008-07</span>).
256 <span class="emph beta">2009-09.</span>
257 Jutting's specification of Landau's "Grundlagen der Analysis"
258 enters λδ Digital Library.
261 <span class="emph beta">2009-06.</span>
262 Jutting's specification of Landau's "Grundlagen der Analysis"
263 is successfully processed, enabling sort inclusion.
269 <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
271 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
274 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
275 <a href="http://validator.w3.org/check?uri=referer">
276 <img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue" />
278 <a href="http://jigsaw.w3.org/css-validator/check/referer">
279 <img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue" />
281 <a href="http://www.w3.org/XML/">
282 <img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png" />
284 <a href="http://www.w3.org/Graphics/PNG/">
285 <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
287 <a href="http://www.anybrowser.org/campaign/">
288 <img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png" />
291 <div xmlns:ld="http://lambdadelta.info/" class="spacer">
294 <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 27 Mar 2016 18:42:29 +0200</div>