]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
advances on csx towards strong normalization of rt-computation ,,,
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl
index 9a292eeff4cc3ff7bea588f650ec958381dd9fb6..ed35813d29e72f0317eeffa4ddae8c5428ff01ba 100644 (file)
@@ -1,7 +1,7 @@
 name "basic_2_src"
 
 table {
-   class "grey"
+   class "gray"
    [ { "component" * } {
         [ { "plane" * } {
              [ "files" * ]
@@ -11,14 +11,14 @@ table {
    ]
 (*
    class "wine"
-   [ { "examples" * } {
+   [ { "" * } {
         [ { "" * } {
              [ "" * ]
           }
         ]
      }
    ]
-   class "magenta"
+(*   
    [ { "higher order dynamic typing" * } {
         [ { "higher order native type assignment" * } {
              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
@@ -27,11 +27,11 @@ table {
      }
    ]
 *)
-   class "prune"
+   class "magenta"
    [ { "dynamic typing" * } {
 (*
         [ { "local env. ref. for native type assignment" * } {
-             [ "lsubn ( ? â\8a¢ ? :â\8a\91 ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+             [ "lsubn ( ? â\8a¢ ? :â«\83 ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
           }
         ]
         [ { "native type assignment" * } {
@@ -40,19 +40,20 @@ table {
         ]
 *)
         [ { "local env. ref. for stratified native validity" * } {
-             [ "lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+             [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
           }
         ]
         [ { "stratified native validity" * } {
-             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_da_lpr" + "snv_aaa" + "snv_lsstas" + "snv_lsstas_lpr" + "snv_lpr" + "snv_cpcs" * ]
+             [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
+             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" * ]
           }
         ]
      }
    ]
-   class "blue"
+   class "prune"
    [ { "equivalence" * } {
-        [ { "decomposed extended equivalence" * } {
-             [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
+        [ { "decomposed rt-equivalence" * } {
+             [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
           }
         ]
         [ { "context-sensitive equivalence" * } {
@@ -61,7 +62,7 @@ table {
         ]
      }
    ]
-   class "sky"
+   class "blue"
    [ { "conversion" * } {
         [ { "context-sensitive conversion" * } {
              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
@@ -69,9 +70,11 @@ table {
         ]
      }
    ]
-   class "cyan"
-   [ { "computation" * } {
-        [ { "evaluation for context-sensitive extended reduction" * } {
+*)
+   class "sky"
+   [ { "rt-computation" * } {
+(*
+        [ { "evaluation for context-sensitive rt-reduction" * } {
              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
           }
         ]
@@ -79,233 +82,275 @@ table {
              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
           }
         ]
-        [ { "strongly normalizing \"big tree\" computation" * } {
-             [ "fsb ( â¦\83?,?â¦\84 â\8a¢ â¦¥[?,?] ? )" "fsb_alt ( â¦\83?,?â¦\84 â\8a¢ â¦¥â¦¥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
+        [ { "strongly normalizing qrst-computation" * } {
+             [ "fsb ( â¦¥[?,?] â¦\83?,?,?â¦\84 )" "fsb_alt ( â¦¥â¦¥[?,?] â¦\83?,?,?â¦\84 )" "fsb_aaa" + "fsb_csx" * ]
           }
         ]
-        [ { "strongly normalizing extended computation" * } {
-             [ "lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )" "lcosx_cpxs" * ]
-             [ "lsx ( ? â\8a¢ â\8b\95â¬\8a*[?,?,?,?] ? )" "lsx_ldrop" + "lsx_cpxs" + "lsx_csx" * ]
-             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
-             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
+        [ { "strongly normalizing rt-computation" * } {
+             [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
+             [ "lsx ( ? â\8a¢ â¬\8a*[?,?,?,?] ? )" "lsx_alt ( ? â\8a¢ â¬\8aâ¬\8a*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
+             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
           }
         ]
-        [ { "\"big tree\" parallel computation" * } {
-             [ "fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpns" + "fpbg_fpbg" * ]
-             [ "fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )" "fpbc_fpns" + "fpbc_fpbs" * ]
-             [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_fpns" * ]
-             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpns" + "fpbs_fpbs" + "fpbs_ext" * ]
+        [ { "parallel qrst-computation" * } {
+             [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
+             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
           }
         ]
-        [ { "parallel computation for \"big tree\" normal forms" * } {
-             [ "fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )" "fpns_fpns" * ]
+        [ { "decomposed rt-computation" * } {
+             [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
           }
         ]
-        [ { "decomposed extended computation" * } {
-             [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
+        [ { "context-sensitive computation" * } {
+             [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
+             [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
           }
         ]
-        [ { "context-sensitive extended computation" * } {
-             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
-             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_cpys" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
+*)        
+        [ { "uncounted context-sensitive rt-computation" * } {
+(*
+             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs_lreq" + "cpxs_lleq" + "cpxs_aaa" * ]
+*)
+             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )"  * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_tsts" + "csx_drops" + "csx_gcp" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
+             [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_fqup" + "lfpxs_cpxs" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_drops" + "cpxs_lsubr" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ] 
           }
         ]
-        [ { "context-sensitive computation" * } {
-             [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
-             [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
+     }
+   ]
+   class "cyan"
+   [ { "rt-transition" * } {
+        [ { "parallel rst-transition" * } {
+             [ "fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )" "fpbq_aaa" * ]
+             [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lfdeq" * ]
+          }
+        ]
+        [ { "t-bound context-sensitive rt-transition" * } {
+             [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
+             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
+             [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
           }
         ]
-        [ { "local env. ref. for abstract candidates of reducibility" * } {
-             [ "lsubc ( ? ⊢ ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
+        [ { "uncounted context-sensitive rt-transition" * } {
+             [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
+             [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_lfdeq" + "lfpx_aaa" + "lfpx_lfpx" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" * ]
           }
         ]
-        [ { "support for abstract computation properties" * } {
-             [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+        [ { "counted context-sensitive rt-transition" * } {
+             [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
           }
         ]
      }
    ]
    class "water"
-   [ { "reduction" * } {
-        [ { "\"big tree\" parallel reduction" * } {
-             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
+   [ { "iterated static typing" * } {
+        [ { "iterated extension on referred entries" * } {
+             [ "tc_lfxs ( ? ⦻**[?,?] ? )" * ]
           }
         ]
-        [ { "normal forms for context-sensitive extended reduction" * } {
-             [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+     }
+   ]
+   class "green"
+   [ { "static typing" * } {
+        [ { "generic reducibility" * } {
+             [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]        
+             [ "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
+             [ "gcp" *] 
           }
         ]
-        [ { "context-sensitive extended reduction" * } {
-             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_cpys" + "lpx_lleq" + "lpx_aaa" * ]
-             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cpys" + "cpx_lleq" + "cpx_cix" * ]
+        [ { "atomic arity assignment" * } {
+             [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
           }
         ]
-        [ { "irreducible forms for context-sensitive extended reduction" * } {
-             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
+        [ { "degree-based equivalence on referred entries" * } {
+             [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
+             [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfdeq" * ]
           }
         ]
-        [ { "reducible forms for context-sensitive extended reduction" * } {
-             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
+        [ { "generic extension on referred entries" * } {
+             [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
           }
         ]
-        [ { "normal forms for context-sensitive reduction" * } {
-             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+        [ { "context-sensitive free variables" * } {
+             [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
+             [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_drops" + "frees_fqup" + "frees_frees" * ]
           }
         ]
-        [ { "context-sensitive reduction" * } {
-             [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpr" * ]
-             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
+        [ { "restricted ref. for local env." * } {
+             [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
           }
         ]
-        [ { "irreducible forms for context-sensitive reduction" * } {
-             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+     }
+   ]
+   class "grass"
+   [ { "s-computation" * } {
+        [ { "iterated structural successor for closures" * } {
+             [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
+             [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
           }
         ]
-        [ { "reducible forms for context-sensitive reduction" * } {
-             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
+     }
+   ]
+   class "yellow"
+   [ { "s-transition" * } {
+        [ { "structural successor for closures" * } {
+             [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
           }
         ]
      }
    ]
-   class "green"
-   [ { "unfold" * } {
-        [ { "unfold" * } {
-             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+   class "orange"
+   [ { "relocation" * } {
+        [ { "generic slicing for local environments" * } {
+             [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
+             [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
           }
         ]
-        [ { "iterated static type assignment" * } {
-             [ "lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )" "lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )" "lsstas_lift" + "lsstas_aaa" + "lsstas_lsstas" * ]
+        [ { "generic relocation for terms" * } {
+             [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
+             [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
+          }
+        ]
+        [ { "ranged equivalence for local environments" * } {
+             [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
+          }
+        ]
+        [ { "generic entrywise extension" * } {
+             [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
           }
         ]
      }
    ]
-   class "grass"
-   [ { "static typing" * } {
-        [ { "local env. ref. for atomic arity assignment" * } {
-             [ "lsuba ( ? ⊢ ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
+   class "red"
+   [ { "syntax" * } {
+        [ { "append for local environments" * } {
+             [ "append ( ? @@ ? )" "append_length" * ]
           }
         ]
-        [ { "atomic arity assignment" * } {
-             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
+        [ { "same top term structure" * } {
+             [ "tsts ( ? ⩳[?,?] ? )" "tsts_simple" + "tsts_tdeq" + "tsts_tsts" + "tsts_simple_vector" * ]
           }
         ]
-        [ { "stratified static type assignment" * } {
-             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ssta" * ]
+        [ { "degree-based equivalence for terms" * } {
+             [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
           }
         ]
-        [ { "local env. ref. for degree assignment" * } {
-             [ "lsubd ( ? ⊢ ? ▪⊑ ? )" "lsubd_da" + "lsubd_lsubd" * ]
+        [ { "closures" * } {
+             [ "cl_weight ( ♯{?,?,?} )" * ]
+             [ "cl_restricted_weight ( ♯{?,?} )" * ]
           }
         ]
-        [ { "degree assignment" * } {
-             [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_da" * ]
+        [ { "global environments" * } {
+             [ "genv" * ]
           }
         ]
-        [ { "parameters" * } {
-             [ "sh" "sd" * ]
+        [ { "local environments" * } {
+             [ "lenv_length ( |?| )" * ]
+             [ "lenv_weight ( ♯{?} )" * ]
+             [ "lenv" * ]
           }
         ]
-     }
-   ]
-   class "yellow"
-   [ { "substitution" * } {
-        [ { "lazy equivalence for local environments" * } {
-             [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt ( ? ⋕⋕[?,?] ? )" "lleq_ldrop" + "lleq_fqus" + "lleq_lleq" + "lleq_ext" * ]
+        [ { "terms" * } {
+             [ "term_vector ( Ⓐ?.? )" * ]
+             [ "term_simple ( 𝐒⦃?⦄ )"  * ]
+             [ "term_weight ( ♯{?} )" * ]
+             [ "term" * ]
           }
         ]
-        [ { "contxt-sensitive extended multiple substitution" * } {
-             [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+        [ { "items" * } {
+             [ "item_sd" * ]
+             [ "item_sh" * ]
+             [ "item" * ]
           }
-        ]        
-        [ { "iterated structural successor for closures" * } {
-             [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
-             [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
+        ]
+        [ { "atomic arities" * } {
+             [ "aarity" * ]
           }
         ]
-        [ { "iterated local env. slicing" * } {
-             [ "ldrops ( ⇩*[?,?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+     }
+   ]
+}
+
+class "top"               { * }
+
+class "capitalize italic" { 0 }
+
+class "italic"            { 1 }
+(*
+        [ { "normal forms for context-sensitive rt-reduction" * } {
+             [ "cnx_crx" + "cnx_cix" * ]
           }
         ]
-        [ { "generic term relocation" * } {
-             [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
-             [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
+        [ { "irreducible forms for context-sensitive rt-reduction" * } {
+             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
           }
         ]
-        [ { "support for generic relocation" * } {
-             [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
+        [ { "reducible forms for context-sensitive rt-reduction" * } {
+             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
           }
         ]
-     }
-   ]
-   class "orange"
-   [ { "relocation" * } {
-        [ { "contxt-sensitive extended ordinary substitution" * } {
-             [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_cpy" * ]
+        [ { "normal forms for context-sensitive reduction" * } {
+             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+          }
+        ]
+        [ { "irreducible forms for context-sensitive reduction" * } {
+             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
           }
-        ]        
-        [ { "restricted local env. ref." * } {
-             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
+        ]
+        [ { "reducible forms for context-sensitive reduction" * } {
+             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
           }
         ]
-        [ { "local env. ref. for extended substitution" * } {
-             [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
+        [ { "unfold" * } {
+             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
           }
         ]
-        [ { "structural successor for closures" * } {
-             [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
-             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" * ]
+        [ { "iterated static type assignment" * } {
+             [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
           }
         ]
-        [ { "global env. slicing" * } {
-             [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
+        [ { "local env. ref. for degree assignment" * } {
+             [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
           }
         ]
-        [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
+        [ { "degree assignment" * } {
+             [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
           }
         ]
-        [ { "basic term relocation" * } {
-             [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
-             [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
+        [ { "context-sensitive multiple rt-substitution" * } {
+             [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
           }
         ]
-     }
-   ]
-   class "red"
-   [ { "grammar" * } {
-        [ { "equivalence for local environments" * } {
-             [ "leq ( ? ≃[?,?] ? )" "leq_leq" * ]
+        [ { "pointwise union for local environments" * } {
+             [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
           }
         ]
-        [ { "pointwise extension of a relation" * } {
-             [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
+        [ { "lazy pointwise extension of a relation" * } {
+             [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_lreq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
           }
         ]
-        [ { "same top term constructor" * } {
-             [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
+        [ { "global env. slicing" * } {
+             [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
           }
         ]
-        [ { "closures" * } {
-             [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
+        [ { "context-sensitive ordinary rt-substitution" * } {
+             [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
           }
         ]
-        [ { "internal syntax" * } {
-             [ "genv" * ]
-             [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
-             [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
-             [ "item" * ]
+        [ { "local env. ref. for rt-substitution" * } {
+             [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
           }
         ]
-        [ { "external syntax" * } {
-             [ "aarity" * ]
+        [ { "pointwise extension of a relation" * } {
+             [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
           }
         ]
-     }
-   ]
-}
-
-class "component" { 0 }
-
-class "plane" { 1 }
-
-class "file" { 2 * }
+             [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
+             [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+*)