update in ground_2 and basic_2 ...

[helm.git] / helm / www / lambdadelta / basic_2.html

diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html
index 1d89601876e0a0265bd633aa204801c0feeb1b17..88c3e88ebcba141e184295966b48e8e6056c82ac 100644 (file)
--- a/helm/www/lambdadelta/basic_2.html
+++ b/helm/www/lambdadelta/basic_2.html
@@ -6,8 +6,8 @@
     <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
     <meta http-equiv="Content-Style-Type" content="text/css" />
     <meta name="author" content="Ferruccio Guidi" />
-    <meta name="description" content="lambdadelta version 2" />
-    <title>lambdadelta version 2</title>
+    <meta name="description" content="\lambda\delta version 2" />
+    <title>\lambda\delta version 2</title>
     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
     <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
@@ -163,29 +163,29 @@
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">307  </td>
+            <td class="snnn number cyan">319  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">488137</td>
+            <td class="snnn number cyan">529971</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1416510</td>
+            <td class="ssnn number cyan">1452933</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">90</td>
+            <td class="snnn number green">96</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">956</td>
+            <td class="snnn number green">1068</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">1046</td>
+            <td class="ssnn number green">1164</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">48</td>
+            <td class="snsn number yellow">49</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">75</td>
+            <td class="snsn number yellow">77</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">123</td>
+            <td class="sssn number yellow">126</td>
           </tr>
         </tbody>
       </table>
@@ -204,6 +204,14 @@
          for native validity.
    </li>
     </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 January 20.</span>
+         Parametrized slicing for 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/">
       <li>
         <span class="date">2013 August 7.</span>
@@ -380,7 +388,7 @@
           </tr>
           <tr>
             <td class="snns component cyan">computation</td>
-            <td class="snns plane cyan">context-sensitive extended evaluation</td>
+            <td class="snns plane cyan">evaluation for context-sensitive extended reduction</td>
             <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
             <td class="snnn file cyan">
               <br />
@@ -396,7 +404,7 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">context-sensitive evaluation</td>
+            <td class="snns plane cyan">evaluation for context-sensitive reduction</td>
             <td class="snns file cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
             <td class="snnn file cyan">cpre_cpre</td>
             <td class="snnn file cyan">
@@ -423,8 +431,24 @@
               <br />
             </td>
             <td class="snns plane cyan">strongly normalizing extended computation</td>
-            <td class="snns file cyan">lsx ( ? ⊢ ⬊*[?,?,?] ? )</td>
-            <td class="snnn file cyan">lsx_cpxs lsx_csx</td>
+            <td class="snns file cyan">lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )</td>
+            <td class="snnn file cyan">lcosx_cpxs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <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>
@@ -457,7 +481,7 @@
             </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_fpbs</td>
+            <td class="snnn file cyan">csx_lift csx_lpx csx_lpxs csx_fpbs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -517,7 +541,7 @@
             </td>
             <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
             <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file cyan">fpbs_lift fpbs_fpns fpbs_fpbs</td>
+            <td class="snnn file cyan">fpbs_lift fpbs_aaa fpbs_fpns fpbs_fpbs fpbs_ext</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -570,7 +594,7 @@
               <br />
             </td>
             <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
-            <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
+            <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_leq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -636,7 +660,7 @@
             <td class="snns component water">reduction</td>
             <td class="snns plane water">"big tree" parallel reduction</td>
             <td class="snns file water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn file water">fpb_lift</td>
+            <td class="snnn file water">fpb_lift fpb_aaa</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -648,8 +672,8 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-sensitive extended normal forms</td>
-            <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )</td>
+            <td class="snns plane water">normal forms for context-sensitive extended reduction</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 />
@@ -664,7 +688,7 @@
             </td>
             <td class="snns plane water">context-sensitive extended reduction</td>
             <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
-            <td class="snnn file water">lpx_leq lpx_ldrop lpx_lleq lpx_aaa</td>
+            <td class="snnn file water">lpx_ldrop lpx_lleq lpx_aaa</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -680,7 +704,7 @@
               <br />
             </td>
             <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
-            <td class="snnn file water">cpx_leq cpx_lift cpx_cix</td>
+            <td class="snnn file water">cpx_leq cpx_lift cpx_lleq cpx_cix</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -692,9 +716,9 @@
             <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="snns plane water">irreducible forms for context-sensitive extended reduction</td>
+            <td class="snns file water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
+            <td class="snnn file water">cix_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -706,9 +730,9 @@
             <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="snns plane water">reducible forms for context-sensitive extended reduction</td>
+            <td class="snns file water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
+            <td class="snnn file water">crx_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -720,8 +744,8 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-sensitive normal forms</td>
-            <td class="snns file water">cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )</td>
+            <td class="snns plane water">normal forms for context-sensitive reduction</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 />
@@ -764,9 +788,9 @@
             <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="snns plane water">irreducible forms for context-sensitive reduction</td>
+            <td class="snns file water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
+            <td class="snnn file water">cir_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -778,9 +802,9 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-sensitive reducible forms</td>
-            <td class="snns file water">crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )</td>
-            <td class="snnn file water">crr_append crr_lift</td>
+            <td class="snns plane water">reducible forms for context-sensitive reduction</td>
+            <td class="snns file water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
+            <td class="snnn file water">crr_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -832,7 +856,7 @@
             </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_da aaa_ssta aaa_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">
               <br />
             </td>
@@ -897,21 +921,21 @@
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">substitution</td>
-            <td class="snns plane yellow">restricted local env. ref.</td>
-            <td class="snns file yellow">lsubr ( ? ⊑ ? )</td>
-            <td class="snnn file yellow">lsubr_lsubr</td>
-            <td class="snnn file yellow">
+            <td class="nnns component grass">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="snns plane grass">restricted local env. ref.</td>
+            <td class="snns file grass">lsubr ( ? ⊑ ? )</td>
+            <td class="snnn file grass">lsubr_lsubr</td>
+            <td class="snnn file grass">
               <br />
             </td>
-          </tr>
-          <tr>
-            <td class="nnns component yellow">
+            <td class="ssnn file grass">
               <br />
             </td>
+          </tr>
+          <tr>
+            <td class="snns component yellow">substitution</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>
@@ -942,8 +966,8 @@
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="snns plane yellow">generic local env. slicing</td>
-            <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
+            <td class="snns plane yellow">iterated local env. slicing</td>
+            <td class="snns file yellow">ldrops ( ⇩*[?,?] ? ≡ ? )</td>
             <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
             <td class="snnn file yellow">
               <br />
@@ -1018,13 +1042,27 @@
               <br />
             </td>
           </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">global env. slicing</td>
+            <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
+            <td class="snnn file orange">gdrop_gdrop</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="snns plane orange">lazy equivalence for local environments</td>
             <td class="snns file orange">lleq ( ? ⋕[?,?] ? )</td>
-            <td class="snnn file orange">lleq_lleq</td>
+            <td class="snnn file orange">lleq_leq lleq_ldrop lleq_lleq</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1036,9 +1074,9 @@
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="snns plane orange">global env. slicing</td>
-            <td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td>
-            <td class="snnn file orange">gdrop_gdrop</td>
+            <td class="snns plane orange">lazy 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">
               <br />
             </td>
@@ -1051,8 +1089,8 @@
               <br />
             </td>
             <td class="snns plane orange">basic local env. slicing</td>
-            <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
-            <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_leq ldrop_ldrop</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">
               <br />
             </td>
@@ -1093,10 +1131,8 @@
           <tr>
             <td class="snns component red">grammar</td>
             <td class="snns plane red">equivalence for local environments</td>
-            <td class="snns file red">leq ( ? ≃[?,?] ? ) </td>
-            <td class="snnn file red">
-              <br />
-            </td>
+            <td class="snns file red">leq ( ? ≃[?,?] ? )</td>
+            <td class="snnn file red">leq_leq</td>
             <td class="snnn file red">
               <br />
             </td>
@@ -1137,8 +1173,8 @@
               <br />
             </td>
             <td class="snns plane red">closures</td>
-            <td class="snns file red">cl_shift ( ? @@ ? )</td>
-            <td class="snnn file red">cl_weight ( ♯{?,?,?} )</td>
+            <td class="snns file red">cl_weight ( ♯{?,?,?} )</td>
+            <td class="snnn file red">cl_restricted_weight ( ♯{?,?} )</td>
             <td class="snnn file red">
               <br />
             </td>
@@ -1254,6 +1290,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 14 Dec 2013 23:22:14 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 11 Mar 2014 19:37:30 +0100</div>
 </body>
 </html>