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3 <html xmlns="http://www.w3.org/1999/xhtml" xmlns:ld="http://lambdadelta.info/" dir="ltr" lang="en-us"><head><meta http-equiv="Content-Language" content="en-us"/><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/><meta http-equiv="Content-Style-Type" content="text/css"/><meta name="author" content="Ferruccio Guidi"/><meta name="description" content="\lambda\delta home page"/><title>\lambda\delta home page</title><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css"/><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css"/><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css"/><link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico"/></head><body lang="en-US"><div class="spacer"><a href="http://lambdadelta.info/"><img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta home" src="http://lambdadelta.info/images/crux_32.png"/></a></div><div class="head1">The Formal Systems of the λδ (\lambda\delta) Family</div><div class="spacer"><img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns capitalize italic sky"><a href="http://lambdadelta.info/home.html">home</a></td><td class="snns capitalize italic magenta"><a href="http://lambdadelta.info/news.html">news</a></td><td class="snns capitalize italic white"><a href="http://lambdadelta.info/specification.html">specification</a></td><td class="snnn capitalize italic white"><br/></td><td class="snnn capitalize italic white"><br/></td><td class="snns capitalize italic orange"><a href="http://lambdadelta.info/documentation.html">documentation</a></td><td class="snns capitalize italic green"><a href="http://lambdadelta.info/implementation.html">implementation</a></td><td class="ssnn capitalize italic green"><br/></td></tr><tr><td class="snns capitalize sky"><a href="http://lambdadelta.info/home.html#foreword">foreword</a></td><td class="snns capitalize magenta"><a href="http://lambdadelta.info/news.html#milestones">milestones</a></td><td class="snns capitalize white"><a href="http://lambdadelta.info/specification.html#v2">version 2</a></td><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><td class="snnn capitalize white"><br/></td><td class="snns capitalize orange"><a href="http://lambdadelta.info/documentation.html#v2">version 2</a></td><td class="snns capitalize green"><a href="http://lambdadelta.info/implementation.html#helena">helena</a></td><td class="ssnn capitalize green"><a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a></td></tr><tr><td class="snss capitalize sky"><a href="http://lambdadelta.info/home.html#citations">citations</a></td><td class="snss capitalize magenta"><a href="http://lambdadelta.info/news.html#visibility">visibility</a></td><td class="snss capitalize white"><a href="http://lambdadelta.info/specification.html#v1">version 1</a></td><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><td class="snsn capitalize white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td><td class="snss capitalize orange"><a href="http://lambdadelta.info/documentation.html#v1">version 1</a></td><td class="snss capitalize green"><a href="http://lambdadelta.info/implementation.html#lddl">library</a></td><td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td></tr></tbody></table></div><div class="head2dx" id="tools">Tools <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b5.png"/></div><div class="head3sn" id="osn"><a href="http://lambdadelta.info/osn/"><img class="w3c" alt="[Open Symbolic Notation logo]" title="OSN: Open Symbolic Notation" src="http://lambdadelta.info/images/osn_label.png"/></a> Open Symbolic Notation</div><div class="text">
4 Open Symbolic Notation, abbreviated OSN,
5 is an easy and flexible data-interchange text format
6 intended for the lightweight representation of
7 generic abstract syntax trees in the domain of formal languages.
8 Additional information is available at <a href="http://lambdadelta.info/osn/">OSN web site</a>.
9 </div><div class="head3sn" id="helena"><img class="icon32" alt="[Helena logo]" title="Helena" src="http://lambdadelta.info/images/helena_32.png"/> Helena</div><div class="text">
10 Helena is a processor for the systems of the λδ family,
11 implemented in <a href="http://caml.inria.fr/">Caml</a>
12 as a part of the <a href="http://helm.cs.unibo.it/">HELM</a> software,
13 meant for testing both their stable and unstable features.
14 </div><div class="text">
15 The processor source code is available in the directory
16 <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>
17 of the <a href="http://helm.cs.unibo.it/software/index.html">HELM Svn repository</a>.
18 The Svn revisions containing the stable versions of Helena are indicated next.
19 </div><ul id="v3"><li><span class="emph gamma">Version 0.8.3 (2015-12).</span>
20 Supports exportation to λProlog
21 (two formats for ELPI,
22 and two formats for <a href="http://teyjus.cs.umn.edu/">Teyjus</a>).
23 Employs optimized conditional compilation through
24 <a href="http://camlp5.gforge.inria.fr/">camlp5</a> code preprocessor (pa_macro)
25 to reduce a performance loss, which is expected to disappear
26 by employing a different code preprocessor.
27 Overall validation speed of the "Grundlagen der Analysis" with respect to version 0.8.2:
28 +3% with optimized compilation, +5% without optimized compilation.
29 [Svn revision: 13108] (<a href="http://lambdadelta.info/download/helena_0.8.3.tar.gz">archived source code</a>).
30 <ul><li class=""><span class="emph gamma">2015-06.</span>
31 The corrected specification of Landau's "Grundlagen der Analysis"
32 is successfully validated in a λProlog implementation of λδ version 3.
33 </li></ul></li></ul><ul id="v2"><li><span class="emph gamma">Version 0.8.2 (2015-02).</span>
34 Uses λδ version 3 with layer variables as core language.
35 Supports exportation to Gallina
36 (the specification language of <a href="http://coq.inria.fr/">Coq</a>),
38 (the specification language of <a href="http://matita.cs.unibo.it/">Matita</a>).
39 The overall validation speed of the "Grundlagen der Analysis"
40 increases of 34% with respect to version 0.8.1.
41 <a href="http://lambdadelta.info/documentation.html#ldJ3a">Documentation (J3a)</a>.
42 [Svn revision: 13035] (<a href="http://lambdadelta.info/download/helena_0.8.2.tar.gz">archived source code</a>).
44 The specification of Landau's "Grundlagen der Analysis"
45 for <a href="http://coq.inria.fr/">Coq 8</a>:
46 <a href="http://lambdadelta.info/download/grundlagen_2.v">grundlagen_2.v</a>
47 (revised <span class="emph gamma">2015-02</span>).
49 The specification of Landau's "Grundlagen der Analysis"
50 for <a href="http://matita.cs.unibo.it/">Matita 0.99.2</a>:
51 <a href="http://lambdadelta.info/download/grundlagen_2.tar.bz2">grundlagen_2.tar.bz2</a>
52 (revised <span class="emph gamma">2015-02</span>).
54 The corrected specification of Landau's "Grundlagen der Analysis":
55 <a href="http://lambdadelta.info/download/grundlagen_2.aut">grundlagen_2.aut</a>
56 (revised <span class="emph gamma">2014-12</span>).
57 </li><li class=""><span class="emph gamma">2015-02.</span>
58 The translated specification of Landau's "Grundlagen der Analysis"
59 is successfully validated in CC by <a href="http://coq.inria.fr/">Coq 8.4.3</a>.
60 </li><li class=""><span class="emph gamma">2014-12.</span>
61 The corrected specification of Landau's "Grundlagen der Analysis"
62 is successfully validated in λδ version 3.
63 </li></ul></li></ul><ul id="v1"><li><span class="emph beta">Version 0.8.1 (2010-11).</span>
64 Uses a subset of λδ version 4 as intermediate language.
65 Features importation from ".hln" files containing λδ textual syntax.
66 The overall validation speed of the "Grundlagen der Analysis"
67 increases of 22% with respect to version 0.8.0.
68 [Svn revision: 11032] (<a href="http://lambdadelta.info/download/helena_0.8.1.tar.gz">archived source code</a>).
70 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
71 for editing ".hln" files (containing λδ textual syntax):
72 <a href="http://lambdadelta.info/download/helena.sl">helena.sl</a>
73 (revised <span class="emph alpha">2010-11</span>).
74 </li><li class=""><span class="emph beta">2009-12.</span>
75 Helena appears in F. Wiedijk's
76 <a href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">
77 index of computer math systems</a>.
78 </li></ul></li></ul><ul id="v0"><li><span class="emph beta">Version 0.8.0 (2009-09).</span>
79 Supports λδ version 2 with naive implementation of impredicative sort inclusion.
80 Features importation from <a href="http://www.win.tue.nl/automath/">Automath</a>
81 and exportation to <a href="http://www.w3.org/XML/">XML</a>.
82 <a href="http://lambdadelta.info/documentation.html#ldR2a">Documentation (R2a)</a>.
83 [Svn revision: 10304] (<a href="http://lambdadelta.info/download/helena_0.8.0.tar.gz">archived source code</a>).
85 A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
86 for editing ".aut" files
87 (containing <a href="http://www.win.tue.nl/automath/">Automath</a> textual syntax):
88 <a href="http://lambdadelta.info/download/automath.sl">automath.sl</a>
89 (revised <span class="emph gamma">2008-07</span>).
90 </li><li class=""><span class="emph beta">2009-09.</span>
91 Jutting's specification of Landau's "Grundlagen der Analysis"
92 enters λδ Digital Library.
93 </li><li class=""><span class="emph beta">2009-06.</span>
94 Jutting's specification of Landau's "Grundlagen der Analysis"
95 is successfully processed, enabling sort inclusion.
96 </li></ul></li></ul><div class="head3sn" id="lddl"><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><div class="text">
97 The λδ Digital Library is part of <a href="http://helm.cs.unibo.it/">HELM</a>
98 and contains resources expressed in the systems of the λδ family.
99 </div><ul id="contents"><li><span class="emph alpha">Contents:</span>
100 Landau's "Grundlagen der Analysis"
101 (from Jutting's specification in <a href="http://www.win.tue.nl/automath/">Automath</a>).
102 </li></ul><ul id="access"><li><span class="emph alpha">Access:</span><a href="http://lambdadelta.info/static/lddl/">static pages</a> (updated <span class="emph gamma">2015-01</span>),
103 <a href="http://lambdadelta.info/download/lddl.tar.bz2">data set</a> (updated <span class="emph gamma">2014-12</span>),
104 <a href="http://lambdadelta.info/xml/">HELM server URL</a> (updated <span class="emph gamma">2014-12</span>).
105 </li></ul><ul id="examples"><li><span class="emph alpha">Examples:</span><a href="http://lambdadelta.info/static/lddl/Environment/grundlagen_2/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">
106 Grundlagen's definition "t234"</a>
108 </li></ul><div class="spacer"><img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: Thu, 09 Mar 2017 13:38:16 +0100</div></body></html>