- "big tree" theorem is now proved up to some conjectures involving

[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 a78ccb13300ed454ace1a3f064722a670cd40d8a..48a2983e93e8b5154652c29175ee1fc8540a48da 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
@@ -80,18 +80,24 @@ table {
           }
         ]
         [ { "strongly normalizing \"big tree\" computation" * } {
-             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_csx" * ]
+             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
           }
-       ]
-       [ { "strongly normalizing extended computation" * } {
+        ]
+        [ { "strongly normalizing extended computation" * } {
+             [ "lsx ( ? ⊢ ⬊*[?,?,?] ? )" "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_fpbs" * ]
           }
         ]
         [ { "\"big tree\" parallel computation" * } {
-            [ "fpbr ( ⦃?,?,?⦄ ⊃≥[?,?] ⦃?,?,?⦄ )" "fpbr_fpbr" * ]             
-            [ "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_fpns" + "fpbs_fpbs" * ]
+          }
+        ]
+        [ { "parallel computation for \"big tree\" normal forms" * } {
+             [ "fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )" "fpns_fpns" * ]
           }
         ]
         [ { "decomposed extended computation" * } {
@@ -99,8 +105,8 @@ 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_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
           }
         ]
         [ { "context-sensitive computation" * } {
@@ -121,7 +127,6 @@ table {
    class "water"
    [ { "reduction" * } {
         [ { "\"big tree\" parallel reduction" * } {
-             [ "fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbc_lift" * ]
              [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" * ]
           }
         ]
@@ -130,8 +135,8 @@ table {
           }
         ]
         [ { "context-sensitive extended reduction" * } {
-             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_aaa" * ]
-             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cix" * ]
+             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_leq" + "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_cix" * ]
           }
         ]
         [ { "context-sensitive extended irreducible forms" * } {
@@ -208,8 +213,8 @@ table {
           }
         ]
         [ { "iterated structural successor for closures" * } {
-             [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
-             [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
+             [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_lleq" + "fqus_fqus" * ]
+             [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_lleq" + "fqup_fqup" * ]
           }
         ]
         [ { "generic local env. slicing" * } {
@@ -230,7 +235,12 @@ table {
    class "orange"
    [ { "relocation" * } {
         [ { "structural successor for closures" * } {
-             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+             [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" "fquq_lleq" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fqu_lleq" * ]
+          }
+        ]
+        [ { "lazy equivalence for local environments" * } {
+             [ "lleq ( ? ⋕[?,?] ? )" "lleq_lleq" * ]
           }
         ]
         [ { "global env. slicing" * } {
@@ -238,7 +248,7 @@ table {
           }
         ]
         [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
+             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
           }
         ]
         [ { "basic term relocation" * } {
@@ -250,6 +260,10 @@ table {
    ]
    class "red"
    [ { "grammar" * } {
+        [ { "equivalence for local environments" * } {
+             [ "leq ( ? ≃[?,?] ? ) " * ]
+          }
+        ]
         [ { "pointwise extension of a relation" * } {
              [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
           }