]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/www/lambdadelta/basic_2.html
red butterfly added for version 1 :)
[helm.git] / helm / www / lambdadelta / basic_2.html
index 300521154b9879f4ebb0cb7bd257174491750384..11960faa39d3b015dd47669f41b060450112bcc8 100644 (file)
@@ -25,7 +25,7 @@
     </div>
 
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
+   <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">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"
       <table cellpadding="4" cellspacing="0">
         <tbody>
           <tr>
-            <td class="snns component grey">category</td>
-            <td class="snns plane grey">objects</td>
-            <td class="snnn number grey">
+            <td class="snns component gray">category</td>
+            <td class="snns plane gray">objects</td>
+            <td class="snnn number gray">
               <br />
             </td>
-            <td class="snnn plane grey">
+            <td class="snnn plane gray">
               <br />
             </td>
-            <td class="snnn number grey">
+            <td class="snnn number gray">
               <br />
             </td>
-            <td class="snnn plane grey">
+            <td class="snnn plane gray">
               <br />
             </td>
-            <td class="ssnn number grey">
+            <td class="ssnn number gray">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">328  </td>
+            <td class="snnn number cyan">362</td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">557560</td>
+            <td class="snnn number cyan">431125</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1522569</td>
+            <td class="ssnn number cyan">1829252</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">103</td>
+            <td class="snnn number green">123</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">1136</td>
+            <td class="snnn number green">1300</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">1239</td>
+            <td class="ssnn number green">1423</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">50</td>
+            <td class="snsn number yellow">54</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">77</td>
+            <td class="snsn number yellow">84</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">127</td>
+            <td class="sssn number yellow">138</td>
           </tr>
         </tbody>
       </table>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">In progress.</span>
-         Closure of native validity
-        for context-sensitive extended computation.
+        <span class="date">2014 June 18.</span>
+         Preservation of stratified native validity
+         for context-sensitive computation on terms.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 June 9.</span>
+         "Big tree" strong normalization
+         for simply typed terms.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2014 April 16.</span>
          lazy equivalence on local environments
-        serves as irrelevant step in "big tree" computation
+        serves as irrelevant step in "big tree" computation on closures
          (anniversary milestone).
    </li>
     </ul>
    </li>
     </ul>
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
+   <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">Logical Structure of the Specification</div>
    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
          according to the following table.
          Notation files covering the whole specification are provided.
       <table cellpadding="4" cellspacing="0">
         <tbody>
           <tr>
-            <td class="snns component grey">component</td>
-            <td class="snns plane grey">plane</td>
-            <td class="snns file grey">files</td>
-            <td class="snnn file grey">
+            <td class="snns component gray">component</td>
+            <td class="snns plane gray">plane</td>
+            <td class="snns file gray">files</td>
+            <td class="snnn file gray">
               <br />
             </td>
-            <td class="snnn file grey">
+            <td class="snnn file gray">
               <br />
             </td>
-            <td class="ssnn file grey">
+            <td class="ssnn file gray">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component wine">examples</td>
+            <td class="snns plane wine">terms with special features</td>
+            <td class="snns file wine">ex_cpr_omega</td>
+            <td class="snnn file wine">
+              <br />
+            </td>
+            <td class="snnn file wine">
+              <br />
+            </td>
+            <td class="ssnn file wine">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component magenta" />
+            <td class="snns plane magenta" />
+            <td class="snns file magenta" />
+            <td class="snnn file magenta">
+              <br />
+            </td>
+            <td class="snnn file magenta">
+              <br />
+            </td>
+            <td class="ssnn file magenta">
               <br />
             </td>
           </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_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
+            <td class="snnn file prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
             <td class="snnn file prune">
               <br />
             </td>
             </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_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs</td>
+            <td class="snnn file prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_cpcs snv_preserve</td>
             <td class="snnn file prune">
               <br />
             </td>
             </td>
             <td class="snns file cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
             <td class="snnn file cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
-            <td class="snnn file cyan">lsx_ldrop lsx_lpx lsx_lpxs llsx_csx</td>
+            <td class="snnn file cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
             <td class="ssnn file cyan">
               <br />
             </td>
               <br />
             </td>
             <td class="snns plane cyan">"big tree" parallel computation</td>
-            <td class="snns file cyan">fpbg ( â¦\83?,?,?â¦\84 &gt;â\8b\95[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snns file cyan">fpbg ( â¦\83?,?,?â¦\84 &gt;â\89¡[?,?] ⦃?,?,?⦄ )</td>
             <td class="snnn file cyan">fpbg_lift fpbg_fleq fpbg_fpbg</td>
             <td class="snnn file cyan">
               <br />
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">fpbc ( â¦\83?,?,?â¦\84 â\89»â\8b\95[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snns file cyan">fpbc ( â¦\83?,?,?â¦\84 â\89»â\89¡[?,?] ⦃?,?,?⦄ )</td>
             <td class="snnn file cyan">fpbc_fleq fpbc_fpbs</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_ldrop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
+            <td class="snnn file cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
             <td class="snnn file cyan">
               <br />
             </td>
             </td>
             <td class="snns plane cyan">context-sensitive computation</td>
             <td class="snns file cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
-            <td class="snnn file cyan">lprs_ldrop lprs_cprs lprs_lprs</td>
+            <td class="snnn file cyan">lprs_drop lprs_cprs lprs_lprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
             </td>
             <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</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">lsubc_drop lsubc_drops lsubc_lsuba</td>
             <td class="snnn file cyan">
               <br />
             </td>
             </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_lleq lpx_aaa</td>
-            <td class="snnn file water">
-              <br />
-            </td>
+            <td class="snnn file water">lpx_drop lpx_frees</td>
+            <td class="snnn file water">lpx_lleq lpx_aaa</td>
             <td class="ssnn file water">
               <br />
             </td>
             </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">lpr_drop lpr_lpr</td>
             <td class="snnn file water">
               <br />
             </td>
               <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="snns file green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
+            <td class="snnn file green">lstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?] ? )</td>
+            <td class="snnn file green">lstas_lift lstas_aaa lstas_da lstas_lstas</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="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>
             <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_fqus aaa_lleq aaa_da aaa_ssta aaa_aaa</td>
+            <td class="snns plane grass">degree assignment</td>
+            <td class="snns file grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
+            <td class="snnn file grass">da_lift da_aaa da_sta da_da</td>
             <td class="snnn file grass">
               <br />
             </td>
             <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_lpx_sn ssta_ssta</td>
+            <td class="snns plane grass">static type assignment</td>
+            <td class="snns file grass">sta ( ⦃?,?⦄ ⊢ ? •[?] ? )</td>
+            <td class="snnn file grass">sta_lift sta_lpx_sn sta_aaa sta_sta</td>
             <td class="snnn file grass">
               <br />
             </td>
             <td class="nnns component 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="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="nnns component 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="snns plane grass">local env. ref. for atomic arity assignment</td>
+            <td class="snns file grass">lsuba ( ? ⊢ ? ⁝⫃ ? )</td>
+            <td class="snnn file grass">lsuba_aaa lsuba_lsuba</td>
             <td class="snnn file grass">
               <br />
             </td>
             <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">atomic arity assignment</td>
+            <td class="snns file grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
+            <td class="snnn file grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
             <td class="snnn file grass">
               <br />
             </td>
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">substitution</td>
+            <td class="snns component yellow">multiple substitution</td>
             <td class="snns plane yellow">lazy equivalence</td>
-            <td class="snns file yellow">fleq ( â¦\83?,?,?â¦\84 â\8b\95[?] ⦃?,?,?⦄ )</td>
+            <td class="snns file yellow">fleq ( â¦\83?,?,?â¦\84 â\89¡[?] ⦃?,?,?⦄ )</td>
             <td class="snnn file yellow">fleq_fleq</td>
             <td class="snnn file yellow">
               <br />
             <td class="nnns plane yellow">
               <br />
             </td>
-            <td class="snns file yellow">lleq ( ? â\8b\95[?,?] ? )</td>
-            <td class="snnn file yellow">lleq_alt lleq_leq lleq_ldrop lleq_fqus lleq_lleq</td>
+            <td class="snns file yellow">lleq ( ? â\89¡[?,?] ? )</td>
+            <td class="snnn file yellow">lleq_alt lleq_alt_rec lleq_leq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
             <td class="snnn file yellow">
               <br />
             </td>
               <br />
             </td>
           </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">lazy pointwise extension of a relation</td>
+            <td class="snns file yellow">llpx_sn</td>
+            <td class="snnn file yellow">llpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_leq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor</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">pointwise union for local environments</td>
+            <td class="snns file yellow">llor ( ? ⩖[?,?] ? ≡ ? )</td>
+            <td class="snnn file yellow">llor_alt llor_drop</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">context-sensitive exclusion from free variables</td>
+            <td class="snns file yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
+            <td class="snnn file yellow">frees_append frees_leq frees_lift</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">contxt-sensitive extended multiple substitution</td>
+            <td class="snns file yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
+            <td class="snnn file yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
+            <td class="snnn file yellow">cpys_lift cpys_cpys</td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
           <tr>
             <td class="nnns component yellow">
               <br />
               <br />
             </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="snns file yellow">drops ( ⇩*[?,?] ? ≡ ? )</td>
+            <td class="snnn file yellow">drops_drop drops_drops</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="ssnn file yellow">gr2_gr2</td>
           </tr>
           <tr>
-            <td class="snns component orange">relocation</td>
+            <td class="snns component orange">substitution</td>
             <td class="snns plane orange">structural successor for closures</td>
             <td class="snns file orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
             <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
               <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 file orange">gget ( ⇩[?] ? ≡ ? )</td>
+            <td class="snnn file orange">gget_gget</td>
             <td class="snnn file orange">
               <br />
             </td>
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="snns plane orange">pointwise union for local environments</td>
-            <td class="snns file orange">llor ( ? ⩖[?] ? ≡ ? )</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
+            <td class="snns plane orange">contxt-sensitive extended ordinary substitution</td>
+            <td class="snns file orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
+            <td class="snnn file orange">cpy_lift cpy_nlift cpy_cpy</td>
             <td class="snnn file orange">
               <br />
             </td>
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="snns plane orange">pointwise extension of a relation</td>
-            <td class="snns file orange">llpx_sn</td>
-            <td class="snnn file orange">llpx_sn_alt llpx_sn_tc llpx_sn_leq llpx_sn_ldrop llpx_sn_lpx_sn</td>
+            <td class="snns plane orange">local env. ref. for extended substitution</td>
+            <td class="snns file orange">lsuby ( ? ⊑×[?,?] ? )</td>
+            <td class="snnn file orange">lsuby_lsuby</td>
             <td class="snnn file orange">
               <br />
             </td>
             <td class="nnns component orange">
               <br />
             </td>
-            <td class="nnns plane orange">
-              <br />
-            </td>
+            <td class="snns plane orange">pointwise extension of a relation</td>
             <td class="snns file orange">lpx_sn</td>
-            <td class="snnn file orange">lpx_sn_alt lpx_sn_tc lpx_sn_ldrop lpx_sn_lpx_sn</td>
+            <td class="snnn file orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
             <td class="snnn file orange">
               <br />
             </td>
               <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_leq ldrop_ldrop</td>
+            <td class="snns file orange">drop ( ⇩[?,?,?] ? ≡ ? )</td>
+            <td class="snnn file orange">drop_append drop_leq drop_drop</td>
             <td class="snnn file orange">
               <br />
             </td>
           <tr>
             <td class="snns component red">grammar</td>
             <td class="snns plane red">equivalence for local environments</td>
-            <td class="snns file red">leq ( ? â\89\83[?,?] ? )</td>
+            <td class="snns file red">leq ( ? â©¬[?,?] ? )</td>
             <td class="snnn file red">leq_leq</td>
             <td class="snnn file red">
               <br />
               <br />
             </td>
             <td class="snns plane red">same top term constructor</td>
-            <td class="snns file red">tstc ( ? â\89\83 ? )</td>
+            <td class="snns file red">tstc ( ? â\89\82 ? )</td>
             <td class="snnn file red">tstc_tstc tstc_vector</td>
             <td class="snnn file red">
               <br />
       </table>
     </div>
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
+   <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">Physical Structure of the Specification</div>
    <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
          one for each component.
    </div>
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 18 Apr 2014 21:10:22 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 07 Jul 2014 23:14:52 +0200</div>
 </body>
 </html>