X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=007aded03ab5ea453de4ad46f28b87679602e84c;hb=3a47f3e553f17690908dfcacfdfa58c0da378a9b;hp=65cc576272074a037687a069d7ee017e89958ad5;hpb=e5077c96c584933ad1467e8066780b46d7b0468c;p=helm.git

diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html
index 65cc57627..007aded03 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">169  </td>
+            <td class="snnn number cyan">293  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">345703</td>
+            <td class="snnn number cyan">439998</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">964553</td>
+            <td class="ssnn number cyan">1286813</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">75</td>
+            <td class="snnn number green">91</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">710</td>
+            <td class="snnn number green">888</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">785</td>
+            <td class="ssnn number green">979</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">42</td>
+            <td class="snsn number yellow">49</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">66</td>
+            <td class="snsn number yellow">85</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">108</td>
+            <td class="sssn number yellow">134</td>
           </tr>
         </tbody>
       </table>
@@ -196,21 +200,33 @@
    <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 
+         Reaxiomatized substitution and reduction
          commute with respect to subclosure
          (anniversary milestone).
    </li>
@@ -219,7 +235,7 @@
       <li>
         <span class="date">2013 March 16.</span>
          Mutual recursive preservation of stratified native validity
-	 for hyper computation on closures.
+         for "big tree" computation on closures.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
@@ -231,7 +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/">
@@ -300,33 +316,9 @@
           </tr>
           <tr>
             <td class="snns component prune">dynamic typing</td>
-            <td class="snns plane prune">"big tree" parallel computation</td>
-            <td class="snns file prune">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
-            <td class="snnn file prune">yprs_yprs</td>
-            <td class="snnn file prune">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
-            <td class="ssnn file prune">ygt_ygt</td>
-          </tr>
-          <tr>
-            <td class="nnns component prune">
-              <br />
-            </td>
-            <td class="snns plane prune">"big tree" parallel reduction</td>
-            <td class="snns file prune">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
-            <td class="snnn file prune">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
-            <td class="snnn file prune">
-              <br />
-            </td>
-            <td class="ssnn file prune">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component prune">
-              <br />
-            </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_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</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>
@@ -339,8 +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_lpss snv_aaa snv_ssta snv_sstas snv_ssta_lpr snv_lpr snv_cpcs</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>
@@ -350,9 +342,9 @@
           </tr>
           <tr>
             <td class="snns component blue">equivalence</td>
-            <td class="snns plane blue">local env. ref. for stratified static type assignment</td>
-            <td class="snns file blue">lsubss ( ? •⊑[?] ? )</td>
-            <td class="snnn file blue">lsubss_ldrop lsubss_ssta lsubss_cpcs</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>
@@ -365,8 +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_lpss cpcs_aaa cpcs_cprs cpcs_cpcs</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>
@@ -377,7 +369,7 @@
           <tr>
             <td class="snns component sky">conversion</td>
             <td class="snns plane sky">context-sensitive conversion</td>
-            <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
+            <td class="snns file sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
             <td class="snnn file sky">cpc_cpc</td>
             <td class="snnn file sky">
               <br />
@@ -388,9 +380,11 @@
           </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 +396,9 @@
             <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">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 +410,21 @@
             <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="snns plane cyan">strongly normalizing "big tree" computation</td>
+            <td class="snns file cyan">fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )</td>
+            <td class="snnn file cyan">fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )</td>
+            <td class="snnn file cyan">fsb_fleq fsb_csx</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">strongly normalizing extended 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>
@@ -433,9 +439,109 @@
             <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">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>
+          </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="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">"big tree" parallel computation</td>
+            <td class="snns file cyan">fpbr ( ⦃?,?,?⦄ ⊃≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbr_fpbr</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">fpbg ( ⦃?,?,?⦄ &gt;[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbg_lift fpbg_fpbg</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">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_lift fpbs_fleq fpbs_fpbs</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">cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )</td>
+            <td class="snnn file cyan">cpds_lift cpds_aaa cpds_cpds</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="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 />
+            </td>
+            <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>
             <td class="ssnn file cyan">
               <br />
             </td>
@@ -445,9 +551,9 @@
               <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_lpss lprs_aaa lprs_cprs lprs_lprs</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>
@@ -459,8 +565,8 @@
             <td class="nnns plane cyan">
               <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="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+            <td class="snnn file cyan">cprs_lift cprs_cprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
@@ -473,7 +579,7 @@
               <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 />
@@ -488,7 +594,7 @@
             </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="ssnn file cyan">
               <br />
@@ -496,9 +602,9 @@
           </tr>
           <tr>
             <td class="snns component water">reduction</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 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>
@@ -510,9 +616,39 @@
             <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_lpss lpr_aaa lpr_lpr</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>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <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="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 lpx_lpx</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -527,8 +663,8 @@
             <td class="nnns plane water">
               <br />
             </td>
-            <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
-            <td class="snnn file water">cpr_lift cpr_cif</td>
+            <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+            <td class="snnn file water">cpx_lift cpx_cix cpx_cpx</td>
             <td class="snnn file water">
               <br />
             </td>
@@ -540,46 +676,106 @@
             <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="ssnn file water">cif_append</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="snns component green">unfold</td>
-            <td class="snns plane green">restricted parallel computation</td>
-            <td class="snns file green">lpqs ( ? ⊢ ➤* ? )</td>
-            <td class="snnn file green">lpqs_ldrop lpqs_cpqs lpqs_lpqs</td>
-            <td class="snnn file green">
+            <td class="nnns component water">
               <br />
             </td>
-            <td class="ssnn file green">
+            <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 green">
+            <td class="nnns component water">
               <br />
             </td>
-            <td class="nnns plane green">
+            <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="snns file green">cpqs ( ? ⊢ ? ➤* ? )</td>
-            <td class="snnn file green">cpqs_lift</td>
-            <td class="snnn file green">
+            <td class="ssnn file water">
               <br />
             </td>
-            <td class="ssnn file green">
+          </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>
+            <td class="ssnn file water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component green">
+            <td class="nnns component water">
+              <br />
+            </td>
+            <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>
+            <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>
+            <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>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component green">unfold</td>
             <td class="snns plane green">unfold</td>
-            <td class="snns file green">unfold ( ? ⊢ ? ⧫* ? )</td>
+            <td class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
             <td class="snnn file green">
               <br />
             </td>
@@ -594,21 +790,19 @@
             <td class="nnns component green">
               <br />
             </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_lpss sstas_aaa sstas_sstas</td>
-            <td class="snnn file 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">stratified static type assignment</td>
-            <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
-            <td class="snnn file grass">ssta_lift ssta_lpss ssta_aaa ssta_ssta</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>
@@ -620,9 +814,9 @@
             <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="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>
@@ -634,9 +828,9 @@
             <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_lpss aaa_aaa</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>
@@ -648,9 +842,9 @@
             <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="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>
@@ -659,38 +853,36 @@
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">substitution</td>
-            <td class="snns plane yellow">parallel substitution</td>
-            <td class="snns file yellow">lpss ( ? ⊢ ▶* ? )</td>
-            <td class="snnn file yellow">lpss_ldrop lpss_cpss lpss_lpss</td>
-            <td class="snnn file yellow">
+            <td class="nnns component grass">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <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>
-          </tr>
-          <tr>
-            <td class="nnns component yellow">
+            <td class="ssnn file grass">
               <br />
             </td>
-            <td class="nnns plane yellow">
+          </tr>
+          <tr>
+            <td class="nnns component grass">
               <br />
             </td>
-            <td class="snns file yellow">cpss ( ? ⊢ ? ▶* ? )</td>
-            <td class="snnn file yellow">cpss_lift</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">local env. ref. for substitution</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">
@@ -705,8 +897,8 @@
               <br />
             </td>
             <td class="snns plane yellow">iterated structural successor for closures</td>
-            <td class="snns file yellow">fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">fsups_fsups</td>
+            <td class="snns file yellow">fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fqus_alt fqus_fqus</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -721,8 +913,8 @@
             <td class="nnns plane yellow">
               <br />
             </td>
-            <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">fsupp_fsupp</td>
+            <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fqup_fqup</td>
             <td class="snnn file yellow">
               <br />
             </td>
@@ -787,10 +979,36 @@
           <tr>
             <td class="snns component orange">relocation</td>
             <td class="snns plane orange">structural successor for closures</td>
-            <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
+            <td class="snns file orange">fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fquq_fquq</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">fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fqu_fqu</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_fleq</td>
             <td class="snnn file orange">
               <br />
             </td>
@@ -888,7 +1106,7 @@
             </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">cl_weight ( ♯{?,?,?} )</td>
             <td class="snnn file red">
               <br />
             </td>
@@ -1004,6 +1222,6 @@
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 03 Jun 2013 16:24:28 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 03 Nov 2013 13:06:26 +0100</div>
 </body>
 </html>