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- <title>lambda-delta home page</title>
+ <title>lambda_delta home page</title>
<meta content="Ferruccio Guidi" name="author">
- <meta content="The formal system lambda-delta" name="description">
+ <meta content="The formal system lambda_delta" name="description">
<link rel="shortcut icon" href="download/crux_16.ico">
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<a href="http://lambda-delta.info"><img alt="[Crux Logo]"
title="The Crux" src="download/crux_32.png"
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-<h1>The Formal System λδ (lambda-delta)<br>
+<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]"
language representation</span> of
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
+Remarkably, λδ was born and developed in the digital format of <span
style="font-weight: bold;">resource 3</span> below, which is not the
formal counterpart of some informal material previously written on
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/LAMBDA-TYPES/">LAMBDA-TYPES</a>
-(revised <span style="font-weight: bold;">2008-06</span>). Formal
+ style="font-style: italic;" href="static/matita/lambda_delta/">lambda_delta</a>
+(revised <span style="font-weight: bold;">2011-09</span>). Formal
specification with the proof assistant <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>
Here are the most relevant theorems proved in the formal specification:
<ul>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/pr3/pr3/pr3_confluence.con.html">Confluence
+ href="static/matita/lambda_delta/Basic_1/pr3/pr3/pr3_confluence.con.html">Confluence
of
reduction</a> (Church-Rosser property).</li>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/ty3/props/ty3_correct.con.html">Correctness
+ href="static/matita/lambda_delta/Basic_1/ty3/props/ty3_correct.con.html">Correctness
of
types</a>.</li>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/ty3/props/ty3_unique.con.html">Uniqueness
+ href="static/matita/lambda_delta/Basic_1/ty3/props/ty3_unique.con.html">Uniqueness
of
types
up
conversion</a>.<br>
</li>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/ty3/pr3/ty3_sred_pr3.con.html">Subject
+ href="static/matita/lambda_delta/Basic_1/ty3/pr3/ty3_sred_pr3.con.html">Subject
reduction
of
the
type
assignment</a>.</li>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/ty3/arity_props/ty3_sn3.con.html">Strong
+ href="static/matita/lambda_delta/Basic_1/ty3/arity_props/ty3_sn3.con.html">Strong
normalization
of
the
typed
terms</a>.</li>
<li><a
- href="static/matita/LAMBDA-TYPES/LambdaDelta-1/ty3/dec/ty3_inference.con.html">Decidability
+ href="static/matita/lambda_delta/Basic_1/ty3/dec/ty3_inference.con.html">Decidability
of
the
type
</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/LAMBDA-TYPES/">LAMBDA-TYPES</a>
-(revised <span style="font-weight: bold;">2008-06</span>). Formal
+ 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/lambda_delta/">lambda_delta</a>
+(revised <span style="font-weight: bold;">2011-09</span>). Formal
specification with the proof assistant <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="source"></a>F. Guidi: <a
- href="http://www.cs.unibo.it/%7Efguidi/download/LAMBDA-TYPES.tgz"><span
- style="font-style: italic;">LAMBDA-TYPES</span></a> (revised <span
- style="font-weight: bold;">2008-03</span>).
+ href="download/lambda_delta_1.tar.gz"><span
+ style="font-style: italic;">lambda_delta_1</span></a> (revised <span
+ style="font-weight: bold;">2011-09</span>).
Formal specification with the proof assistant <span
style="font-weight: bold;">Coq 7.3.1</span> (source
proof scripts). <a href="#bibtex">BibTeX entry</a>.<br>
<ul>
<li><span style="font-weight: bold;">Access:</span> <a
href="static/lddl/">static pages</a> (updated <span
- style="font-weight: bold;">201
0-11</span>), <a
+ style="font-weight: bold;">201
1-09</span>), <a
href="download/lddl.tar.bz2">data set</a> (updated <span
- style="font-weight: bold;">201
0-11</span>), <a
- href="http://helm.cs.unibo.it/lambda-delta/xml">HELM server URL</a>
-(updated <span style="font-weight: bold;">2010-11</span>).</li>
+ style="font-weight: bold;">201
1-09</span>), <a
+ href="http://lambda-delta.info/xml">HELM server URL</a>
+(updated <span style="font-weight: bold;">2011-09</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
+ 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
+ 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>
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%2Flambda-delta%2F&rev=0&sc=0">/trunk/helm/software/lambda-delta/</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
of Helena are indicated below. <br>
<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">index of
+ href="http://www.cs.ru.nl/%7Efreek/digimath/index.html#helena">index of
computer math systems</a>.</li>
</ul>
</li>
<ul>
<li><a name="bibtex"></a>A
BibTeX database of λδ documentation: <a
- href="download/lambda_delta.bib"><span style="font-style: italic;">lambda-delta.bib</span></a>,
+ href="download/lambda_delta.bib"><span style="font-style: italic;">lambda_delta.bib</span></a>,
+
<a style="font-style: italic;"
- href="download/lambda_delta.txt">lambda-delta.txt</a> (revised <span
+ href="download/lambda_delta.txt">lambda_delta.txt</a> (revised <span
style="font-weight: bold;">2010-07</span>).</li>
</ul>
<ul>
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="http://www.cs.unibo.it/%7Efguidi/download/globe-trans.png"
+ 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="http://www.cs.unibo.it/%7Efguidi/download/PNGnow2.png"><br>
+ src="download/PNGnow2.png"><br>
<br>
-Last update 201
0-12-14 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
+Last update 201
1-09-09 by <a href="http://www.cs.unibo.it/%7Efguidi/">Ferruccio
Guidi</a><br>
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projects / helm.git / blobdiff