- basic_2: reaxiomatized snv with improved cpds and cpes simplifies preservation

[helm.git] / matita / matita / contribs / lambdadelta / alpha_1 / grammar / term.ma

diff --git a/matita/matita/contribs/lambdadelta/alpha_1/grammar/term.ma b/matita/matita/contribs/lambdadelta/alpha_1/grammar/term.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 "basic_2/notation/constructors/snitem2_3.ma".
+include "basic_2/notation/constructors/star_0.ma".
+include "basic_2/notation/constructors/snabstpos_2.ma".
+include "basic_2/notation/constructors/snabbr_3.ma".
+include "basic_2/notation/constructors/snabbrpos_2.ma".
+include "basic_2/notation/constructors/snabbrneg_2.ma".
+include "alpha_1/notation/constructors/snitem1_2.ma".
+include "alpha_1/notation/constructors/snstar_2.ma".
+include "alpha_1/notation/constructors/snlref_2.ma".
+include "alpha_1/notation/constructors/sngref_2.ma".
+include "alpha_1/notation/constructors/snabstneg_1.ma".
+include "alpha_1/notation/constructors/snproj_3.ma".
+include "alpha_1/notation/constructors/snprojpos_2.ma".
+include "alpha_1/notation/constructors/snprojneg_2.ma".
+include "alpha_1/grammar/item.ma".
+
+(* TERMS ********************************************************************)
+
+(* terms *)
+inductive term: Type[0] ≝
+  | TAtom:         term                (* atomic item construction *)
+  | TUnit: item1 → term → term         (* unary item construction *)
+  | TPair: item2 → term → term → term  (* binary item construction *)
+.
+
+interpretation "top (term)"
+   'Star = TAtom.
+
+interpretation "term construction (unary)"
+   'SnItem1 I T = (TUnit I T).
+
+interpretation "term construction (binary)"
+   'SnItem2 I T1 T2 = (TPair I T1 T2).
+
+interpretation "character (term)"
+   'SnStar k T = (TUnit (Char k) T).
+
+interpretation "local reference (term)"
+   'SnLRef i T = (TUnit (LRef i) T).
+
+interpretation "global reference (term)"
+   'SnGRef p T = (TUnit (GRef p) T).
+
+interpretation "negative abbreviation (term)"
+   'SnAbbrNeg T = (TUnit Decl T).
+
+interpretation "positive abstraction (term)"
+   'SnAbstPos T1 T2 = (TPair Abst T1 T2).
+
+interpretation "abbreviation (term)"
+   'SnAbbr a T1 T2 = (TPair (Abbr a) T1 T2).
+
+interpretation "positive abbreviation (term)"
+   'SnAbbrPos T1 T2 = (TPair (Abbr true) T1 T2).
+
+interpretation "negative abbreviation (term)"
+   'SnAbbrNeg T1 T2 = (TPair (Abbr false) T1 T2).
+
+interpretation "projection (term)"
+   'SnProj a T1 T2 = (TPair (Proj a) T1 T2).
+
+interpretation "positive projection (term)"
+   'SnProjPos T1 T2 = (TPair (Proj true) T1 T2).
+
+interpretation "negative projection (term)"
+   'SnProjNeg T1 T2 = (TPair (Proj false) T1 T2).