From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Mon, 5 Sep 2005 10:15:21 +0000 (+0000)
Subject: LAMBDA-TYPES moved under contribs
X-Git-Tag: V_0_1_2_1~111
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=2ff23d9306837c14c9d1a3b935a66bc71ffe87c3;p=helm.git

LAMBDA-TYPES moved under contribs
---

diff --git a/helm/matita/contribs/LAMBDA-TYPES/lref_map_defs.ma b/helm/matita/contribs/LAMBDA-TYPES/lref_map_defs.ma
new file mode 100644
index 000000000..f2994f9b7
--- /dev/null
+++ b/helm/matita/contribs/LAMBDA-TYPES/lref_map_defs.ma
@@ -0,0 +1,22 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/LAMBDA-TYPES/lref_map_defs".
+
+include "terms_defs.ma".
+
+inductive tlref_map (A: Set) (N: Set) (map: nat \to nat): nat \to (T A N) \to (T A N) \to Prop \def
+   | tlref_map_sort: \forall i. \forall k. \forall y. (tlref_map A N map i (TSort A N y k) (TSort A N y k))
+   | tlref_map_lref_lt: \forall j. \forall i. \forall y. (lt j i) \to (tlref_map A N map i (TLRef A N y j) (TLRef A N y j))
+   | tlref_map_lref_ge: \forall j. \forall i. \forall y. (le i j) \to (tlref_map A N map i (TLRef A N y j) (TLRef A N y (map j))).
\ No newline at end of file
diff --git a/helm/matita/contribs/LAMBDA-TYPES/terms_defs.ma b/helm/matita/contribs/LAMBDA-TYPES/terms_defs.ma
new file mode 100644
index 000000000..3f93fc13d
--- /dev/null
+++ b/helm/matita/contribs/LAMBDA-TYPES/terms_defs.ma
@@ -0,0 +1,38 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/LAMBDA-TYPES/terms_defs".
+
+inductive B : Set \def 
+   | Void: B
+   | Abbr: B
+   | Abst: B.
+
+inductive F : Set \def 
+   | Appl: F 
+   | Cast: F.
+
+inductive W : Set \def 
+   | Bind: B \to W 
+   | Flat: F \to W.
+
+inductive T (A:Set) (N:Set) : Set \def
+   | TSort: A \to nat \to (T A N) 
+   | TLRef: A \to nat \to (T A N)
+   | TWag : A \to W \to (T A N) \to (T A N) \to (T A N)
+   | TGRef: A \to N \to (T A N).
+   
+record X (A:Set) (N:Set) : Type \def {
+   get_gref: N \to B \to (T A N) \to Prop
+}.
diff --git a/helm/matita/contribs/LAMBDA-TYPES/tlt_defs.ma b/helm/matita/contribs/LAMBDA-TYPES/tlt_defs.ma
new file mode 100644
index 000000000..f2bf3660d
--- /dev/null
+++ b/helm/matita/contribs/LAMBDA-TYPES/tlt_defs.ma
@@ -0,0 +1,51 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/LAMBDA-TYPES/tlt_defs".
+
+include "terms_defs.ma".
+
+definition wadd: (nat \to nat) \to nat \to (nat \to nat) \def 
+   \lambda map,w,n.
+   match n with [
+        O     \Rightarrow w
+      | (S m) \Rightarrow (map m)
+   ].
+
+let rec weight_map (A:Set) (N:Set) (map:nat \to nat) (t:T) : nat \def 
+   match t with [
+        (TSort A N y k)     \Rightarrow O
+      | (TLRef A N y i)     \Rightarrow (map i)
+      | (TWag A N y z w u) \Rightarrow
+         match z with [
+              (Bind b) \Rightarrow
+                 match b with [
+                      Abbr \Rightarrow
+                        (S (plus (weight_map A N map w) (weight_map A N (wadd map (S (weight_map A N map w))) u)))
+                    | Abst \Rightarrow 
+                        (S (plus (weight_map A N map w) (weight_map A N (wadd map O) u)))
+                    | Void \Rightarrow 
+                        (S (plus (weight_map A N map w) (weight_map A N (wadd map O) u)))
+                 ]
+            | (Flat a) \Rightarrow
+                 (S (plus (weight_map A N map w) (weight_map A N map u)))
+         ]].(*
+      | (TGRef A N y n)     \Rightarrow O
+  ].*)
+(*
+      Definition weight : T \to nat := (weight_map [_](0)).
+
+      Definition tlt : T \to T \to Prop := [t1,t2](lt (weight t1) (weight t2)).
+
+*)