From c07e9b0a3e65c28ca4154fec76a54a9a118fa7e1 Mon Sep 17 00:00:00 2001
From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Sat, 20 Jul 2013 22:12:29 +0000
Subject: [PATCH] milestone in basic_2

---
 helm/www/lambdadelta/BTM.html     |   2 +-
 helm/www/lambdadelta/apps_2.html  |   2 +-
 helm/www/lambdadelta/basic_2.html | 188 +++++++++++++++++++++++-------
 3 files changed, 151 insertions(+), 41 deletions(-)

diff --git a/helm/www/lambdadelta/BTM.html b/helm/www/lambdadelta/BTM.html
index 4f599a766..b4046110e 100644
--- a/helm/www/lambdadelta/BTM.html
+++ b/helm/www/lambdadelta/BTM.html
@@ -223,6 +223,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 20 Jun 2013 19:25:05 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 21 Jul 2013 00:11:48 +0200</div>
 </body>
 </html>
diff --git a/helm/www/lambdadelta/apps_2.html b/helm/www/lambdadelta/apps_2.html
index 5bbbd8576..5df798103 100644
--- a/helm/www/lambdadelta/apps_2.html
+++ b/helm/www/lambdadelta/apps_2.html
@@ -187,6 +187,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 20 Jun 2013 19:25:05 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 21 Jul 2013 00:11:48 +0200</div>
 </body>
 </html>
diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html
index 65e3b34c9..4482123c5 100644
--- a/helm/www/lambdadelta/basic_2.html
+++ b/helm/www/lambdadelta/basic_2.html
@@ -159,29 +159,29 @@
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">176  </td>
+            <td class="snnn number cyan">198  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">373293</td>
+            <td class="snnn number cyan">414004</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1085467</td>
+            <td class="ssnn number cyan">1213218</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">76</td>
+            <td class="snnn number green">89</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">780</td>
+            <td class="snnn number green">877</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">856</td>
+            <td class="ssnn number green">966</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">43</td>
+            <td class="snsn number yellow">45</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">71</td>
+            <td class="snsn number yellow">79</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">114</td>
+            <td class="sssn number yellow">124</td>
           </tr>
         </tbody>
       </table>
@@ -196,14 +196,20 @@
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">In progress.</span>
-         Closure of extended context-sensitive computation
+         Closure of context-sensitive extended computation
          for native validity.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">In progress.</span>
-         Extended context-sensitive strong normalization
+         Reaxiomatized β-reductum as in extended β-reduction
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 July 20.</span>
+         Context-sensitive extended strong normalization
          for simply typed terms.
    </li>
     </ul>
@@ -219,7 +225,7 @@
       <li>
         <span class="date">2013 March 16.</span>
          Mutual recursive preservation of stratified native validity
-	 for hyper computation on closures.
+         for hyper computation on closures.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
@@ -231,7 +237,7 @@
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2012 July 26.</span>
-         Term binders polarized to control ζ reduction.
+         Term binders polarized to control ζ-reduction.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
@@ -388,9 +394,11 @@
           </tr>
           <tr>
             <td class="snns component cyan">computation</td>
-            <td class="snns plane cyan">decomposed extended computation</td>
-            <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
-            <td class="snnn file cyan">dxprs_lift dxprs_lpss dxprs_aaa dxprs_dxprs</td>
+            <td class="snns plane cyan">context-sensitive extended evaluation</td>
+            <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?] 𝐍⦃?⦄ )</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -402,9 +410,9 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">context-sensitive extended computation</td>
-            <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?] ? )</td>
-            <td class="snnn file cyan">cpxs_lift</td>
+            <td class="snns plane cyan">context-sensitive evaluation</td>
+            <td class="snns file cyan">cpre ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
+            <td class="snnn file cyan">cpre_cpre</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -416,9 +424,9 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">weakly normalizing computation</td>
-            <td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
-            <td class="snnn file cyan">cpe_cpe</td>
+            <td class="snns plane cyan">strongly normalizing computation</td>
+            <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
+            <td class="snnn file cyan">csn_tstc_vector csn_aaa</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -430,9 +438,23 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">strongly normalizing computation</td>
-            <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
-            <td class="snnn file cyan">csn_tstc_vector csn_aaa</td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
+            <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
+            <td class="snnn file cyan">csn_lift csn_lpx</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">decomposed extended computation</td>
+            <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
+            <td class="snnn file cyan">dxprs_lift dxprs_lpss dxprs_aaa dxprs_dxprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -440,6 +462,18 @@
               <br />
             </td>
           </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">context-sensitive extended computation</td>
+            <td class="snns file cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?] ? )</td>
+            <td class="snnn file cyan">lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?] ? )</td>
+            <td class="snnn file cyan">lpxs_ldrop lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
           <tr>
             <td class="nnns component cyan">
               <br />
@@ -447,9 +481,11 @@
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
-            <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
-            <td class="snnn file cyan">csn_lift csn_lpr</td>
+            <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?] ? )</td>
+            <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -461,7 +497,7 @@
             <td class="snns plane cyan">context-sensitive computation</td>
             <td class="snns file cyan">lprs ( ? ⊢ ➡* ? )</td>
             <td class="snnn file cyan">lprs_alt ( ? ⊢ ➡➡* ? )</td>
-            <td class="snnn file cyan">lprs_ldrop lprs_lpss lprs_aaa lprs_cprs lprs_lprs</td>
+            <td class="snnn file cyan">lprs_ldrop lprs_lpss lprs_cprs lprs_lprs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -474,7 +510,7 @@
               <br />
             </td>
             <td class="snns file cyan">cprs ( ? ⊢ ? ➡* ?)</td>
-            <td class="snnn file cyan">cprs_tstc cprs_tstc_vector cprs_lift cprs_lpss cprs_aaa cprs_cprs</td>
+            <td class="snnn file cyan">cprs_lift cprs_lpss cprs_cprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -510,6 +546,20 @@
           </tr>
           <tr>
             <td class="snns component water">reduction</td>
+            <td class="snns plane water">context-sensitive extended normal forms</td>
+            <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ 𝐍[?]⦃?⦄ )</td>
+            <td class="snnn file water">cnx_lift cnx_crx cnx_cix</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
             <td class="snns plane water">context-sensitive extended reduction</td>
             <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?] ? )</td>
             <td class="snnn file water">lpx_ldrop lpx_aaa</td>
@@ -528,7 +578,49 @@
               <br />
             </td>
             <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
-            <td class="snnn file water">cpx_lift</td>
+            <td class="snnn file water">cpx_lift cpx_cix</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive extended irreducible forms</td>
+            <td class="snns file water">cix ( ⦃?,?⦄ ⊢ 𝐈[?]⦃?⦄ )</td>
+            <td class="snnn file water">cix_append cix_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive extended reducible forms</td>
+            <td class="snns file water">crx ( ⦃?,?⦄ ⊢ 𝐑[?]⦃?⦄ )</td>
+            <td class="snnn file water">crx_append crx_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">local env. ref. for extended reduction</td>
+            <td class="snns file water">lsubx ( ? ⓝ⊑ ? )</td>
+            <td class="snnn file water">lsubx_lsubx</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -541,8 +633,8 @@
               <br />
             </td>
             <td class="snns plane water">context-sensitive normal forms</td>
-            <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
-            <td class="snnn file water">cnf_liftt cnf_crf cnf_cif</td>
+            <td class="snns file water">cnr ( ? ⊢ 𝐍⦃?⦄ )</td>
+            <td class="snnn file water">cnr_lift cnr_crr cnr_cir</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -572,7 +664,21 @@
               <br />
             </td>
             <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
-            <td class="snnn file water">cpr_lift cpr_cif</td>
+            <td class="snnn file water">cpr_lift cpr_cir</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive irreducible forms</td>
+            <td class="snns file water">cir ( ? ⊢ 𝐈⦃?⦄ )</td>
+            <td class="snnn file water">cir_append cir_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -585,10 +691,14 @@
               <br />
             </td>
             <td class="snns plane water">context-sensitive reducible forms</td>
-            <td class="snns file water">crf ( ? ⊢ 𝐑⦃?⦄ )</td>
-            <td class="snnn file water">crf_append</td>
-            <td class="snnn file water">cif ( ? ⊢ 𝐈⦃?⦄ )</td>
-            <td class="ssnn file water">cif_append</td>
+            <td class="snns file water">crr ( ? ⊢ 𝐑⦃?⦄ )</td>
+            <td class="snnn file water">crr_append crr_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
           </tr>
           <tr>
             <td class="snns component green">unfold</td>
@@ -1044,6 +1154,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 20 Jun 2013 19:25:05 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 21 Jul 2013 00:11:48 +0200</div>
 </body>
 </html>
-- 
2.39.2