- some corrections and additions

[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 c5f04455d1d290176b116c802e66a345ee34a132..dbcca300d9819766dfa308632050322f542caeef 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
@@ -71,22 +71,34 @@ table {
    ]
    class "cyan"
    [ { "computation" * } {
-        [ { "context-sensitive extended evaluation" * } {
+        [ { "evaluation for context-sensitive extended reduction" * } {
              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
           }
         ]
-        [ { "context-sensitive evaluation" * } {
+        [ { "evaluation for context-sensitive reduction" * } {
              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
           }
         ]
-        [ { "strongly normalizing computation" * } {
+        [ { "strongly normalizing \"big tree\" computation" * } {
+             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
+          }
+        ]
+        [ { "strongly normalizing extended computation" * } {
+             [ "lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )" "lcosx_cpxs" * ]
+             [ "lsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )" "lsx_ldrop" + "lsx_cpxs" + "lsx_csx" * ]
              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
-             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
           }
         ]
         [ { "\"big tree\" parallel computation" * } {
-             [ "fpbg ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpbg" * ]
-             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fpbs" * ]
+             [ "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 computation for \"big tree\" normal forms" * } {
+             [ "fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )" "fpns_fpns" * ]
           }
         ]
         [ { "decomposed extended computation" * } {
@@ -94,8 +106,8 @@ table {
           }
         ]
         [ { "context-sensitive extended computation" * } {
-             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
-             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_aaa" + "cpxs_cpxs" * ]
+             [ "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" * ]
           }
         ]
         [ { "context-sensitive computation" * } {
@@ -116,29 +128,28 @@ table {
    class "water"
    [ { "reduction" * } {
         [ { "\"big tree\" parallel reduction" * } {
-             [ "fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbc_lift" * ]
-             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" * ]
+             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
           }
         ]
-        [ { "context-sensitive extended normal forms" * } {
-             [ "cnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+        [ { "normal forms for context-sensitive extended reduction" * } {
+             [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
           }
         ]
         [ { "context-sensitive extended reduction" * } {
-             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_aaa" * ]
-             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cix" * ]
+             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_cpys" + "lpx_lleq" + "lpx_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cpys" + "cpx_lleq" + "cpx_cix" * ]
           }
         ]
-        [ { "context-sensitive extended irreducible forms" * } {
-             [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )" "cix_append" + "cix_lift" * ]
+        [ { "irreducible forms for context-sensitive extended reduction" * } {
+             [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
           }
         ]
-        [ { "context-sensitive extended reducible forms" * } {
-             [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )" "crx_append" + "crx_lift" * ]
+        [ { "reducible forms for context-sensitive extended reduction" * } {
+             [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
           }
         ]
-        [ { "context-sensitive normal forms" * } {
-             [ "cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+        [ { "normal forms for context-sensitive reduction" * } {
+             [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
           }
         ]
         [ { "context-sensitive reduction" * } {
@@ -146,12 +157,12 @@ table {
              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
           }
         ]
-        [ { "context-sensitive irreducible forms" * } {
-             [ "cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ]
+        [ { "irreducible forms for context-sensitive reduction" * } {
+             [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
           }
         ]
-        [ { "context-sensitive reducible forms" * } {
-             [ "crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ]
+        [ { "reducible forms for context-sensitive reduction" * } {
+             [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
           }
         ]
      }
@@ -175,7 +186,7 @@ table {
           }
         ]
         [ { "atomic arity assignment" * } {
-             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
           }
         ]
         [ { "stratified static type assignment" * } {
@@ -194,21 +205,29 @@ table {
              [ "sh" "sd" * ]
           }
         ]
+        [ { "restricted local env. ref." * } {
+             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
+          }
+        ]
      }
    ]
    class "yellow"
    [ { "substitution" * } {
-        [ { "restricted local env. ref." * } {
-             [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
+        [ { "lazy equivalence for local environments" * } {
+             [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt ( ? ⋕⋕[?,?] ? )" "lleq_ldrop" + "lleq_fqus" + "lleq_lleq" + "lleq_ext" * ]
           }
         ]
+        [ { "contxt-sensitive extended multiple substitution" * } {
+             [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+          }
+        ]        
         [ { "iterated structural successor for closures" * } {
-             [ "fsups ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fsups_fsups" * ]
-             [ "fsupp ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fsupp_fsupp" * ]
+             [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
+             [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
           }
         ]
-        [ { "generic local env. slicing" * } {
-             [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+        [ { "iterated local env. slicing" * } {
+             [ "ldrops ( ⇩*[?,?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
           }
         ]
         [ { "generic term relocation" * } {
@@ -224,8 +243,17 @@ table {
    ]
    class "orange"
    [ { "relocation" * } {
+        [ { "contxt-sensitive extended ordinary substitution" * } {
+             [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_cpy" * ]
+          }
+        ]        
+        [ { "local env. ref. for extended substitution" * } {
+             [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
+          }
+        ]
         [ { "structural successor for closures" * } {
-             [ "fsup ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fsupq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fsupq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+             [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" * ]
           }
         ]
         [ { "global env. slicing" * } {
@@ -233,7 +261,7 @@ table {
           }
         ]
         [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
+             [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
           }
         ]
         [ { "basic term relocation" * } {
@@ -245,6 +273,10 @@ table {
    ]
    class "red"
    [ { "grammar" * } {
+        [ { "equivalence for local environments" * } {
+             [ "leq ( ? ≃[?,?] ? )" "leq_leq" * ]
+          }
+        ]
         [ { "pointwise extension of a relation" * } {
              [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
           }
@@ -254,7 +286,7 @@ table {
           }
         ]
         [ { "closures" * } {
-             [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?,?} )" * ]
+             [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
           }
         ]
         [ { "internal syntax" * } {