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- <meta name="description" content="\lambda\delta version 2" />
- <title>\lambda\delta version 2</title>
+ <meta name="description" content="\lambda\delta home page" />
+ <title>\lambda\delta home page</title>
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- <div class="head1">cic:/matita/lambdadelta/basic_2/ (λδ version 2)</div>
+ <div class="head1">cic:/matita/lambdadelta/basic_2/ (core λδ version 2)</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="head2sn" id="">Summary of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
+ <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 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 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/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 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#lddl">library</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>
+ </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#helena">helena</a>
+ </td>
+ <td class="sssn capitalize green">
+ <br />
+ </td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <!--
+ <section>System's Syntax and Behavior</section>
+ <body>This is a summary of the "block structure"
+ of the System's syntactic items and reductions.
+ </body>
+ <table name="basic_2_blk"/>
+ <body>* In terms only.
+ ** In terms and local environments only.
+ *** In global environments only.
+ **** Sort level k in terms only.
+ </body>
+-->
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
and its timeline.
- Nodes are counted according to the "intrinsinc complexity measure"
- [F. Guidi: "Procedural Representation of CIC Proof Terms"
- Journal of Automated Reasoning 44(1-2), Springer (February 2010),
- pp. 53-78].
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">
+
<div xmlns:ld="http://lambdadelta.info/" class="text">
<table cellpadding="4" cellspacing="0">
<tbody>
<tr>
<tr>
<td class="snns capitalize italic cyan">sizes</td>
<td class="snns italic cyan">files</td>
- <td class="snnn right italic cyan">358</td>
+ <td class="snnn right italic cyan">360</td>
<td class="snns italic cyan">characters</td>
- <td class="snnn right italic cyan">431789</td>
+ <td class="snnn right italic cyan">433402</td>
<td class="snns italic cyan">nodes</td>
- <td class="ssnn right italic cyan">1860684</td>
+ <td class="ssnn right italic cyan">1874778</td>
</tr>
<tr>
<td class="snns capitalize italic green">propositions</td>
</tbody>
</table>
</div>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="">Stage "B"</div>
- <ul xmlns:ld="http://lambdadelta.info/">
+ <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
+ <ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">In progress.</span>
+ <span class="emph alpha">Ongoing.</span>
Context-sensitive subject equivalence
for native type assignment.
</li>
</ul>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="">Stage "A": "Weakening the Applicability Condition"</div>
- <ul xmlns:ld="http://lambdadelta.info/">
+ <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A">Stage "A": "Extending the Applicability Condition"</div>
+ <ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2014 September 9.</span>
+ <span class="emph gamma">2014 October 28.</span>
+ λδ version 2A is released.
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph beta">2014 September 9.</span>
Iterated static type assignment defined (more elegantly)
as a primitive notion.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2014 June 18.</span>
+ <span class="emph beta">2014 June 18.</span>
Preservation of stratified native validity
for context-sensitive computation on terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2014 June 9.</span>
+ <span class="emph alpha">2014 June 9.</span>
Strong qrst-normalization
for simply typed terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2014 April 16.</span>
+ <span class="emph alpha">2014 April 16.</span>
Lazy equivalence on local environments
- addded as q-step to rst-computation on closures
+ added as q-step to rst-computation on closures
(anniversary milestone).
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2014 January 20.</span>
+ <span class="emph alpha">2014 January 20.</span>
Parametrized slicing of local environments
comprises both versions of this operation
(one from basic_1, the other used in basic_2 till now).
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2013 August 7.</span>
+ <span class="emph alpha">2013 August 7.</span>
Passive support for global environments.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2013 July 27.</span>
+ <span class="emph alpha">2013 July 27.</span>
Reaxiomatized β-reductum as in rt-reduction.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2013 July 20.</span>
+ <span class="emph alpha">2013 July 20.</span>
Context-sensitive strong rt-normalization
for simply typed terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2013 April 16.</span>
+ <span class="emph alpha">2013 April 16.</span>
Reaxiomatized substitution and reduction
commute with respect to subclosure
(anniversary milestone).
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2013 March 16.</span>
+ <span class="emph alpha">2013 March 16.</span>
Mutual recursive preservation of stratified native validity
for rst-computation on closures.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 October 16.</span>
+ <span class="emph alpha">2012 October 16.</span>
Confluence for context-free parallel reduction on closures.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 July 26.</span>
+ <span class="emph alpha">2012 July 26.</span>
Term binders polarized to control ζ-reduction (not released).
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 April 16.</span>
+ <span class="emph alpha">2012 April 16.</span>
Context-sensitive subject equivalence
for atomic arity assignment
(anniversary milestone).
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 March 15.</span>
+ <span class="emph alpha">2012 March 15.</span>
Context-sensitive strong normalization
for simply typed terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 January 27.</span>
+ <span class="emph alpha">2012 January 27.</span>
Support for abstract candidates of reducibility.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2011 September 21.</span>
+ <span class="emph alpha">2011 September 21.</span>
Confluence for context-sensitive parallel reduction on terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2011 September 6.</span>
+ <span class="emph alpha">2011 September 6.</span>
Confluence for context-free parallel reduction on terms.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2011 April 17.</span>
+ <span class="emph alpha">2011 April 17.</span>
Specification starts.
</li>
</ul>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">Logical Structure of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
- according to the following table.
- Notation files covering the whole specification are provided.
- The notation for the relations or functions introduced in each file
- is shown in parentheses (? are placeholders).
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">
+
<div xmlns:ld="http://lambdadelta.info/" class="text">
<table cellpadding="4" cellspacing="0">
<tbody>
<tr>
<tr>
<td class="snns top capitalize italic wine">examples</td>
<td class="snns top italic wine">terms with special features</td>
- <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl</td>
+ <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
<td class="snnn top wine">
<br />
</td>
<br />
</td>
<td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
- <td class="snnn top prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_scpes snv_preserve</td>
+ <td class="snnn top prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve</td>
<td class="snnn top prune">
<br />
</td>
<br />
</td>
<td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
- <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_leq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
+ <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
<td class="snnn top cyan">
<br />
</td>
<br />
</td>
<td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
- <td class="snnn top water">cpx_leq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
+ <td class="snnn top water">cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
<td class="snnn top water">
<br />
</td>
<br />
</td>
<td class="snns top yellow">lleq ( ? ≡[?,?] ? )</td>
- <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_leq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
+ <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
<td class="snnn top yellow">
<br />
</td>
</td>
<td class="snns top italic yellow">lazy pointwise extension of a relation</td>
<td class="snns top yellow">llpx_sn</td>
- <td class="snnn top yellow">llpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_leq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor</td>
+ <td class="snnn top yellow">llpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_lreq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor</td>
<td class="snnn top yellow">
<br />
</td>
</td>
<td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
<td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
- <td class="snnn top yellow">frees_append frees_leq frees_lift</td>
+ <td class="snnn top yellow">frees_append frees_lreq frees_lift</td>
<td class="snnn top yellow">
<br />
</td>
<td class="nnns top capitalize italic yellow">
<br />
</td>
- <td class="snns top italic yellow">contxt-sensitive multiple rt-substitution</td>
+ <td class="snns top italic yellow">context-sensitive multiple rt-substitution</td>
<td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
<td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
<td class="snnn top yellow">cpys_lift cpys_cpys</td>
<td class="nnns top capitalize italic orange">
<br />
</td>
- <td class="snns top italic orange">contxt-sensitive ordinary rt-substitution</td>
+ <td class="snns top italic orange">context-sensitive ordinary rt-substitution</td>
<td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
<td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
<td class="snnn top orange">
</td>
<td class="snns top italic orange">basic local env. slicing</td>
<td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
- <td class="snnn top orange">drop_append drop_leq drop_drop</td>
+ <td class="snnn top orange">drop_append drop_lreq drop_drop</td>
<td class="snnn top orange">
<br />
</td>
<tr>
<td class="snns top capitalize italic red">grammar</td>
<td class="snns top italic red">equivalence for local environments</td>
- <td class="snns top red">leq ( ? ⩬[?,?] ? )</td>
- <td class="snnn top red">leq_leq</td>
+ <td class="snns top red">lreq ( ? ⩬[?,?] ? )</td>
+ <td class="snnn top red">lreq_lreq</td>
<td class="snnn top red">
<br />
</td>
</tbody>
</table>
</div>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">Physical Structure of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
- one for each component.
- </div>
- <div class="spacer">
+ <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">
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 15 Oct 2014 15:37:19 +0200</div>
-</body>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 11 May 2015 15:05:35 +0200</div>
+ </body>
</html>
projects / helm.git / blobdiff