- lambdadelta: tentative definition of lazy equivalence for closures +

[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 fb6d828aaabb8aeb53bea985969ecff6e8e22bbc..d91e8d6293ade379ae0d362d785fef4c890f0efa 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
@@ -39,28 +39,24 @@ table {
           }
         ]
 *)
-        [ { "\"big tree\" parallel computation" * } {
-             [ "yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )" "yprs_yprs"  "ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )" "ygt_ygt" * ]
-          }
-        ]
-        [ { "\"big tree\" parallel reduction" * } {
-             [ "ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )" "ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )" * ]
-          }
-        ]
         [ { "local env. ref. for stratified native validity" * } {
-             [ "lsubsv ( ? ⊢ ? ¡⊑[?] ? )" "lsubsv_ldrop" + "lsubsv_lsuba" + "lsubsv_ssta" + "lsubsv_dxprs" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+             [ "lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
           }
         ]
         [ { "stratified native validity" * } {
-             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?] )" "snv_lift" + "snv_aaa" + "snv_ssta" + "snv_sstas" + "snv_ssta_lpr" + "snv_lpr" + "snv_cpcs" * ]
+             [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_da_lpr" + "snv_aaa" + "snv_lsstas" + "snv_lsstas_lpr" + "snv_lpr" + "snv_cpcs" * ]
           }
         ]
      }
    ]
    class "blue"
    [ { "equivalence" * } {
+        [ { "decomposed extended equivalence" * } {
+             [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
+          }
+        ]
         [ { "context-sensitive equivalence" * } {
-             [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
+             [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
           }
         ]
      }
@@ -68,7 +64,7 @@ table {
    class "sky"
    [ { "conversion" * } {
         [ { "context-sensitive conversion" * } {
-             [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
+             [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
           }
         ]
      }
@@ -76,76 +72,91 @@ table {
    class "cyan"
    [ { "computation" * } {
         [ { "context-sensitive extended evaluation" * } {
-             [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?] 𝐍⦃?⦄ )" * ]
+             [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
           }
         ]
         [ { "context-sensitive evaluation" * } {
-             [ "cpre ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
+             [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
+          }
+        ]
+        [ { "strongly normalizing \"big tree\" computation" * } {
+             [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_fleq" + "fsb_csx" * ]
+          }
+       ]
+       [ { "strongly normalizing extended computation" * } {
+             [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" * ]
           }
         ]
-        [ { "strongly normalizing computation" * } {
-             [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_tstc_vector" + "csn_aaa" * ]
-             [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_lpx" * ]
+        [ { "\"big tree\" parallel computation" * } {
+            [ "fpbr ( ⦃?,?,?⦄ ⊃≥[?,?] ⦃?,?,?⦄ )" "fpbr_fpbr" * ]             
+            [ "fpbg ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpbg" * ]
+             [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_fpbs" * ]
           }
         ]
         [ { "decomposed extended computation" * } {
-             [ "dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )" "dxprs_lift" + "dxprs_aaa" + "dxprs_dxprs" * ]
+             [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
           }
         ]
         [ { "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_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+             [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_aaa" + "cpxs_cpxs" * ]
           }
         ]
         [ { "context-sensitive computation" * } {
-             [ "lprs ( ? ⊢ ➡* ? )" "lprs_alt ( ? ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
-             [ "cprs ( ? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
+             [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
+             [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
           }
         ]
         [ { "local env. ref. for abstract candidates of reducibility" * } {
-             [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
+             [ "lsubc ( ? â\8a¢ ? â\8a\91[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
           }
         ]
         [ { "support for abstract computation properties" * } {
-             [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+             [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
           }
         ]
      }
    ]
    class "water"
    [ { "reduction" * } {
+        [ { "\"big tree\" parallel reduction" * } {
+             [ "fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbc_lift" * ]
+             [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" * ]
+          }
+        ]
         [ { "context-sensitive extended normal forms" * } {
-             [ "cnx ( ⦃?,?⦄ ⊢ 𝐍[?]⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+             [ "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_aaa" * ]
+             [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cix" * ]
           }
         ]
         [ { "context-sensitive extended irreducible forms" * } {
-             [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?]⦃?⦄ )" "cix_append" + "cix_lift" * ]
+             [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )" "cix_append" + "cix_lift" * ]
           }
         ]
         [ { "context-sensitive extended reducible forms" * } {
-             [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?]⦃?⦄ )" "crx_append" + "crx_lift" * ]
+             [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )" "crx_append" + "crx_lift" * ]
           }
         ]
         [ { "context-sensitive normal forms" * } {
-             [ "cnr ( ? ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+             [ "cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
           }
         ]
         [ { "context-sensitive reduction" * } {
-             [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpr" * ]
-             [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
+             [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpr" * ]
+             [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
           }
         ]
         [ { "context-sensitive irreducible forms" * } {
-             [ "cir ( ? ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ]
+             [ "cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ]
           }
         ]
         [ { "context-sensitive reducible forms" * } {
-             [ "crr ( ? ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ]
+             [ "crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ]
           }
         ]
      }
@@ -156,24 +167,32 @@ table {
              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
           }
         ]
-        [ { "iterated stratified static type assignment" * } {
-             [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_aaa" + "sstas_sstas" * ]
+        [ { "iterated static type assignment" * } {
+             [ "lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )" "lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )" "lsstas_lift" + "lsstas_aaa" + "lsstas_lsstas" * ]
           }
         ]
      }
    ]
    class "grass"
    [ { "static typing" * } {
-        [ { "stratified static type assignment" * } {
-             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ⦃?,?⦄ )" "ssta_lift" + "ssta_aaa" + "ssta_ssta" * ]
-          }
-        ]
         [ { "local env. ref. for atomic arity assignment" * } {
              [ "lsuba ( ? ⊢ ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
           }
         ]
         [ { "atomic arity assignment" * } {
-             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_aaa" * ]
+             [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
+          }
+        ]
+        [ { "stratified static type assignment" * } {
+             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ssta" * ]
+          }
+        ]
+        [ { "local env. ref. for degree assignment" * } {
+             [ "lsubd ( ? ⊢ ? ▪⊑ ? )" "lsubd_da" + "lsubd_lsubd" * ]
+          }
+        ]
+        [ { "degree assignment" * } {
+             [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_da" * ]
           }
         ]
         [ { "parameters" * } {
@@ -189,8 +208,8 @@ table {
           }
         ]
         [ { "iterated structural successor for closures" * } {
-             [ "fsups ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fsups_fsups" * ]
-             [ "fsupp ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fsupp_fsupp" * ]
+             [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
+             [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
           }
         ]
         [ { "generic local env. slicing" * } {
@@ -211,10 +230,14 @@ table {
    class "orange"
    [ { "relocation" * } {
         [ { "structural successor for closures" * } {
-             [ "fsup ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fsupq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fsupq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
+             [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
           }
         ]
-        [ { "global env. slicing" * } {
+       [ { "lazy equivalence for closures" * } {
+             [ "fleq ( ⦃?,?,?⦄ ⋕ ⦃?,?,?⦄ )" "fleq_fleq" * ]
+          }
+        ]        
+       [ { "global env. slicing" * } {
              [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
           }
         ]