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<meta content="Ferruccio Guidi" name="author">
- <meta content="The formal system lambdadelta" name="description">
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+ <meta content="The formal system λδ" name="description">
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<div style="text-align: center;">
<br>
- <a href="http://lambdadelta.info"><img alt="[Crux Logo]"
- title="The Crux" src="download/crux_32.png" style="border: 0px
- solid ; width: 32px; height: 32px;"></a>
- <h1>The Formal System λδ (lambdadelta)<br>
+ <a href="http://lambdadelta.info/"><img alt="[Crux Logo]" title="The Crux" src="images/crux_32.png" style="border: 0px solid ; width: 32px; height: 32px;"></a>
+ <h1>The Formal System λδ (\lambda\delta)<br>
</h1>
<h2>Towards the unification of terms, types, environments and
contexts</h2>
- <img style="width: 95%; height: 4px;" alt="[Separator]"
- title="Separator" src="download/rainbow.png"><br>
- <table style="text-align: left; width: 95%; margin-left: auto;
- margin-right: auto;" border="0" cellpadding="2" cellspacing="20">
+ <img style="width: 95%; height: 4px;" alt="[Separator]" title="Separator" src="images/rainbow.png"><br>
+ <table style="text-align: left; width: 95%; margin-left: auto; margin-right: auto;" border="0" cellpadding="2" cellspacing="20">
<tbody>
<tr>
<td style="vertical-align: top;">
</td>
<td style="vertical-align: top; text-align: left;">
<h3 style="text-align: right;">Computer-checked formal
- specifications <img style="width: 37px; height: 37px;"
- alt="[Butterfly]" title="Butterfly"
- src="download/b9.png"></h3>
+ specifications <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b9.png"></h3>
<span style="font-weight: bold;">Resource
- 1</span> below provides for the statically generated <span
- style="font-weight: bold;">natural language
+ 1</span> below provides for the statically generated <span style="font-weight: bold;">natural language
representation</span> of
λδ meta-theory (faster rendering w.r.t. resource 2 below).<br>
<span style="font-weight: bold;">Resource 2</span> below
provides
- for the dynamically generated <span style="font-weight:
- bold;">natural
+ for the dynamically generated <span style="font-weight: bold;">natural
language representation</span> of
- λδ meta-theory (powered by the <a
- href="http://helm.cs.unibo.it/">HELM</a>
+ λδ meta-theory (powered by the <a href="http://helm.cs.unibo.it/">HELM</a>
rendering engine).<br>
Remarkably, λδ was born and developed in the digital
format of <span style="font-weight: bold;">resource 3</span>
paper (as it happens for most currently digitalized
Mathematics).<br>
<ol>
- <li><a name="static"></a>F. Guidi: <a
- style="font-style: italic;"
- href="static/matita/lambdadelta/">lambdadelta</a>
+ <li><a name="static"></a>F. Guidi: <a style="font-style: italic;" href="static/matita/lambdadelta/">lambdadelta</a>
(revised <span style="font-weight: bold;">2011-09</span>).
Formal
- specification for <a
- href="http://matita.cs.unibo.it/">Matita</a> 0.5
+ specification for <a href="http://matita.cs.unibo.it/">Matita</a> 0.5
(HTML pages generated
by the <a href="http://helm.cs.unibo.it/">HELM</a>
rendering engine)<br>
Here are the most relevant theorems proved in the
formal specification:
<ul>
- <li><a
-href="static/matita/lambdadelta/Basic_1/pr3/pr3/pr3_confluence.con.html">Confluence
+ <li><a href="static/matita/lambdadelta/Basic_1/pr3/pr3/pr3_confluence.con.html">Confluence
of
reduction</a> (Church-Rosser property).</li>
- <li><a
- href="static/matita/lambdadelta/Basic_1/ty3/props/ty3_correct.con.html">Correctness
+ <li><a href="static/matita/lambdadelta/Basic_1/ty3/props/ty3_correct.con.html">Correctness
of
types</a>.</li>
- <li><a
- href="static/matita/lambdadelta/Basic_1/ty3/props/ty3_unique.con.html">Uniqueness
+ <li><a href="static/matita/lambdadelta/Basic_1/ty3/props/ty3_unique.con.html">Uniqueness
of
types
up
to
conversion</a>.<br>
</li>
- <li><a
- href="static/matita/lambdadelta/Basic_1/ty3/pr3/ty3_sred_pr3.con.html">Subject
+ <li><a href="static/matita/lambdadelta/Basic_1/ty3/pr3/ty3_sred_pr3.con.html">Subject
reduction
of
the
type
assignment</a>.</li>
- <li><a
-href="static/matita/lambdadelta/Basic_1/ty3/arity_props/ty3_sn3.con.html">Strong
+ <li><a href="static/matita/lambdadelta/Basic_1/ty3/arity_props/ty3_sn3.con.html">Strong
normalization
of
the
typed
terms</a>.</li>
- <li><a
- href="static/matita/lambdadelta/Basic_1/ty3/dec/ty3_inference.con.html">Decidability
+ <li><a href="static/matita/lambdadelta/Basic_1/ty3/dec/ty3_inference.con.html">Decidability
of
the
type
</li>
</ul>
</li>
- <li><a name="dynamic"></a>F. Guidi: <a
- style="font-style: italic;"
-href="http://mowgli.cs.unibo.it:58080/apply?keys=RT&xmluri=http://helm.cs.unibo.it/helm//html/folder/index.html&prop.media-type=text/html&param.thmedia-type=text/html&param.thkeys=T1%2CT2%2CL%2CE&param.embedkeys=d_c%2CTC1%2CHC2%2CL&param.thencoding=UTF-8&prop.encoding=UTF-8&prop.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&param.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&param.encoding=UTF-8&param.media-type=text/html&param.keys=d_c%2CC1%2CHC2%2CL&profile=default&param.profile=default&param.CICURI=theory:/matita/lambdadelta/">lambdadelta</a>
+ <li><a name="dynamic"></a>F. Guidi: <a style="font-style: italic;" href="http://mowgli.cs.unibo.it:58080/apply?keys=RT&xmluri=http://helm.cs.unibo.it/helm//html/folder/index.html&prop.media-type=text/html&param.thmedia-type=text/html&param.thkeys=T1%2CT2%2CL%2CE&param.embedkeys=d_c%2CTC1%2CHC2%2CL&param.thencoding=UTF-8&prop.encoding=UTF-8&prop.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&param.doctype-public=-//W3C//DTD%20XHTML%201.0%20Transitional//EN&param.encoding=UTF-8&param.media-type=text/html&param.keys=d_c%2CC1%2CHC2%2CL&profile=default&param.profile=default&param.CICURI=theory:/matita/lambdadelta/">lambdadelta</a>
(revised <span style="font-weight: bold;">2011-09</span>).
Formal
- specification for <a
- href="http://matita.cs.unibo.it/">Matita</a> 0.5 (<a
- href="http://helm.cs.unibo.it/">HELM</a> directory).<br>
+ specification for <a href="http://matita.cs.unibo.it/">Matita</a> 0.5 (<a href="http://helm.cs.unibo.it/">HELM</a> directory).<br>
<br>
</li>
- <li><a name="ldp1"></a>F. Guidi: <a
- href="download/lambdadelta_1.tar.gz"><span
- style="font-style: italic;">lambdadelta_1</span></a>
- (revised <span style="font-weight: bold;">2011-09</span>).
+ <li><a name="ldp1"></a>F. Guidi: <a href="download/lambdadelta_1.tar.gz"><span style="font-style: italic;">lambdadelta_1</span></a>
+ (revised <span style="font-weight: bold;">2012-10</span>).
Formal
specification for <span style="font-weight: bold;">Coq
7.3.1</span>
proof scripts). <a href="#bibtex">BibTeX entry</a>.<br>
</li>
</ol>
- <h3 style="text-align: right;">Tools <img style="width:
- 37px; height: 37px;" alt="[Butterfly]"
- title="Butterfly" src="download/b5.png"></h3>
- <a name="lddl"></a><img style="width: 32px; height: 32px;"
- alt="[Crux Logo]" title="The Crux"
- src="download/crux_32.png"><span style="font-weight:
- bold;"> </span>The <span style="font-weight: bold;"><span
- style="text-decoration: underline;">λδ
+ <h3 style="text-align: right;">Tools <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b5.png"></h3>
+ <a name="lddl"></a><img style="width: 32px; height: 32px;" alt="[Crux Logo]" title="The Crux" src="images/crux_32.png"><span style="font-weight: bold;"> </span>The <span style="font-weight: bold;"><span style="text-decoration: underline;">λδ
Digital
Library
- (LDDL)</span></span> is part of <a
- href="http://helm.cs.unibo.it/">HELM</a>
+ (LDDL)</span></span> is part of <a href="http://helm.cs.unibo.it/">HELM</a>
and contains a set of
resources expressed in λδ.<br>
<ul>
<li><span style="font-weight: bold;">Contents:</span>
Landau's "<span style="font-style: italic;">Grundlagen
der Analysis</span>" (from
- Jutting's specification in <a
- href="http://www.win.tue.nl/automath/">Automath</a>).<br>
+ Jutting's specification in <a href="http://www.win.tue.nl/automath/">Automath</a>).<br>
<span style="font-weight: bold;"></span></li>
</ul>
<ul>
<li><span style="font-weight: bold;">Access:</span> <a
- href="static/lddl/">static pages</a> (updated <span
- style="font-weight: bold;">2011-09</span>), <a
- href="download/lddl.tar.bz2">data set</a> (updated <span
- style="font-weight: bold;">2011-09</span>), <a
- href="http://lambdadelta.info/xml">HELM server URL</a>
- (updated <span style="font-weight: bold;">2011-09</span>).</li>
+href="static/lddl/">static pages</a> (updated <span style="font-weight: bold;">2012-10</span>), <a href="download/lddl.tar.bz2">data set</a> (updated <span style="font-weight: bold;">2012-10</span>), <a href="http://lambdadelta.info/xml/">HELM server URL</a>
+ (updated <span style="font-weight: bold;">2012-10</span>).</li>
</ul>
<ul>
- <li><span style="font-weight: bold;">Examples:</span> <a
-href="static/lddl/brg_si/grundlagen/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">Grundlagen's
+ <li><span style="font-weight: bold;">Examples:</span> <a href="static/lddl/brg_si/grundlagen/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">Grundlagen's
definition
- "t234"</a> (in "basic_rg" λδ), <a
-href="static/lddl/crg_si/grundlagen/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">Grundlagen's
+ "t234"</a> (in "basic_rg" λδ), <a href="static/lddl/crg_si/grundlagen/l/e/st/eq/landau/n/rt/rp/r/c/8283/t234.ld.html">Grundlagen's
definition
"t234"</a> (in "complete_rg" λδ).<br>
</li>
</ul>
<br>
- <a name="helena"></a><span style="font-weight: bold;"><img
- style="width: 32px; height: 32px;" alt="[Helena Logo]"
- title="Helena" src="download/helena_32.png"> <span
- style="text-decoration: underline;">Helena</span></span>
+ <a name="helena"></a><span style="font-weight: bold;"><img style="width: 32px; height: 32px;" alt="[Helena Logo]" title="Helena" src="images/helena_32.png"> <span style="text-decoration: underline;">Helena</span></span>
is a λδ
processor,
implemented in <a href="http://caml.inria.fr/">Caml</a>
testing the stable features of the calculus as well as the
unstable
ones.<br>
- The processor source code is available in the directory <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>
- of the <a
- href="http://helm.cs.unibo.it/software/index.html">HELM
+ The processor source code is available in the directory <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>
+ of the <a href="http://helm.cs.unibo.it/software/index.html">HELM
Svn
repository</a>. The Svn revisions containing the stable
versions
intermediate language.
Features importation from ".hln" files containing λδ
textual syntax.
- The overall validation speed of the "<span
- style="font-style: italic;">Grundlagen
+ The overall validation speed of the "<span style="font-style: italic;">Grundlagen
der
Analysis</span>" increases of 22% with respect to
version 0.8.0. [Svn
- revision: 11032] (<a
- href="download/helena_0.8.1.tar.gz">archived
+ revision: 11032] (<a href="download/helena_0.8.1.tar.gz">archived
source code</a>)
<ul>
<li><span style="font-weight: bold;">2009-12.</span>
Helena
- appears in F. Wiedijk's <a
- href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">index
+ appears in F. Wiedijk's <a href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">index
of
computer
math systems</a>.</li>
</li>
</ul>
<ul>
- <li><a style=" font-weight: bold;"
- href="documentation.html#ldp6">Version 0.8.0</a><span
- style="font-weight: bold;"> (2009-09).</span>
+ <li><a style="font-weight: bold;" href="documentation.html#ldp6">Version 0.8.0</a><span style="font-weight: bold;"> (2009-09).</span>
Supports
"basic_rg" λδ with naive implementation of
impredicative sort
inclusion. Features
- importation from <a
- href="http://www.win.tue.nl/automath/">Automath</a>
+ importation from <a href="http://www.win.tue.nl/automath/">Automath</a>
and exportation to <a href="http://www.w3.org/XML/">XML</a>.
[Svn
- revision: 10304] (<a
- href="download/helena_0.8.0.tar.gz">archived
+ revision: 10304] (<a href="download/helena_0.8.0.tar.gz">archived
source code</a>)<br>
<ul>
<li><span style="font-weight: bold;">2009-09.</span>
- Jutting's specification of Landau's "<span
- style="font-style: italic;">Grundlagen
+ Jutting's specification of Landau's "<span style="font-style: italic;">Grundlagen
der
Analysis</span>" enters λδ Digital Library.<br>
<span style="font-weight: bold;"></span></li>
<li><span style="font-weight: bold;">2009-06.</span>
- Jutting's specification of Landau's "<span
- style="font-style: italic;">Grundlagen
+ Jutting's specification of Landau's "<span style="font-style: italic;">Grundlagen
der
Analysis</span>" is
- successfully processed, enabling sort inclusion<span
- style="font-weight: bold;"></span>.</li>
+ successfully processed, enabling sort inclusion<span style="font-weight: bold;"></span>.</li>
</ul>
</li>
</ul>
- <h3 style="text-align: right;">Other resources <img
- style="width: 37px; height: 37px;" alt="[Butterfly]"
- title="Butterfly" src="download/b4.png"></h3>
+ <h3 style="text-align: right;">Other resources <img style="width: 37px; height: 37px;" alt="[Butterfly]" title="Butterfly" src="images/b4.png"></h3>
<ul>
<li><a name="bibtex"></a>A
- BibTeX database of λδ documentation: <a
- href="download/lambdadelta.bib"><span
- style="font-style: italic;">lambdadelta.bib</span></a>,
- <a style="font-style: italic;"
- href="download/lambdadelta.txt">lambdadelta.txt</a>
- (revised <span style="font-weight: bold;">2011-09</span>).</li>
+ BibTeX database of λδ documentation: <a href="download/lambdadelta.bib"><span style="font-style: italic;">lambdadelta.bib</span></a>,
+ <a style="font-style: italic;" href="download/lambdadelta.txt">lambdadelta.txt</a>
+ (revised <span style="font-weight: bold;">2012-10</span>).</li>
</ul>
<ul>
<li>A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
for
- editing ".hln" files (containing λδ textual syntax): <a
- style="font-style: italic;"
- href="download/helena.sl">helena.sl</a>
+ editing ".hln" files (containing λδ textual syntax): <a style="font-style: italic;" href="download/helena.sl">helena.sl</a>
(revised <span style="font-weight: bold;">2010-11</span>).</li>
</ul>
<ul>
<li>A <a href="http://www.jedsoft.org/jed/">Jed mode</a>
for
- editing ".aut" files (containing <a
- href="http://www.win.tue.nl/automath/">Automath</a>
- textual syntax): <a style="font-style: italic;"
- href="download/automath.sl">automath.sl</a>
+ editing ".aut" files (containing <a href="http://www.win.tue.nl/automath/">Automath</a>
+ textual syntax): <a style="font-style: italic;" href="download/automath.sl">automath.sl</a>
(revised <span style="font-weight: bold;">2008-07</span>).</li>
</ul>
<ul>
- <li>A logo for λδ: <a href="images/crux_177.png"><span
- style="font-style: italic;">crux_177.png</span></a>
+ <li>A logo for λδ: <a href="images/crux_177.png"><span style="font-style: italic;">crux_177.png</span></a>
(revised <span style="font-weight: bold;">2012-09</span>).<br>
</li>
</ul>
</tbody>
</table>
<br>
- <a href="http://validator.w3.org/check?uri=referer"><img
- alt="[Valid HTML 4.01 Transitional]" title="Valid HTML 4.01
- Transitional" src="http://www.w3.org/Icons/valid-html401"
- style="border: 0px solid ; width: 88px; height: 31px;"></a> <a
- href="http://www.anybrowser.org/campaign/"><img alt="[Use Any
- Browser Here]" title="Use Any Browser Here"
- src="download/globe_trans.png" style="border: 0px solid ;
- width: 147px; height: 42px;"></a> <img style="width: 88px;
- height: 31px;" alt="[PNG Used Here]" title="PNG Used Here"
- src="download/PNGnow2.png"><br>
+ <a href="http://validator.w3.org/check?uri=referer"><img alt="[Valid HTML 4.01 Transitional]" title="Valid HTML 4.01
+ Transitional" src="http://www.w3.org/Icons/valid-html401" style="border: 0px solid ; width: 88px; height: 31px;"></a> <a href="http://www.anybrowser.org/campaign/"><img alt="[Use Any
+ Browser Here]" title="Use Any Browser Here" src="images/globe_trans.png" style="border: 0px solid ; width: 147px; height: 42px;"></a> <img style="width: 88px; height: 31px;" alt="[PNG Used Here]" title="PNG Used Here" src="images/PNGnow2.png"><br>
<br>
- Last update 2012-12-01 by <a
- href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
+ Last update 2012-12-02 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
Guidi</a><br>
</div>
- </body>
-</html>
+
+</body></html>
projects / helm.git / blobdiff