update in alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/alpha_1/syntax/term.ma b/matita/matita/contribs/lambdadelta/alpha_1/syntax/term.ma
index 4334a09188fdc805314f2bcec4f1e1e944c64250..697150232a623f8601c761b1e54a81580ee284de 100644 (file)
--- a/matita/matita/contribs/lambdadelta/alpha_1/syntax/term.ma
+++ b/matita/matita/contribs/lambdadelta/alpha_1/syntax/term.ma
@@ -12,69 +12,46 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/notation/functions/snitem2_3.ma".
-include "static_2/notation/functions/star_0.ma".
-include "static_2/notation/functions/snabstpos_2.ma".
-include "static_2/notation/functions/snabbr_3.ma".
-include "static_2/notation/functions/snabbrpos_2.ma".
-include "static_2/notation/functions/snabbrneg_2.ma".
-include "alpha_1/notation/functions/snitem1_2.ma".
-include "alpha_1/notation/functions/snstar_2.ma".
-include "alpha_1/notation/functions/snlref_2.ma".
-include "alpha_1/notation/functions/sngref_2.ma".
-include "alpha_1/notation/functions/snabstneg_1.ma".
-include "alpha_1/notation/functions/snproj_3.ma".
-include "alpha_1/notation/functions/snprojpos_2.ma".
-include "alpha_1/notation/functions/snprojneg_2.ma".
-include "alpha_1/syntax/item.ma".
+(* THE FORMAL SYSTEM λα: MATITA SOURCE FILES
+ * Initial invocation: - Patience on me to gain peace and perfection! -
+ * Conceived since: 2014 July 25
+ * Developed since: 2021 June 17
+ *)
+
+include "ground/arith/nat.ma".
+include "static_2/notation/functions/star_1.ma".
+include "static_2/notation/functions/gref_1.ma".
+include "static_2/notation/functions/snappl_2.ma".
+include "static_2/notation/functions/snabbr_2.ma".
+include "alpha_1/notation/functions/snabst_1.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 *)
+  | TChar: nat → term          (* character: starts at 0 *)
+  | TGRef: nat → term          (* reference by level: starts at 0 *)
+  | TAbst: term → term         (* abstraction: scope *)
+  | TAbbr: term → term → term  (* abbreviation: definition, scope *)
+  | TCons: term → term → term  (* group: body, tail *) 
 .
 
-interpretation "top (term)"
-   'Star = TAtom.
+interpretation
+  "character (terms)"
+  'Star c = (TChar c).
 
-interpretation "term construction (unary)"
-   'SnItem1 I T = (TUnit I T).
+interpretation
+  "reference (terms)"
+  'GRef l = (TGRef l).
 
-interpretation "term construction (binary)"
-   'SnItem2 I T1 T2 = (TPair I T1 T2).
+interpretation
+  "group (terms)"
+  'SnAppl T1 T2 = (TCons T1 T2).
 
-interpretation "character (term)"
-   'SnStar s T = (TUnit (Char s) T).
+interpretation
+  "abbreviation (terms)"
+  'SnAbbr T1 T2 = (TAbbr T1 T2).
 
-interpretation "local reference (term)"
-   'SnLRef i T = (TUnit (LRef i) T).
-
-interpretation "global reference (term)"
-   'SnGRef l T = (TUnit (GRef l) 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 p T1 T2 = (TPair (Abbr p) 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 p T1 T2 = (TPair (Proj p) 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).
+interpretation
+  "abstraction (terms)"
+  'SnAbst T = (TAbst T).