<body lang="en-US">
<div class="spacer">
<a href="http://lambdadelta.info/">
- <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
+ <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 System λδ (\lambda\delta)</div>
+ <div class="head1">The Formal Systems of the λδ (\lambda\delta) Family</div>
<div class="spacer">
- <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+ <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
</div>
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
<tbody>
<tr>
<td class="snns capitalize italic sky">
- <a href="http://lambdadelta.info/index.html">home</a>
+ <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>
</tr>
<tr>
<td class="snns capitalize sky">
- <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
+ <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>
<a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
</td>
<td class="snns capitalize green">
- <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
+ <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>
- <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
</tr>
<tr>
<td class="snss capitalize sky">
- <a href="http://lambdadelta.info/index.html#citations">citations</a>
+ <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>
<a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
</td>
<td class="snss capitalize green">
- <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
- </td>
- <td class="sssn capitalize green">
- <br />
+ <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 xmlns:ld="http://lambdadelta.info/" class="head2dx" id="specifications">Computer-checked formal specifications <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b15.png" />
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="specifications">Computer-checked formal specifications <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b15.png" />
</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">
- λδ is developed as a machine-checked digital specification.
- It comes in several versions listed in the next table,
- which includes the major milestones.
+ The systems of the λδ family are developed as machine-checked digital specifications,
+ and are listed in the next table, which includes the major milestones.
</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">
The life cycle of a specification consists of four periods.
<tr>
<td class="snns top capitalize italic gray">version</td>
<td class="snnn top capitalize italic gray">name</td>
- <td class="snnn top capitalize italic gray">developed with</td>
<td class="snnn top capitalize italic gray">stage</td>
+ <td class="snnn top capitalize italic gray">developed with</td>
<td class="snnn top capitalize italic gray">started</td>
<td class="snnn top capitalize italic gray">announced</td>
<td class="snnn top capitalize italic gray">released</td>
- <td class="ssnn top capitalize italic gray">concluded</td>
+ <td class="snnn top capitalize italic gray">concluded</td>
+ <td class="ssnn top capitalize italic gray">references</td>
+ </tr>
+ <tr>
+ <td class="snns top yellow">
+ <a href="http://lambdadelta.info/specification.html#v3">Version 3</a>
+ </td>
+ <td class="snnn top yellow">"basic_3"</td>
+ <td class="snnn top yellow" />
+ <td class="snnn top yellow" />
+ <td class="snnn top yellow" />
+ <td class="snnn top yellow" />
+ <td class="snnn top yellow" />
+ <td class="snnn top yellow" />
+ <td class="ssnn top yellow">
+ <a href="http://lambdadelta.info/documentation.html#ldJ3a">J3a</a>
+ </td>
</tr>
<tr>
<td class="snns top orange">
<a href="http://lambdadelta.info/specification.html#v2">Version 2</a>
</td>
<td class="snnn top orange">"basic_2"</td>
+ <td class="snns top orange">"A2"</td>
+ <td class="snnn top orange">
+ <a href="http://matita.cs.unibo.it/">Matita 0.99.3</a>
+ </td>
+ <td class="snnn top orange">October 2015</td>
+ <td class="snnn top orange" />
+ <td class="snnn top orange" />
+ <td class="snnn top orange" />
+ <td class="ssnn top orange" />
+ </tr>
+ <tr>
+ <td class="nnns top orange">
+ <br />
+ </td>
+ <td class="nnnn top orange">
+ <br />
+ </td>
+ <td class="snns top orange">"A1"</td>
<td class="snnn top orange">
<a href="http://matita.cs.unibo.it/">Matita 0.99.2</a>
</td>
- <td class="snnn top orange">"A"</td>
<td class="snnn top orange">April 2011</td>
<td class="snnn top orange">June 2014</td>
<td class="snnn top orange">October 2014</td>
- <td class="ssnn top orange" />
+ <td class="snnn top orange">August 2015</td>
+ <td class="ssnn top orange">
+ <a href="http://lambdadelta.info/documentation.html#ldV2a">V2a</a>
+ <a href="http://lambdadelta.info/documentation.html#ldR2c">R2c</a>
+ </td>
</tr>
<tr>
<td class="snns top orange">Abandoned</td>
<td class="snnn top orange" />
+ <td class="snnn top orange" />
<td class="snnn top orange">
<a href="http://coq.inria.fr/">Coq 7.3.1</a>
</td>
- <td class="snnn top orange" />
<td class="snnn top orange">March 2008</td>
<td class="snnn top orange" />
<td class="snnn top orange" />
- <td class="ssnn top orange">February 2011</td>
+ <td class="snnn top orange">February 2011</td>
+ <td class="ssnn top orange" />
</tr>
<tr>
<td class="snss top red">
<a href="http://lambdadelta.info/specification.html#v1">Version 1</a>
</td>
<td class="snsn top red">"basic_1"</td>
+ <td class="snsn top red" />
<td class="snsn top red">
<a href="http://coq.inria.fr/">Coq 7.3.1</a>
</td>
- <td class="snsn top red" />
<td class="snsn top red">May 2004</td>
<td class="snsn top red">December 2005</td>
<td class="snsn top red">November 2006</td>
- <td class="sssn top red">May 2008</td>
+ <td class="snsn top red">May 2008</td>
+ <td class="sssn top red">
+ <a href="http://lambdadelta.info/documentation.html#ldV1a">V1a</a>
+ <a href="http://lambdadelta.info/documentation.html#ldJ1a">J1a</a>
+ </td>
</tr>
</tbody>
</table>
<div xmlns:ld="http://lambdadelta.info/" class="text">
Informational pages on the specifications are provided.
</div>
- <ul xmlns:ld="http://lambdadelta.info/" id="">
+ <ul xmlns:ld="http://lambdadelta.info/" id="notice1">
<li>
<span class="emph alpha">Notice on displayed numerical acounts:</span>
nodes are counted according to the "intrinsic complexity measure"
Journal of Automated Reasoning 44(1-2), Springer (February 2010), pp. 53-78].
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/" id="">
+ <ul xmlns:ld="http://lambdadelta.info/" id="notice2">
<li>
<span class="emph alpha">Notice on displayed logical structures:</span>
from the logical standpoint, the source scripts are grouped in "planes"
introduced in each script, is shown in parentheses (? are placeholders).
</li>
</ul>
+ <!-- VERSION 3 =========================================================== -->
+ <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="v3">
+ <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b8.png" /> λδ version 3 (proposed)</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ The formal specification of λδ version 3
+ is forthcoming.
+ </div>
<!-- VERSION 2 =========================================================== -->
<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 (active)</div>
+ <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png" /> λδ version 2 (active)</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">
The formal specification of λδ version 2
is available in the following formats:
<ul xmlns:ld="http://lambdadelta.info/" id="source2">
<li>
<div class="text">
- <a href="http://lambdadelta.info/download/lambdadelta_2.tar.gz">lambdadelta_2 for Matita 0.99.2</a>
+ <a href="http://lambdadelta.info/download/lambdadelta_2A1.tar.gz">lambdadelta_2A1 for Matita 0.99.2</a>
(revised <span class="emph gamma">2014-10</span>).
- Source scripts.
+ Source scripts [Svn revision: 12964].
+ <a href="http://lambdadelta.info/documentation.html#ldR2c">Documentation (R2c)</a>.
</div>
<div class="text">
The scripts are grouped in directories, first by part, then by component.
</div>
<!-- VERSION 1 =========================================================== -->
<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 (superseded)</div>
+ <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b6.png" /> λδ version 1 (superseded)</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">
The formal specification of λδ version 1
is available in the following formats:
<a href="http://lambdadelta.info/download/lambdadelta_1.tar.gz">lambdadelta_1 for Coq 7.3.1</a>
(revised <span class="emph delta">2015-09</span>).
Source scripts.
+ <a href="http://lambdadelta.info/documentation.html#ldJ1a">Documentation (J1a)</a>.
<ul>
- <li>
+ <li class="">
<span class="emph delta">2015 January 15.</span>
17 new lemmas and former lemma "eq_nat_dec" renamed as "nat_dec_neg".
</li>
(revised <span class="emph delta">2011-09</span>).
Static HTML pages generated by the <a href="http://helm.cs.unibo.it/">HELM</a> rendering engine.
<ul>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/pr3/pr3/pr3_confluence.con.html">
Confluence of reduction</a>
(Church-Rosser property).
</li>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/ty3/props/ty3_correct.con.html">
Correctness of types</a>.
</li>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/ty3/props/ty3_unique.con.html">
Uniqueness of types up to conversion</a>.
</li>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/ty3/pr3/ty3_sred_pr3.con.html">
Subject reduction of the type assignment</a>.
</li>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/ty3/arity_props/ty3_sn3.con.html">
Strong normalization of the typed terms</a>.
</li>
- <li>
+ <li class="">
<a href="http://lambdadelta.info/static/matita/lambdadelta/basic_1/ty3/dec/ty3_inference.con.html">
Decidability of the type inference problem</a>.
</li>
<a href="http://lambdadelta.info/basic_1.html">Core</a>.
</div>
<div class="spacer">
- <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+ <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
</div>
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 06 Sep 2015 21:40:58 +0200</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 24 Nov 2017 21:00:00 +0100</div>
</body>
</html>
projects / helm.git / blobdiff