anniversary milestone in basic_2 !!

diff --git a/helm/www/lambdadelta/BTM.html b/helm/www/lambdadelta/BTM.html
index 044df3ac001e86bca6dd845ff5021ba6ed425433..e30aed63a018e4a5d2972df7f3240320bad6697e 100644 (file)
--- 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: Tue, 11 Mar 2014 19:37:30 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 16 Apr 2014 18:12:00 +0200</div>
 </body>
 </html>

diff --git a/helm/www/lambdadelta/apps_2.html b/helm/www/lambdadelta/apps_2.html
index 8ff25680062f680038ed8748df0e5347677e69c7..7e85ce746046affb4aa6256c3c06a6c31fc93d06 100644 (file)
--- a/helm/www/lambdadelta/apps_2.html
+++ b/helm/www/lambdadelta/apps_2.html
@@ -191,6 +191,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 11 Mar 2014 19:37:30 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 16 Apr 2014 18:12:00 +0200</div>
 </body>
 </html>

diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html
index 88c3e88ebcba141e184295966b48e8e6056c82ac..0ac117159aa947b5dca92fc7a97e369bb893493b 100644 (file)
--- a/helm/www/lambdadelta/basic_2.html
+++ b/helm/www/lambdadelta/basic_2.html
@@ -23,112 +23,7 @@
     <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="head2">System's Syntax and Behavior</div>
-   <div xmlns:ld="http://lambdadelta.info/" class="text">This is a summary of the "block structure"
-         of the System's syntactic items and reductions.
-   </div>
-   <div xmlns:ld="http://lambdadelta.info/" class="text">
-      <table cellpadding="4" cellspacing="0">
-        <tbody>
-          <tr>
-            <td class="snns text grey">domain</td>
-            <td class="snns plane grey">block</td>
-            <td class="snns text grey">leader</td>
-            <td class="snns text grey">applicator (with →θ)*</td>
-            <td class="snns text grey">reduction</td>
-            <td class="snns text grey">→ζ *</td>
-            <td class="ssns text grey">reference *</td>
-          </tr>
-          <tr>
-            <td class="snns text">{X | Γ ⊢ X : W}</td>
-            <td class="snns plane wine">local typed abstraction *</td>
-            <td class="snns text wine">Γ ⊢ +λW</td>
-            <td class="snns text wine">ⓐV</td>
-            <td class="snns text wine">→β</td>
-            <td class="snns text wine">no</td>
-            <td class="ssns text wine">#i</td>
-          </tr>
-          <tr>
-            <td class="nnns text">
-              <br />
-            </td>
-            <td class="snns plane magenta">local typed declaration **</td>
-            <td class="snns text magenta">Γ ⊢ -λW</td>
-            <td class="snns text magenta">ⓐV</td>
-            <td class="snns text magenta">→β</td>
-            <td class="snns text magenta">no</td>
-            <td class="ssns text magenta">#i</td>
-          </tr>
-          <tr>
-            <td class="nnns text">
-              <br />
-            </td>
-            <td class="snns plane prune">global typed declaration ***</td>
-            <td class="snns text prune">Γ ⊢ pλW</td>
-            <td class="snns text prune">no</td>
-            <td class="snns text prune">no</td>
-            <td class="snns text prune">no</td>
-            <td class="ssns text prune">$p</td>
-          </tr>
-          <tr>
-            <td class="nnns text">
-              <br />
-            </td>
-            <td class="snns plane blue">native type annotation *</td>
-            <td class="snns text blue">Γ ⊢ ⓝW</td>
-            <td class="snns text blue">no</td>
-            <td class="snns text blue">no</td>
-            <td class="snns text blue">yes</td>
-            <td class="ssns text blue">no</td>
-          </tr>
-          <tr>
-            <td class="snns text">{X | Γ ⊢ X = V}</td>
-            <td class="snns plane sky">local abbreviation *</td>
-            <td class="snns text sky">Γ ⊢ +δV</td>
-            <td class="snns text sky">no</td>
-            <td class="snns text sky">local →δ</td>
-            <td class="snns text sky">yes</td>
-            <td class="ssns text sky">#i</td>
-          </tr>
-          <tr>
-            <td class="nnns text">
-              <br />
-            </td>
-            <td class="snns plane cyan">local definition **</td>
-            <td class="snns text cyan">Γ ⊢ -δV</td>
-            <td class="snns text cyan">no</td>
-            <td class="snns text cyan">local →δ</td>
-            <td class="snns text cyan">no</td>
-            <td class="ssns text cyan">#i</td>
-          </tr>
-          <tr>
-            <td class="nnns text">
-              <br />
-            </td>
-            <td class="snns plane water">global definition ***</td>
-            <td class="snns text water">Γ ⊢ pδV</td>
-            <td class="snns text water">no</td>
-            <td class="snns text water">global →δ</td>
-            <td class="snns text water">no</td>
-            <td class="ssns text water">$p</td>
-          </tr>
-          <tr>
-            <td class="snss text">no</td>
-            <td class="snss plane green">sort ****</td>
-            <td class="snss text green">Γ ⊢ ⋆k</td>
-            <td class="snss text green">no</td>
-            <td class="snss text green">no</td>
-            <td class="snss text green">no</td>
-            <td class="ssss text green">no</td>
-          </tr>
-        </tbody>
-      </table>
-    </div>
-   <div xmlns:ld="http://lambdadelta.info/" class="text">* In terms only.
-         ** In terms and local environments only.
-         *** In global environments only.
-         **** Sort level k in terms only.
-   </div>
+
 
    <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
    <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
@@ -163,29 +58,29 @@
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">319  </td>
+            <td class="snnn number cyan">332  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">529971</td>
+            <td class="snnn number cyan">558713</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1452933</td>
+            <td class="ssnn number cyan">1519426</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">96</td>
+            <td class="snnn number green">107</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">1068</td>
+            <td class="snnn number green">1136</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">1164</td>
+            <td class="ssnn number green">1243</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">49</td>
+            <td class="snsn number yellow">50</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">77</td>
+            <td class="snsn number yellow">79</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">126</td>
+            <td class="sssn number yellow">129</td>
           </tr>
         </tbody>
       </table>
@@ -200,8 +95,16 @@
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">In progress.</span>
-         Closure of context-sensitive extended computation
-         for native validity.
+         Closure of native validity
+        for context-sensitive extended computation.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 April 16.</span>
+         lazy equivalence for local environments
+        serves as irrelevant step in "big tree" computation
+         (anniversary milestone).
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
@@ -255,7 +158,7 @@
    <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 (not released).
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
@@ -431,8 +334,8 @@
               <br />
             </td>
             <td class="snns plane cyan">strongly normalizing extended computation</td>
-            <td class="snns file cyan">lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )</td>
-            <td class="snnn file cyan">lcosx_cpxs</td>
+            <td class="snns file cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
+            <td class="snnn file cyan">lcosx_cpx</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -447,11 +350,9 @@
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">lsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )</td>
-            <td class="snnn file cyan">lsx_ldrop lsx_cpxs lsx_csx</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns file cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
+            <td class="snnn file cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
+            <td class="snnn file cyan">lsx_ldrop lsx_lpx lsx_lpxs llsx_csx</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -481,7 +382,7 @@
             </td>
             <td class="snns file cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
             <td class="snnn file cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
-            <td class="snnn file cyan">csx_lift csx_lpx csx_lpxs csx_fpbs</td>
+            <td class="snnn file cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -492,7 +393,7 @@
             </td>
             <td class="snns plane cyan">"big tree" parallel computation</td>
             <td class="snns file cyan">fpbg ( ⦃?,?,?⦄ &gt;⋕[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpbg_lift fpbg_fpns fpbg_fpbg</td>
+            <td class="snnn file cyan">fpbg_lift fpbg_fleq fpbg_fpbg</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -508,7 +409,7 @@
               <br />
             </td>
             <td class="snns file cyan">fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpbc_fpns fpbc_fpbs</td>
+            <td class="snnn file cyan">fpbc_fleq fpbc_fpbs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -524,10 +425,8 @@
               <br />
             </td>
             <td class="snns file cyan">fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpbu_lift fpbu_fpns</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snnn file cyan">fpbu_lift fpbu_lleq</td>
+            <td class="snnn file cyan">fpbu_fleq</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -541,21 +440,7 @@
             </td>
             <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
             <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpbs_lift fpbs_aaa fpbs_fpns fpbs_fpbs fpbs_ext</td>
-            <td class="ssnn file cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
-              <br />
-            </td>
-            <td class="snns plane cyan">parallel computation for "big tree" normal forms</td>
-            <td class="snns file cyan">fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpns_fpns</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snnn file cyan">fpbs_lift fpbs_fleq fpbs_aaa fpbs_fpbs fpbs_ext</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -704,7 +589,7 @@
               <br />
             </td>
             <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
-            <td class="snnn file water">cpx_leq cpx_lift cpx_lleq cpx_cix</td>
+            <td class="snnn file water">cpx_leq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -776,7 +661,7 @@
               <br />
             </td>
             <td class="snns file water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
-            <td class="snnn file water">cpr_lift cpr_cir</td>
+            <td class="snnn file water">cpr_lift cpr_llpx_sn cpr_cir</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -856,7 +741,7 @@
             </td>
             <td class="snns plane grass">atomic arity assignment</td>
             <td class="snns file grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
-            <td class="snnn file grass">aaa_lift aaa_lifts aaa_fqus aaa_da aaa_ssta aaa_aaa</td>
+            <td class="snnn file grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_da aaa_ssta aaa_aaa</td>
             <td class="snnn file grass">
               <br />
             </td>
@@ -870,7 +755,7 @@
             </td>
             <td class="snns plane grass">stratified static type assignment</td>
             <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
-            <td class="snnn file grass">ssta_lift ssta_ssta</td>
+            <td class="snnn file grass">ssta_lift ssta_lpx_sn ssta_ssta</td>
             <td class="snnn file grass">
               <br />
             </td>
@@ -936,9 +821,39 @@
           </tr>
           <tr>
             <td class="snns component yellow">substitution</td>
+            <td class="snns plane yellow">lazy equivalence</td>
+            <td class="snns file yellow">fleq ( ⦃?,?,?⦄ ⋕[?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fleq_fleq</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="nnns plane yellow">
+              <br />
+            </td>
+            <td class="snns file yellow">lleq ( ? ⋕[?,?] ? )</td>
+            <td class="snnn file yellow">lleq_alt lleq_leq lleq_ldrop lleq_fqus lleq_lleq</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
             <td class="snns plane yellow">iterated structural successor for closures</td>
             <td class="snns file yellow">fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )</td>
-            <td class="snnn file yellow">fqus_alt fqus_lleq fqus_fqus</td>
+            <td class="snnn file yellow">fqus_alt fqus_fqus</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -954,7 +869,7 @@
               <br />
             </td>
             <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
-            <td class="snnn file yellow">fqup_lleq fqup_fqup</td>
+            <td class="snnn file yellow">fqup_fqup</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -1021,7 +936,9 @@
             <td class="snns plane orange">structural successor for closures</td>
             <td class="snns file orange">fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
             <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</td>
-            <td class="snnn file orange">fquq_lleq</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
             <td class="ssnn file orange">
               <br />
             </td>
@@ -1034,7 +951,9 @@
               <br />
             </td>
             <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
-            <td class="snnn file orange">fqu_lleq</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1060,9 +979,11 @@
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="snns plane orange">lazy equivalence for local environments</td>
-            <td class="snns file orange">lleq ( ? ⋕[?,?] ? )</td>
-            <td class="snnn file orange">lleq_leq lleq_ldrop lleq_lleq</td>
+            <td class="snns plane orange">pointwise union for local environments</td>
+            <td class="snns file orange">llor ( ? ⩖[?] ? ≡ ? )</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1074,9 +995,25 @@
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="snns plane orange">lazy pointwise extension of a relation</td>
+            <td class="snns plane orange">pointwise extension of a relation</td>
             <td class="snns file orange">llpx_sn</td>
-            <td class="snnn file orange">llpx_sn_leq llpx_sn_ldrop</td>
+            <td class="snnn file orange">llpx_sn_alt llpx_sn_tc llpx_sn_leq llpx_sn_ldrop llpx_sn_lpx_sn</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="nnns plane orange">
+              <br />
+            </td>
+            <td class="snns file orange">lpx_sn</td>
+            <td class="snnn file orange">lpx_sn_alt lpx_sn_tc lpx_sn_ldrop lpx_sn_lpx_sn</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1090,7 +1027,7 @@
             </td>
             <td class="snns plane orange">basic local env. slicing</td>
             <td class="snns file orange">ldrop ( ⇩[?,?,?] ? ≡ ? )</td>
-            <td class="snnn file orange">ldrop_lpx_sn ldrop_leq ldrop_ldrop</td>
+            <td class="snnn file orange">ldrop_leq ldrop_ldrop</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1120,7 +1057,7 @@
               <br />
             </td>
             <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
-            <td class="snnn file orange">lift_lift</td>
+            <td class="snnn file orange">lift_neq lift_lift</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1140,20 +1077,6 @@
               <br />
             </td>
           </tr>
-          <tr>
-            <td class="nnns component red">
-              <br />
-            </td>
-            <td class="snns plane red">pointwise extension of a relation</td>
-            <td class="snns file red">lpx_sn</td>
-            <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
-            <td class="snnn file red">
-              <br />
-            </td>
-            <td class="ssnn file red">
-              <br />
-            </td>
-          </tr>
           <tr>
             <td class="nnns component red">
               <br />
@@ -1290,6 +1213,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 11 Mar 2014 19:37:30 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 16 Apr 2014 18:29:12 +0200</div>
 </body>
 </html>

diff --git a/helm/www/lambdadelta/ground_2.html b/helm/www/lambdadelta/ground_2.html
index 24b659ee19b149beba1f739416f7434f74b1ea20..4a974860814ccddd23a9c916cc27e64c8d6c01ac 100644 (file)
--- a/helm/www/lambdadelta/ground_2.html
+++ b/helm/www/lambdadelta/ground_2.html
@@ -58,27 +58,27 @@
             <td class="snns plane cyan">files</td>
             <td class="snnn number cyan">31  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">72551</td>
+            <td class="snnn number cyan">75142</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">58038</td>
+            <td class="ssnn number cyan">59679</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
             <td class="snnn number green">2</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">173</td>
+            <td class="snnn number green">177</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">175</td>
+            <td class="ssnn number green">179</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">40</td>
+            <td class="snsn number yellow">41</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">24</td>
+            <td class="snsn number yellow">25</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">64</td>
+            <td class="sssn number yellow">66</td>
           </tr>
         </tbody>
       </table>
@@ -234,6 +234,6 @@
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       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 11 Mar 2014 19:37:30 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 16 Apr 2014 18:12:00 +0200</div>
 </body>
 </html>