advances on cpxs and cnx (cnxa removed) ,,,

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl

diff --git a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
index 0d288fdc218eb8aa60b7e516db220ba61ade39b7..03c104136dbbeda8d4f73c0c1f2f1c922a6f9e4e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
@@ -78,8 +78,10 @@ table {
         ]
      }
    ]
+*)
    class "cyan"
-   [ { "computation" * } {
+   [ { "rt-computation" * } {
+(*
         [ { "evaluation for context-sensitive rt-reduction" * } {
              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
           }
@@ -108,116 +110,93 @@ table {
              [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
           }
         ]
-        [ { "context-sensitive rt-computation" * } {
-             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
-             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
-          }
-        ]
         [ { "context-sensitive computation" * } {
              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
           }
         ]
-        [ { "local env. ref. for generic reducibility" * } {
-             [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
-          }
-        ]
-        [ { "support for generic computation properties" * } {
-             [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
+*)        
+        [ { "uncounted context-sensitive rt-transition" * } {
+(*
+             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
+*)
+             [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_cpxs" * ] 
           }
         ]
      }
    ]
    class "water"
-   [ { "reduction" * } {
-        [ { "parallel qrst-reduction" * } {
-             [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
-             [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
-          }
-        ]
-        [ { "normal forms for context-sensitive rt-reduction" * } {
-             [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+   [ { "rt-transition" * } {
+        [ { "parallel qrst-transition" * } {
+(*             [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )"  + "fpbq_aaa" * ] *)
+             [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" (* "fpb_lleq" + "fpb_fleq" *) * ]
           }
         ]
+(*
         [ { "context-sensitive rt-reduction" * } {
-             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
-             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lreq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
-          }
-        ]
-        [ { "irreducible forms for context-sensitive rt-reduction" * } {
-             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
+             [ "lpx_lleq" * ]
+             [   "cpx_lleq" * ]
           }
         ]
-        [ { "reducible forms for context-sensitive rt-reduction" * } {
-             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
-          }
-        ]
-        [ { "normal forms for context-sensitive reduction" * } {
-             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
-          }
-        ]
-        [ { "context-sensitive reduction" * } {
-             [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
-             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
+*)
+        [ { "t-bound context-sensitive rt-transition" * } {
+             [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
+             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
+             [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
           }
         ]
-        [ { "irreducible forms for context-sensitive reduction" * } {
-             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+        [ { "uncounted context-sensitive rt-transition" * } {
+             [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" * ]
+             [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_lfdeq" + "lfpx_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" * ]
           }
         ]
-        [ { "reducible forms for context-sensitive reduction" * } {
-             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
+        [ { "counted context-sensitive rt-transition" * } {
+             [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
           }
         ]
      }
    ]
    class "green"
-   [ { "unfold" * } {
-        [ { "unfold" * } {
-             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+   [ { "static typing" * } {
+        [ { "generic reducibility" * } {
+             [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]        
+             [ "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
+             [ "gcp" *] 
           }
         ]
-        [ { "iterated static type assignment" * } {
-             [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+        [ { "atomic arity assignment" * } {
+             [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
           }
         ]
-     }
-   ]
-*)
-   class "green"
-   [ { "static typing" * } {
-        [ { "parameters" * } {
-             [ "sh" "sd" * ]
+        [ { "degree-based equivalence on referred entries" * } {
+             [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
+             [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_fqup" + "lfdeq_lfdeq" * ]
           }
         ]
-(*
-        [ { "local env. ref. for atomic arity assignment" * } {
-             [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
+        [ { "generic extension on referred entries" * } {
+             [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
           }
         ]
-        [ { "atomic arity assignment" * } {
-             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
+        [ { "context-sensitive free variables" * } {
+             [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
+             [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_drops" + "frees_fqup" + "frees_frees" * ]
           }
         ]
-*)
         [ { "restricted ref. for local env." * } {
              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
           }
         ]
-        [ { "ranged equivalence for closures" * } {
-             [ "freq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "freq_freq" * ]
-          }
-        ]
-        [ { "context-sensitive free variables" * } {
-             [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_frees" * ]
-          }
-        ]
      }
    ]
    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" * ]
           }
         ]
      }
@@ -234,33 +213,33 @@ table {
    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" * ]
+             [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
+             [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
           }
         ]
         [ { "generic relocation for terms" * } {
              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
-             [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
+             [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
           }
         ]
         [ { "ranged equivalence for local environments" * } {
              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
           }
         ]
-        [ { "generic entrywise extension of context-sensitive relations for terma" * } {
+        [ { "generic entrywise extension" * } {
              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
           }
         ]
      }
    ]
    class "red"
-   [ { "grammar" * } {
+   [ { "syntax" * } {
         [ { "append for local environments" * } {
              [ "append ( ? @@ ? )" "append_length" * ]
           }
         ]
-        [ { "context-sensitive equivalences for terms" * } {
-             [ "ceq" "ceq_ceq" * ]
+        [ { "degree-based equivalence for terms" * } {
+             [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
           }
         ]
         [ { "same top term structure" * } {
@@ -268,17 +247,34 @@ table {
           }
         ]
         [ { "closures" * } {
-             [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
+             [ "cl_weight ( ♯{?,?,?} )" * ]
+             [ "cl_restricted_weight ( ♯{?,?} )" * ]
           }
         ]
-        [ { "internal syntax" * } {
+        [ { "global environments" * } {
              [ "genv" * ]
-             [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
-             [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
+          }
+        ]
+        [ { "local environments" * } {
+             [ "lenv_length ( |?| )" * ]
+             [ "lenv_weight ( ♯{?} )" * ]
+             [ "lenv" * ]
+          }
+        ]
+        [ { "terms" * } {
+             [ "term_vector ( Ⓐ?.? )" * ]
+             [ "term_simple ( 𝐒⦃?⦄ )"  * ]
+             [ "term_weight ( ♯{?} )" * ]
+             [ "term" * ]
+          }
+        ]
+        [ { "items" * } {
+             [ "item_sd" * ]
+             [ "item_sh" * ]
              [ "item" * ]
           }
         ]
-        [ { "external syntax" * } {
+        [ { "atomic arities" * } {
              [ "aarity" * ]
           }
         ]
@@ -292,6 +288,38 @@ class "capitalize italic" { 0 }
 
 class "italic"            { 1 }
 (*
+        [ { "normal forms for context-sensitive rt-reduction" * } {
+             [ "cnx_crx" + "cnx_cix" * ]
+          }
+        ]
+        [ { "irreducible forms for context-sensitive rt-reduction" * } {
+             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
+          }
+        ]
+        [ { "reducible forms for context-sensitive rt-reduction" * } {
+             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
+          }
+        ]
+        [ { "normal forms for context-sensitive reduction" * } {
+             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+          }
+        ]
+        [ { "irreducible forms for context-sensitive reduction" * } {
+             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+          }
+        ]
+        [ { "reducible forms for context-sensitive reduction" * } {
+             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
+          }
+        ]
+        [ { "unfold" * } {
+             [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+          }
+        ]
+        [ { "iterated static type assignment" * } {
+             [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+          }
+        ]
         [ { "local env. ref. for degree assignment" * } {
              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
           }
@@ -304,11 +332,6 @@ class "italic"            { 1 }
              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
           }
         ]
-        [ { "iterated structural successor for closures" * } {
-             [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
-             [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
-          }
-        ]
         [ { "pointwise union for local environments" * } {
              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
           }
@@ -333,5 +356,6 @@ class "italic"            { 1 }
              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
           }
         ]
+             [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
 *)