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- <title>lambdadelta home page</title>
- <meta content="Ferruccio Guidi" name="author">
- <meta content="The formal system lambdadelta" name="description">
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- solid ; width: 32px; height: 32px;"></a>
- <h1>The Formal System λδ (lambdadelta)<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>
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+ <body lang="en-US">
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+ <a href="http://lambdadelta.info/">
+ <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
+ </a>
+ </div>
+ <div class="head1">The Formal System λδ (\lambda\delta)</div>
+ <div class="spacer">
+ <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">
+ <br />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
<tbody>
<tr>
- <td style="vertical-align: top;">
- <ul>
- <li><a href="index.html">Foreword</a></li>
- </ul>
- <ul>
- <li><a href="news.html">News</a></li>
- </ul>
- <ul>
- <li>Papers</li>
- </ul>
- <ul>
- <li><a href="implementation.html">Resources</a><br>
- </li>
- </ul>
- </td>
- <td style="vertical-align: top; text-align: left;">
- <h3 style="text-align: right;">Documentation <img
- style="width: 37px; height: 37px;" alt="[Butterfly]"
- title="Butterfly" src="download/b5.png"></h3>
- Currently the <span style="font-weight: bold;">main
- source of
- information</span> on λδ (version 1) is <span
- style="font-weight: bold;">Resource
- 1.1</span> below.<br>
- A <span style="font-weight: bold;">summary</span> of
- basic λδ (version
- 1) is found in <span style="font-weight: bold;">Resource
- 1.5</span>
- below.<br>
- <h3><img style="width: 32px; height: 32px;" alt="[Basic
- lambdadelta Logo]" title="Basic lambdadelta"
- src="download/basic_32.png"> Basic λδ version 2 (in
- progress):</h3>
- <table style="text-align: left; width: 100%;" border="0"
- cellpadding="2" cellspacing="2">
- <tbody>
- <tr>
- <td style="vertical-align: top;">2.1.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldp7"></a>F.
- Guidi: <a href="download/cie_2010.pdf"><span
- style="font-style: italic;">An
- Efficient
- Validation Procedure for the Formal System </span><span
- style="font-style: italic;">λδ</span></a><span
- style="font-style: italic;"></span>
- (<span style="font-weight: bold;">2010-07</span>).
- In <span style="font-style: italic;">CiE 2010
- Local Proceedings</span>.
- University of Azores, CMATI Booklet, pp. 204-213.
- <a href="implementation.html#bibtex">BibTeX entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">2.2.<br>
- </td>
- <td style="vertical-align: top;"> <a name="ldp6"></a>F.
-Guidi:
-
-
-
-
-
-
-
-
-
+ <td class="snns capitalize italic sky">
+ <a href="http://lambdadelta.info/index.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 orange">
+ <a href="http://lambdadelta.info/documentation.html">documentation</a>
+ </td>
+ <td class="snns capitalize italic green">
+ <a href="http://lambdadelta.info/specification.html">specification</a>
+ </td>
+ <td class="snnn capitalize italic green">
+ <br />
+ </td>
+ <td class="ssns capitalize italic green">
+ <a href="http://lambdadelta.info/implementation.html">implementation</a>
+ </td>
+ </tr>
+ <tr>
+ <td class="snns capitalize sky">
+ <a href="http://lambdadelta.info/index.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 orange">
+ <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
+ </td>
+ <td class="snns capitalize green">
+ <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
+ </td>
+ <td class="snnn capitalize green">(<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="ssns capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
+ </td>
+ </tr>
+ <tr>
+ <td class="snss capitalize sky">
+ <a href="http://lambdadelta.info/index.html#notice">notice</a>
+ </td>
+ <td class="snss capitalize magenta">
+ <a href="http://lambdadelta.info/news.html#visibility">visibility</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/specification.html#v1">version 1</a>
+ </td>
+ <td class="snsn capitalize green">
+ <br />
+ </td>
+ <td class="ssss capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
+ </td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="bibtex">Documentation <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ BibTeX database of λδ documentation:
+ <a href="http://lambdadelta.info/download/lambdadelta.bib">lambdadelta.bib</a>,
+ <a href="http://lambdadelta.info/download/lambdadelta.txt">lambdadelta.txt</a>
+ (revised <span class="date">2014-10</span>).
+ </div>
+
+ <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v2">
+ <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" /> λδ version 2 (in progress)</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ The main source of information is <span class="date">P8</span>.
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
+ <tbody>
+ <tr>
+ <td class="snns top" id="ldR5">
+ <span class="date">R5.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/cie_2010.pdf">An Efficient Validation Procedure for the Formal System λδ</a> (<span class="date">2010-07</span>). In CiE 2010 Local Proceedings. University of Azores, CMATI Booklet, pp. 204-213. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldR4">
+ <span class="date">R4.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2009/UBLCS-2009-16">Landau's "Grundlagen der Analysis" from Automath to lambda-delta</a> (<span class="date">2009-09</span>). University of Bologna, technical report UBLCS-2009-16. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP8">
+ <span class="date">P8.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_8s.pdf">The Formal System λδ and the "Three Problems"</a> (<span class="date">2014-06</span>). Presentation at University of Bologna (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP7">
+ <span class="date">P7.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_7s.pdf">An Efficient Validation Procedure for the Formal System λδ</a> (<span class="date">2010-07</span>). Presentation at CiE 2010 (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP6">
+ <span class="date">P6.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_6s.pdf">A Validator for the Formal System λδ</a> (revised <span class="date">2010-02</span>). Presentation at University of Bologna (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldV2">
+ <span class="date">V2.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/version_2.html">lambdadelta_2</a> (revised <span class="date">2014-10</span>). Formal specification for the proof assistant Matita 0.99.2 (scripts). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnss top" />
+ <td class="nssn top">
+ <br />
+ </td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
- <a
-href="http://www.cs.unibo.it/pub/TR/UBLCS/ABSTRACTS/2009.bib?ncstrl.cabernet//BOLOGNA-UBLCS-2009-16"><span
- style="font-style: italic;">Landau's
- "Grundlagen der Analysis" from Automath to
- lambdadelta</span></a> (<span
- style="font-weight: bold;">2009-09)</span>.
- University of
- Bologna, technical report UBLCS-2009-16. <a
- href="implementation.html#bibtex">BibTeX entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">2.3.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt7"></a>F.
- Guidi: <a href="download/ld_talk_7s.pdf"><span
- style="font-style: italic;">An
- Efficient
- Validation Procedure for the Formal System λδ</span></a>
- (<span style="font-weight: bold;">2010-07</span>).
- Presentation
- at
- CiE
- 2010
- (slides).<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">2.4.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt6"></a>F.
- Guidi: <a href="download/ld_talk_6s.pdf"><span
- style="font-style: italic;">A
- Validator
- for the Formal System λδ</span></a> (revised <span
- style="font-weight: bold;">2010-02</span>).
- Presentation
- at
- the
- University
- of
- Bologna
- (slides). </td>
- </tr>
- </tbody>
- </table>
- <h3><img style="width: 32px; height: 32px;" alt="[Basic
- lambdadelta Logo]" title="Basic lambdadelta"
- src="download/basic_32.png"> Basic λδ version 1
- (dismissed):</h3>
- <table style="text-align: left; width: 100%;" border="0"
- cellpadding="2" cellspacing="2">
- <tbody>
- <tr>
- <td style="vertical-align: top;">1.1.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldp5"></a>F.
-Guidi:
- <a
- href="http://doi.acm.org/10.1145/1614431.1614436"><span
- style="font-style: italic;">The Formal System
- λδ</span></a> (<span style="font-weight:
- bold;">2009-10</span>). In ACM ToCL 11(1),
- Article
- No. 5 (<a
- href="http://tocl.acm.org/accepted/335guidi.pdf">accepted</a>
- <span style="font-weight: bold;">2008-07</span>).
- CoRR
- identifier <a
- href="http://arxiv.org/abs/cs/0611040"><span
- style="font-style: italic;"></span>cs/0611040</a>
- [v10] (revised <span style="font-weight: bold;">2008-09</span>).
- <a href="implementation.html#bibtex">BibTeX
- entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.2.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldp4"></a>F.
- Guidi: <a href="download/cie_2007.pdf"><span
- style="font-style: italic;">Lambda
- Types on the Lambda Calculus with
- Abbreviations</span></a> (<span
- style="font-weight: bold;">2007-06</span>).
- In <span style="font-style: italic;">CiE 2007
- Local Proceedings</span>.
- University
- of
- Siena,
- technical
- report
- 487,
- p.
- 387
- (abstract
- of
- a
- presentation). <a
- href="implementation.html#bibtex">BibTeX
- entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.3.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldp3"></a>F.
- Guidi: <a
-href="http://www.cs.unibo.it/pub/TR/UBLCS/ABSTRACTS/2006.bib?ncstrl.cabernet//BOLOGNA-UBLCS-2006-25"><span
- style="font-style: italic;">Lambda Types on
- the Lambda Calculus with
- Abbreviations</span></a> (<span
- style="font-weight: bold;">2006-11</span>).
- University
- of
- Bologna,
- technical
- report
- UBLCS-2006-25. <a
- href="implementation.html#bibtex">BibTeX
- entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.4.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldp2"></a>F.
- Guidi: <a style="font-style: italic;"
-href="http://www.cs.unibo.it/pub/TR/UBLCS/ABSTRACTS/2006.bib?ncstrl.cabernet//BOLOGNA-UBLCS-2006-01">Lambda
- Types
- on
- the
- Lambda
- Calculus
- with
- Abbreviations:
- a
- Certified
- Specification</a> (<span style="font-weight:
- bold;">2006-01</span>).
- University of
- Bologna, technical report UBLCS-2006-01. <a
- href="implementation.html#bibtex">BibTeX entry</a>.<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.5.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt5"></a>F.
- Guidi: <a style="font-style: italic;"
- href="download/ld_talk_5s.pdf">The
- Formal
- System lambdadelta</a>
- (<span style="font-weight: bold;">2008-10</span>).
- Presentation at
- "Advances in Constructive Topology and Logical
- Foundations" (slides).<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.6.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt4"></a>F.
- Guidi: <a href="download/ld_talk_4s.pdf"><span
- style="font-style: italic;">Towards
- the Unification of Terms, Types
- and Contexts</span></a> (<span
- style="font-weight: bold;">2008-03</span>).
- Presentation
- at
- Types
- 2008
- (slides).<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.7.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt3"></a>F.
- Guidi: <a href="download/ld_talk_3s.pdf"><span
- style="font-style: italic;">Lambda
- Types on the Lambda Calculus with
- Abbreviations</span></a> (<span
- style="font-weight: bold;">2007-06</span>).
- Presentation
- at
- CiE
- 2007
- (slides).<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.8.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt2"></a>F.
- Guidi: <a href="download/ld_talk_2s.pdf"><span
- style="font-style: italic;">Lambda
- Tipi sul Lambda Calcolo con
- Abbreviazioni</span></a> (<span
- style="font-weight: bold;">2007-01</span>).
- Presentation
- at
- the
- University
- of
- Padova
- (slides <span style="font-weight: bold;">in
- Italian</span>).<br>
- <br>
- </td>
- </tr>
- <tr>
- <td style="vertical-align: top;">1.9.<br>
- </td>
- <td style="vertical-align: top;"><a name="ldt1"></a>F.
-Guidi:
- <a href="download/ld_talk_1s.pdf"><span
- style="font-style: italic;">Lambda Tipi sul
- Lambda Calcolo con
- Abbreviazioni: una Specifica Certificata</span></a>
- (<span style="font-weight: bold;">2005-12</span>).
- Presentation at
- the University of Bologna (slides <span
- style="font-weight: bold;">in
- Italian</span>).<br>
- </td>
- </tr>
- </tbody>
- </table>
+ <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v1">
+ <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b6.png" /> λδ version 1 (dismissed)</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ The main source of information is <span class="date">J1</span>.
+ A summary is available in <span class="date">P5</span>.
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
+ <tbody>
+ <tr>
+ <td class="snns top" id="ldJ1">
+ <span class="date">J1.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://doi.acm.org/10.1145/1614431.1614436">The Formal System λδ</a> (<span class="date">2009-11</span>). In In ACM ToCL 11(1), pp. 5:1-5:37 ( <a href="http://tocl.acm.org/accepted/335guidi.pdf">accepted</a>
+ <span class="date">2008-07</span>). CoRR identifier <a href="http://arxiv.org/abs/cs/0611040">cs/0611040</a> [v10] (revised <span class="date">2008-09</span>). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldR3">
+ <span class="date">R3.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/cie_2007.pdf">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="date">2007-06</span>). In CiE 2007 Local Proceedings. University of Siena, technical report 487, p. 387 (abstract of a presentation). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldR2">
+ <span class="date">R2.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2006/UBLCS-2006-25">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="date">2006-11</span>). University of Bologna, technical report UBLCS-2006-25. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldR1">
+ <span class="date">R1.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://www.informatica.unibo.it/it/ricerca/technical-report/2006/UBLCS-2006-01">Lambda Types on the Lambda Calculus with Abbreviations: a Certified Specification</a> (<span class="date">2006-01</span>). University of Bologna, technical report UBLCS-2006-01. <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP5">
+ <span class="date">P5.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_5s.pdf">The Formal System λδ</a> (<span class="date">2008-10</span>). Presentation at Advances in Constructive Topology and Logical Foundations (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP4">
+ <span class="date">P4.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_4s.pdf">Towards the Unification of Terms, Types and Contexts</a> (<span class="date">2008-03</span>). Presentation at Types 2008 (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP3">
+ <span class="date">P3.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_3s.pdf">Lambda Types on the Lambda Calculus with Abbreviations</a> (<span class="date">2007-06</span>). Presentation at CiE 2007 (slides).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP2">
+ <span class="date">P2.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_2s.pdf">Lambda Tipi sul Lambda Calcolo con Abbreviazioni</a> (<span class="date">2007-01</span>). Presentation at University of Padova (slides <span class="date">in Italian</span>).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldP1">
+ <span class="date">P1.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/download/ld_talk_1s.pdf">Lambda Tipi sul Lambda Calcolo con Abbreviazioni: una Specifica Certificata</a> (<span class="date">2005-12</span>). Presentation at University of Bologna (slides <span class="date">in Italian</span>).</td>
+ </tr>
+ <tr>
+ <td class="nnns top" />
+ <td class="nsnn top">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top" id="ldV1">
+ <span class="date">V1.</span>
+ </td>
+ <td class="ssnn top">F. Guidi: <a href="http://lambdadelta.info/version_1.html">lambdadelta_1</a> (revised <span class="date">2012-10</span>). Formal specification for the proof assistant Coq 7.3.1 (scripts). <a href="http://lambdadelta.info/documentation.html#bibtex">BibTeX entry</a>.</td>
+ </tr>
+ <tr>
+ <td class="nnss top" />
+ <td class="nssn top">
+ <br />
</td>
</tr>
</tbody>
</table>
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projects / helm.git / blobdiff