X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=2fd65b8cd1e980dca197760d1c519ce671381393;hb=8913001064f595c21ed4234884e7c370be2afb52;hp=38fbd5bfd78e74ef9bc8ddc9697cc8bd24404d2a;hpb=1803d1fffde06228891b7e49e0f93d7a13076906;p=helm.git

diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html
index 38fbd5bfd..2fd65b8cd 100644
--- a/helm/www/lambdadelta/basic_2.html
+++ b/helm/www/lambdadelta/basic_2.html
@@ -133,6 +133,10 @@
    <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
          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">
       <table cellpadding="4" cellspacing="0">
@@ -159,29 +163,29 @@
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">254  </td>
+            <td class="snnn number cyan">268  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">485487</td>
+            <td class="snnn number cyan">407502</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1296792</td>
+            <td class="ssnn number cyan">1213911</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">85</td>
+            <td class="snnn number green">83</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">1122</td>
+            <td class="snnn number green">826</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">1207</td>
+            <td class="ssnn number green">909</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">46</td>
+            <td class="snsn number yellow">44</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">82</td>
+            <td class="snsn number yellow">81</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">128</td>
+            <td class="sssn number yellow">125</td>
           </tr>
         </tbody>
       </table>
@@ -196,17 +200,44 @@
    <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
+        <span class="date">2013 August 7.</span>
+         Passive support for global environments.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 July 27.</span>
+         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>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 April 16.</span>
+         Reaxiomatized substitution and reduction
+         commute with respect to subclosure
+         (anniversary milestone).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 March 16.</span>
+         Mutual recursive preservation of stratified native validity
+         for hyper computation on closures.
+   </li>
+    </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2012 October 16.</span>
@@ -216,7 +247,7 @@
    <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/">
@@ -279,9 +310,6 @@
             <td class="snnn file grey">
               <br />
             </td>
-            <td class="snnn file grey">
-              <br />
-            </td>
             <td class="ssnn file grey">
               <br />
             </td>
@@ -289,11 +317,8 @@
           <tr>
             <td class="snns component prune">dynamic typing</td>
             <td class="snns plane prune">local env. ref. for stratified native validity</td>
-            <td class="snns file prune">lsubsv ( ? ⊢ ? ⊩:⊑[?] ? )</td>
-            <td class="snnn file prune">lsubsv_ldrop lsubsv_ssta lsubsv_cpcs lsubsv_snv</td>
-            <td class="snnn file prune">
-              <br />
-            </td>
+            <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )</td>
+            <td class="snnn file prune">lsubsv_ldrop lsubsv_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
             <td class="snnn file prune">
               <br />
             </td>
@@ -306,11 +331,8 @@
               <br />
             </td>
             <td class="snns plane prune">stratified native validity</td>
-            <td class="snns file prune">snv ( ⦃?,?⦄ ⊩ ? :[?] )</td>
-            <td class="snnn file prune">snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs</td>
-            <td class="snnn file prune">
-              <br />
-            </td>
+            <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
+            <td class="snnn file prune">snv_lift snv_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs</td>
             <td class="snnn file prune">
               <br />
             </td>
@@ -320,48 +342,9 @@
           </tr>
           <tr>
             <td class="snns component blue">equivalence</td>
-            <td class="snns plane blue">focalized equivalence</td>
-            <td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
-            <td class="snnn file blue">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
-            <td class="snnn file blue">
-              <br />
-            </td>
-            <td class="ssnn file blue">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component blue">
-              <br />
-            </td>
-            <td class="nnns plane blue">
-              <br />
-            </td>
-            <td class="snns file blue">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
-            <td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
-            <td class="snnn file blue">
-              <br />
-            </td>
-            <td class="ssnn file blue">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component blue">
-              <br />
-            </td>
-            <td class="snns plane blue">local env. ref. for context-sensitive equivalence</td>
-            <td class="snns file blue">lsubse ( ? ⊢•⊑[?] ? )</td>
-            <td class="snnn file blue">lsubse_ldrop lsubse_ssta lsubse_cpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
+            <td class="snns plane blue">decomposed extended equivalence</td>
+            <td class="snns file blue">cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )</td>
+            <td class="snnn file blue">cpes_cpds</td>
             <td class="snnn file blue">
               <br />
             </td>
@@ -374,11 +357,8 @@
               <br />
             </td>
             <td class="snns plane blue">context-sensitive equivalence</td>
-            <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
-            <td class="snnn file blue">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
+            <td class="snns file blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
+            <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
             <td class="snnn file blue">
               <br />
             </td>
@@ -388,12 +368,9 @@
           </tr>
           <tr>
             <td class="snns component sky">conversion</td>
-            <td class="snns plane sky">focalized conversion</td>
-            <td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
-            <td class="snnn file sky">lfpc_lfpc</td>
-            <td class="snnn file sky">
-              <br />
-            </td>
+            <td class="snns plane sky">context-sensitive conversion</td>
+            <td class="snns file sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
+            <td class="snnn file sky">cpc_cpc</td>
             <td class="snnn file sky">
               <br />
             </td>
@@ -402,49 +379,40 @@
             </td>
           </tr>
           <tr>
-            <td class="nnns component sky">
-              <br />
-            </td>
-            <td class="nnns plane sky">
-              <br />
-            </td>
-            <td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
-            <td class="snnn file sky">fpc_fpc</td>
-            <td class="snnn file sky">
+            <td class="snns component cyan">computation</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 sky">
+            <td class="snnn file cyan">
               <br />
             </td>
-            <td class="ssnn file sky">
+            <td class="ssnn file cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component sky">
-              <br />
-            </td>
-            <td class="snns plane sky">context-sensitive conversion</td>
-            <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
-            <td class="snnn file sky">cpc_cpc</td>
-            <td class="snnn file sky">
+            <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snnn file sky">
+            <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>
-            <td class="ssnn file sky">
+            <td class="ssnn file cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component cyan">computation</td>
-            <td class="snns plane cyan">focalized computation</td>
-            <td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
-            <td class="snnn file cyan">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
-            <td class="snnn file cyan">
+            <td class="nnns component cyan">
               <br />
             </td>
+            <td class="snns plane cyan">strongly normalizing computation</td>
+            <td class="snns file cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+            <td class="snnn file cyan">csx_tstc_vector csx_aaa</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -459,14 +427,9 @@
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">fprs_aaa fprs_fprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="snnn file cyan">
-              <br />
-            </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</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -476,24 +439,8 @@
               <br />
             </td>
             <td class="snns plane cyan">"big tree" parallel computation</td>
-            <td class="snns file cyan">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">yprs_yprs</td>
-            <td class="snnn file cyan">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">ygt_ygt</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_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxpr_lsubss dxprs_dxprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns file cyan">fpbg ( ⦃?,?,?⦄ &gt;[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbg_lift fpbg_fpbg</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -505,15 +452,12 @@
             <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="snnn file cyan">
-              <br />
-            </td>
-            <td class="snnn file cyan">
+            <td class="nnns plane cyan">
               <br />
             </td>
+            <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_lift fpbs_fpbs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -522,12 +466,9 @@
             <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_cpr_vector csn_tstc_vector csn_aaa</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns plane cyan">decomposed extended computation</td>
+            <td class="snns file cyan">cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )</td>
+            <td class="snnn file cyan">cpds_lift cpds_aaa cpds_cpds</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -539,15 +480,10 @@
             <td class="nnns component cyan">
               <br />
             </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_cpr csn_lfpr</td>
-            <td class="snnn file 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>
@@ -556,12 +492,11 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">context-sensitive computation</td>
-            <td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td>
-            <td class="snnn file cyan">cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td>
-            <td class="snnn file cyan">
+            <td class="nnns plane cyan">
               <br />
             </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>
@@ -573,13 +508,10 @@
             <td class="nnns component cyan">
               <br />
             </td>
-            <td class="snns plane cyan">context-free computation</td>
-            <td class="snns file cyan">ltprs ( ? ➡* ? )</td>
-            <td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td>
-            <td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <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_cprs lprs_lprs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -591,11 +523,8 @@
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">tprs ( ? ➡* ?)</td>
-            <td class="snnn file cyan">tprs_lift tprs_tprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+            <td class="snnn file cyan">cprs_lift cprs_cprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -608,14 +537,11 @@
               <br />
             </td>
             <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
-            <td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td>
+            <td class="snns file cyan">lsubc ( ? ⊢ ? ⊑[?] ? )</td>
             <td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
             <td class="snnn file cyan">
               <br />
             </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -626,23 +552,17 @@
             </td>
             <td class="snns plane cyan">support for abstract computation properties</td>
             <td class="snns file cyan">acp</td>
-            <td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
+            <td class="snnn file cyan">acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
             <td class="snnn file cyan">acp_aaa</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component water">reducibility</td>
-            <td class="snns plane water">context-sensitive focalized reduction</td>
-            <td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
-            <td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
-            <td class="snnn file water">
-              <br />
-            </td>
+            <td class="snns component water">reduction</td>
+            <td class="snns plane water">"big tree" parallel reduction</td>
+            <td class="snns file water">fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file water">fpbc_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -654,10 +574,11 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-free focalized reduction</td>
-            <td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
-            <td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
-            <td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
+            <td class="nnns plane water">
+              <br />
+            </td>
+            <td class="snns file water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file water">fpb_lift</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -669,14 +590,9 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="nnns plane water">
-              <br />
-            </td>
-            <td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
-            <td class="snnn file water">fpr_cpr fpr_fpr</td>
-            <td class="snnn file water">
-              <br />
-            </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>
@@ -688,12 +604,9 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">"big tree" parallel reduction</td>
-            <td class="snns file water">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
-            <td class="snnn file water">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
-            <td class="snnn file 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>
             <td class="snnn file water">
               <br />
             </td>
@@ -705,12 +618,11 @@
             <td class="nnns component water">
               <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_lift cnf_cif</td>
-            <td class="snnn file water">
+            <td class="nnns plane water">
               <br />
             </td>
+            <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+            <td class="snnn file water">cpx_lift cpx_cix</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -722,12 +634,9 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-sensitive reduction</td>
-            <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
-            <td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
-            <td class="snnn file 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>
@@ -739,11 +648,12 @@
             <td class="nnns component water">
               <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="snnn file water">cif_append</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>
@@ -752,14 +662,23 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-free normal forms</td>
-            <td class="snns file water">thnf ( 𝐇𝐍⦃?⦄ )</td>
+            <td class="snns plane water">context-sensitive normal forms</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>
-            <td class="snnn file water">
+            <td class="ssnn file water">
               <br />
             </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive reduction</td>
+            <td class="snns file water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
+            <td class="snnn file water">lpr_ldrop lpr_lpr</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -771,12 +690,11 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-free reduction</td>
-            <td class="snns file water">ltpr ( ? ➡ ? )</td>
-            <td class="snnn file water">ltpr_ldrop ltpr_tps ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
-            <td class="snnn file water">
+            <td class="nnns plane water">
               <br />
             </td>
+            <td class="snns file water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
+            <td class="snnn file water">cpr_lift cpr_cir</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -788,14 +706,23 @@
             <td class="nnns component water">
               <br />
             </td>
-            <td class="nnns plane water">
+            <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>
-            <td class="snns file water">tpr ( ? ➡ ? )</td>
-            <td class="snnn file water">tpr_lift tpr_tps tpr_tpss tpr_delift tpr_tpr</td>
-            <td class="snnn file water">
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <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="snnn file water">
               <br />
             </td>
@@ -804,10 +731,9 @@
             </td>
           </tr>
           <tr>
-            <td class="snns component green">unwind</td>
-            <td class="snns plane green">iterated stratified static type assignment</td>
-            <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
-            <td class="snnn file green">sstas_lift sstas_ltpss_dx sstas_ltpss_sn sstas_aaa sstas_lsubss sstas_sstas</td>
+            <td class="snns component green">unfold</td>
+            <td class="snns plane green">unfold</td>
+            <td class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
             <td class="snnn file green">
               <br />
             </td>
@@ -819,13 +745,22 @@
             </td>
           </tr>
           <tr>
-            <td class="snns component grass">static typing</td>
-            <td class="snns plane grass">local env. ref. for stratified static type assignment</td>
-            <td class="snns file grass">lsubss ( ? •⊑[?] ? )</td>
-            <td class="snnn file grass">lsubss_ldrop lsubss_ssta lsubss_lsubss</td>
-            <td class="snnn file grass">
+            <td class="nnns component green">
+              <br />
+            </td>
+            <td class="snns plane green">iterated static type assignment</td>
+            <td class="snns file green">lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )</td>
+            <td class="snnn file green">lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )</td>
+            <td class="snnn file green">lsstas_lift lsstas_aaa lsstas_lsstas</td>
+            <td class="ssnn file green">
               <br />
             </td>
+          </tr>
+          <tr>
+            <td class="snns component grass">static typing</td>
+            <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
+            <td class="snns file grass">lsuba ( ? ⊢ ? ⁝⊑ ? )</td>
+            <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
             <td class="snnn file grass">
               <br />
             </td>
@@ -837,12 +772,9 @@
             <td class="nnns component grass">
               <br />
             </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_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td>
-            <td class="snnn file grass">
-              <br />
-            </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">
               <br />
             </td>
@@ -854,12 +786,9 @@
             <td class="nnns component grass">
               <br />
             </td>
-            <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
-            <td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td>
-            <td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
-            <td class="snnn file grass">
-              <br />
-            </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">
               <br />
             </td>
@@ -871,12 +800,9 @@
             <td class="nnns component grass">
               <br />
             </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_ltpss_dx aaa_ltpss_sn aaa_aaa</td>
-            <td class="snnn file grass">
-              <br />
-            </td>
+            <td class="snns plane grass">local env. ref. for degree assignment</td>
+            <td class="snns file grass">lsubd ( ? ⊢ ? ▪⊑ ? )</td>
+            <td class="snnn file grass">lsubd_da lsubd_lsubd</td>
             <td class="snnn file grass">
               <br />
             </td>
@@ -888,12 +814,9 @@
             <td class="nnns component grass">
               <br />
             </td>
-            <td class="snns plane grass">parameters</td>
-            <td class="snns file grass">sh</td>
-            <td class="snnn file grass">sd</td>
-            <td class="snnn file grass">
-              <br />
-            </td>
+            <td class="snns plane grass">degree assignment</td>
+            <td class="snns file grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
+            <td class="snnn file grass">da_lift da_da</td>
             <td class="snnn file grass">
               <br />
             </td>
@@ -902,28 +825,24 @@
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">unfold</td>
-            <td class="snns plane yellow">basic local env. thinning</td>
-            <td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">thin_ldrop thin_delift</td>
-            <td class="snnn file yellow">
+            <td class="nnns component grass">
               <br />
             </td>
-            <td class="snnn file yellow">
+            <td class="snns plane grass">parameters</td>
+            <td class="snns file grass">sh</td>
+            <td class="snnn file grass">sd</td>
+            <td class="snnn file grass">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn file grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
-              <br />
-            </td>
-            <td class="snns plane yellow">inverse basic term relocation</td>
-            <td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td>
+            <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">
               <br />
             </td>
@@ -935,10 +854,9 @@
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="snns plane yellow">partial unfold</td>
-            <td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</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_fqus</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -953,11 +871,8 @@
             <td class="nnns plane yellow">
               <br />
             </td>
-            <td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
+            <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fqup_fqup</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -965,21 +880,6 @@
               <br />
             </td>
           </tr>
-          <tr>
-            <td class="nnns component yellow">
-              <br />
-            </td>
-            <td class="nnns plane yellow">
-              <br />
-            </td>
-            <td class="snns file yellow">tpss ( ? ⊢ ? ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )</td>
-            <td class="snnn file yellow">tpss_lift</td>
-            <td class="snnn file yellow">tpss_tpss</td>
-            <td class="ssnn file yellow">
-              <br />
-            </td>
-          </tr>
           <tr>
             <td class="nnns component yellow">
               <br />
@@ -990,45 +890,6 @@
             <td class="snnn file yellow">
               <br />
             </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 restricted structural predecessor for closures</td>
-            <td class="snns file yellow">frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">frsups_frsups</td>
-            <td class="snnn file yellow">
-              <br />
-            </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">frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">frsupp_frsupp</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
             <td class="ssnn file yellow">
               <br />
             </td>
@@ -1043,9 +904,6 @@
             <td class="snnn file yellow">
               <br />
             </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
             <td class="ssnn file yellow">
               <br />
             </td>
@@ -1062,9 +920,6 @@
             <td class="snnn file yellow">
               <br />
             </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
             <td class="ssnn file yellow">
               <br />
             </td>
@@ -1077,22 +932,14 @@
             <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
             <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
             <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
-            <td class="snnn file yellow">gr2_gr2</td>
-            <td class="ssnn file yellow">
-              <br />
-            </td>
+            <td class="ssnn file yellow">gr2_gr2</td>
           </tr>
           <tr>
-            <td class="snns component orange">substitution</td>
-            <td class="snns plane orange">parallel substitution</td>
-            <td class="snns file orange">tps ( ? ⊢ ? ▶[?,?] ? )</td>
-            <td class="snnn file orange">tps_lift tps_tps</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
+            <td class="snns component orange">relocation</td>
+            <td class="snns plane orange">structural successor for closures</td>
+            <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</td>
             <td class="ssnn file orange">
               <br />
             </td>
@@ -1107,9 +954,6 @@
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
@@ -1120,44 +964,7 @@
             </td>
             <td class="snns plane orange">basic local env. slicing</td>
             <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
-            <td class="snnn file orange">ldrop_append ldrop_lpx ldrop_sfr ldrop_ldrop</td>
-            <td class="snnn file orange">
-              <br />
-            </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">local env. ref. for substitution</td>
-            <td class="snns file orange">lsubs ( ? ≼[?,?] ? )</td>
-            <td class="snnn file orange">(lsubs_lsubs)</td>
-            <td class="snnn file orange">lsubs_sfr ( ≽[?,?] ? )</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">restricted structural predecessor for closures</td>
-            <td class="snns file orange">frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
+            <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_ldrop</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -1175,9 +982,6 @@
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
@@ -1194,21 +998,15 @@
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component red">grammar</td>
-            <td class="snns plane red">same head term form</td>
-            <td class="snns file red">tshf ( ? ≈ ? )</td>
-            <td class="snnn file red">(tshf_tshf)</td>
-            <td class="snnn file 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>
@@ -1226,9 +1024,6 @@
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
@@ -1239,10 +1034,7 @@
             </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="snnn file red">
-              <br />
-            </td>
+            <td class="snnn file red">cl_weight ( ♯{?,?,?} )</td>
             <td class="snnn file red">
               <br />
             </td>
@@ -1262,9 +1054,6 @@
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
@@ -1279,8 +1068,7 @@
             <td class="snns file red">lenv</td>
             <td class="snnn file red">lenv_weight ( ♯{?} )</td>
             <td class="snnn file red">lenv_length ( |?| )</td>
-            <td class="snnn file red">lenv_append ( ? @@ ? )</td>
-            <td class="ssnn file red">lenv_px lenv_px_bi</td>
+            <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
           </tr>
           <tr>
             <td class="nnns component red">
@@ -1292,10 +1080,7 @@
             <td class="snns file red">term</td>
             <td class="snnn file red">term_weight ( ♯{?} )</td>
             <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
-            <td class="snnn file red">term_vector</td>
-            <td class="ssnn file red">
-              <br />
-            </td>
+            <td class="ssnn file red">term_vector</td>
           </tr>
           <tr>
             <td class="nnns component red">
@@ -1311,9 +1096,6 @@
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
@@ -1330,9 +1112,6 @@
             <td class="snsn file red">
               <br />
             </td>
-            <td class="snsn file red">
-              <br />
-            </td>
             <td class="sssn file red">
               <br />
             </td>
@@ -1371,6 +1150,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 11 Mar 2013 20:22:08 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 12 Oct 2013 19:38:34 +0200</div>
 </body>
 </html>