From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Sat, 26 May 2012 12:47:48 +0000 (+0000)
Subject: tentative specification of Conway's construction for surreal numbers
X-Git-Tag: make_still_working~1690
X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=39d4c08954f6c836015093095ea7a10ef80b3513;p=helm.git

tentative specification of Conway's construction for surreal numbers
matita.opt game.ma crashes after 4 lines of code :((
---

diff --git a/matita/matita/contribs/ONAG/game.ma b/matita/matita/contribs/ONAG/game.ma
new file mode 100644
index 000000000..32da35bb1
--- /dev/null
+++ b/matita/matita/contribs/ONAG/game.ma
@@ -0,0 +1,46 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* ON NUMBERS AND GAMES: MATITA SOURCE FILES
+ * Invocation:
+ *   - Patience on me to gain peace and perfection! -
+ * 2012 May 25:
+ *   specification starts.
+ *)
+
+include "basics/pts.ma".
+include "notation.ma".
+
+(* GAMES ********************************************************************)
+
+inductive Game: Type[1] ≝
+| game: ∀L,R:Type[0]. (L → Game) → (R → Game) → Game
+.
+
+interpretation  "game" 'Game = Game.
+(*
+notation > 
+  "'Let' term 46 g ≡ { L , l | R , r } 'in' term 46 t"
+  non associative with precedence 46
+  for @{ 'Destructor (match $g with [ game ${ident L} ${ident R} ${ident l} ${ident r} ⇒ $t]) }.
+*)
+interpretation "game destructor" 'Destructor x = x.
+
+definition pippo ≝ λx.
+match x with [ game L R F G ⇒ x ].
+
+(*
+notation < "hvbox('if' \nbsp term 46 e \nbsp break 'then' \nbsp term 46 t \nbsp break 'else' \nbsp term 49 f \nbsp)" non associative with precedence 46
+ for @{ match $e return $T with [ true ⇒ $t | false ⇒ $f]  }.
+*)
\ No newline at end of file
diff --git a/matita/matita/contribs/ONAG/notation.ma b/matita/matita/contribs/ONAG/notation.ma
new file mode 100644
index 000000000..1dacc850e
--- /dev/null
+++ b/matita/matita/contribs/ONAG/notation.ma
@@ -0,0 +1,19 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* NOTATION FOR ONAG ********************************************************)
+
+notation "𝔾"
+ non associative with precedence 90
+ for @{ 'Game }.
diff --git a/matita/matita/contribs/ONAG/root b/matita/matita/contribs/ONAG/root
new file mode 100644
index 000000000..7fc7f48ce
--- /dev/null
+++ b/matita/matita/contribs/ONAG/root
@@ -0,0 +1 @@
+baseuri=cic:/matita/ONAG/