contribution on delayed updating begins

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / label.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/label.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/label.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "ground/arith/pnat.ma".
+include "delayed_updating/notation/functions/nodelabel_d_1.ma".
+include "delayed_updating/notation/functions/edgelabel_l_0.ma".
+include "delayed_updating/notation/functions/edgelabel_a_0.ma".
+include "delayed_updating/notation/functions/edgelabel_s_0.ma".
+
+(* LABEL ********************************************************************)
+
+inductive label: Type[0] ≝
+| label_node_d: pnat → label
+| label_edge_l: label
+| label_edge_a: label
+| label_edge_s: label
+.
+
+coercion label_node_d.
+
+interpretation
+  "variable reference by depth (label)"
+  'NodeLabelD p = (label_node_d p).
+
+interpretation
+  "name-free functional abstruction (label)"
+  'EdgeLabelL = (label_edge_l).
+
+interpretation
+  "application (label)"
+  'EdgeLabelA = (label_edge_a).
+
+interpretation
+  "side branch (label)"
+  'EdgeLabelS = (label_edge_s).