- strong normalization for rt-comutation

- advances on lfpxs ...

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/csx_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/csx_aaa.etc
deleted file mode 100644 (file)
index fb7dad4..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc/csx_aaa.etc
+++ /dev/null
@@ -1,60 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_2/static/gcp_aaa.ma".
-include "basic_2/rt_computation/cpxs_aaa.ma".
-include "basic_2/rt_computation/csx_gcp.ma".
-include "basic_2/rt_computation/csx_gcr.ma".
-
-(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
-
-(* Main properties with atomic arity assignment *****************************)
-
-theorem aaa_csx: ∀h,o,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
-#h #o #G #L #T #A #H
-@(gcr_aaa … (csx_gcp h o) (csx_gcr h o) … H)
-qed.
-
-(* Advanced eliminators *****************************************************)
-
-fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀R:predicate term.
-                      (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
-                      ) →
-                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
-qed-.
-
-lemma aaa_ind_csx: ∀h,o,G,L,A. ∀R:predicate term.
-                   (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
-                   ) →
-                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
-/5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
-
-fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀R:predicate term.
-                           (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
-                           ) →
-                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
-#h #o #G #L #A #R #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
-qed-.
-
-(* Basic_2A1: was: aaa_ind_csx_alt *)
-lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀R:predicate term.
-                        (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
-                        ) →
-                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
-/5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_tc_lfxs.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_tc_lfxs.ma
new file mode 100644 (file)
index 0000000..4fe37f4
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_tc_lfxs.ma
@@ -0,0 +1,23 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/i_static/tc_lfxs.ma".
+
+(* ITERATED EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ***)
+
+(* Main properties **********************************************************)
+
+theorem tc_lfxs_trans: ∀R,T. Transitive … (tc_lfxs R T).
+#R #T #L1 #L #HL1 #L2 #HL2 @(trans_TC … HL1 HL2) (**) (* auto fails *) 
+qed-.

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
new file mode 100644 (file)
index 0000000..fb7dad4
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -0,0 +1,60 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/static/gcp_aaa.ma".
+include "basic_2/rt_computation/cpxs_aaa.ma".
+include "basic_2/rt_computation/csx_gcp.ma".
+include "basic_2/rt_computation/csx_gcr.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+
+(* Main properties with atomic arity assignment *****************************)
+
+theorem aaa_csx: ∀h,o,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+#h #o #G #L #T #A #H
+@(gcr_aaa … (csx_gcp h o) (csx_gcr h o) … H)
+qed.
+
+(* Advanced eliminators *****************************************************)
+
+fact aaa_ind_csx_aux: ∀h,o,G,L,A. ∀R:predicate term.
+                      (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                      ) →
+                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+#h #o #G #L #A #R #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
+qed-.
+
+lemma aaa_ind_csx: ∀h,o,G,L,A. ∀R:predicate term.
+                   (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                   ) →
+                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+/5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
+
+fact aaa_ind_csx_cpxs_aux: ∀h,o,G,L,A. ∀R:predicate term.
+                           (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                           ) →
+                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A → R T.
+#h #o #G #L #A #R #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
+qed-.
+
+(* Basic_2A1: was: aaa_ind_csx_alt *)
+lemma aaa_ind_csx_cpxs: ∀h,o,G,L,A. ∀R:predicate term.
+                        (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≡[h, o] T2 → ⊥) → R T2) → R T1
+                        ) →
+                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → R T.
+/5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lfpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lfpxs.ma
index e2a5ee4d99cb83ab7094b434ee9a30d24b9deb87..09d004b2c03f24a37ba4e0e06638751f56306401 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lfpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lfpxs.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/i_static/tc_lfxs_tc_lfxs.ma".
 include "basic_2/rt_computation/lfpxs.ma".
 
 (* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
@@ -20,5 +21,4 @@ include "basic_2/rt_computation/lfpxs.ma".
 
 (* Basic_2A1: uses: lpxs_trans *)
 theorem lfpxs_trans: ∀h,G,T. Transitive … (lfpxs h G T).
-#h #G #T #L1 #L #HL1 #L2 #HL2 @(trans_TC … HL1 HL2) (**) (* auto fails *) 
-qed-.
+/2 width=3 by tc_lfxs_trans/ qed-.

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/partial.txt b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/partial.txt
index 16ff258d1ffc1e90e2a7b13d8ecc01d2acbc559d..876994e668d72a00aa35794e8b18b487e386b348 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/partial.txt
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/partial.txt
@@ -1,5 +1,5 @@
 cpxs.ma cpxs_tdeq.ma cpxs_theq.ma cpxs_theq_vector.ma cpxs_drops.ma cpxs_lsubr.ma cpxs_aaa.ma cpxs_lfpx.ma cpxs_cnx.ma cpxs_cpxs.ma
 lfpxs.ma lfpxs_length.ma lfpxs_fqup.ma lfpxs_lfdeq.ma lfpxs_cpxs.ma lfpxs_lfpxs.ma
-csx.ma csx_simple.ma csx_simple_theq.ma csx_drops.ma csx_lsubr.ma csx_gcp.ma csx_gcr.ma csx_lfpx.ma csx_cnx.ma csx_cpxs.ma csx_csx.ma
+csx.ma csx_simple.ma csx_simple_theq.ma csx_drops.ma csx_lsubr.ma csx_aaa.ma csx_gcp.ma csx_gcr.ma csx_lfpx.ma csx_cnx.ma csx_cpxs.ma csx_csx.ma
 csx_vector.ma csx_cnx_vector.ma csx_csx_vector.ma 
 lfsx.ma lfsx_fqup.ma lfsx_lfpxs.ma lfsx_lfsx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2.ldw.xml b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2.ldw.xml
index f55e45f41b41d15556fd0730aec1167e0179ced9..a11a4012668019cf7af39eadb4bc35ee95625279 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/web/basic_2.ldw.xml
+++ b/matita/matita/contribs/lambdadelta/basic_2/web/basic_2.ldw.xml
@@ -34,6 +34,11 @@
 
    <subsection name="A2">Stage "A2": "Extending the Applicability Condition"</subsection>
 
+   <news class="alpha" date="2017 April 16.">
+         Strong rt-normalization
+         for simply typed terms
+         (anniversary milestone).
+   </news>
    <news class="alpha" date="2017 March 16.">
          First behavioral component reconstructed:
          rt_transition.

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 bf098d4a9c52a844182fbde0b8a98748651fc792..db3bcf966732d44baa43c255adf19a3ba960bf20 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
@@ -115,7 +115,7 @@ table {
 *)
              [ "lfsx ( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "lfsx_fqup" + "lfsx_lfpxs" + "lfsx_lfsx" * ]
              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
-             [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_lsubr" + "csx_gcp" + "csx_gcr" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
+             [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_lsubr" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
              [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_cpxs" + "lfpxs_lfpxs" * ]
              [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_lsubr" + "cpxs_aaa" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ] 
           }
@@ -150,7 +150,7 @@ table {
    class "water"
    [ { "iterated static typing" * } {
         [ { "iterated extension on referred entries" * } {
-             [ "tc_lfxs ( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_fqup" * ]
+             [ "tc_lfxs ( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_fqup" + "tc_lfxs_tc_lfxs" * ]
           }
         ]
      }