--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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 *)
+(* *)
+(**************************************************************************)
+
+(* ********************************************************************** *)
+(* *)
+(* Sviluppato da: *)
+(* Cosimo Oliboni, oliboni@cs.unibo.it *)
+(* *)
+(* ********************************************************************** *)
+
+include "compiler/environment.ma".
+
+(* *************** *)
+(* ALBERO DI TOKEN *)
+(* *************** *)
+
+(* id: accesso all'ambiente con stringa *)
+inductive ast_id (d:nat) (e:aux_env_type d) : bool → ast_type → Type ≝
+ AST_ID: ∀str:aux_str_type.
+ (* D *) (check_desc_env d e str) → (ast_id d e (get_const_desc (get_desc_env d e str)) (get_type_desc (get_desc_env d e str))).
+
+(* -------------------------- *)
+
+(* espressioni *)
+inductive ast_expr (d:nat) (e:aux_env_type d) : ast_type → Type ≝
+ AST_EXPR_BYTE8 : byte8 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_WORD16: word16 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
+| AST_EXPR_WORD32: word32 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
+
+| AST_EXPR_NEG: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_NOT: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_COM: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+
+| AST_EXPR_ADD: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_SUB: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_MUL: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_DIV: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_SHR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_SHL: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_AND: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_OR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_XOR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+
+| AST_EXPR_GT : ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_GTE: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_LT : ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_LTE: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_EQ : ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_NEQ: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+
+| AST_EXPR_B8toW16 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
+| AST_EXPR_B8toW32 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
+| AST_EXPR_W16toB8 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_W16toW32: ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
+| AST_EXPR_W32toB8 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_W32toW16: ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
+
+| AST_EXPR_ID: ∀b:bool.∀t:ast_type.
+ ast_var d e b t → ast_expr d e t
+
+(* variabile: modificatori di array/struct dell'id *)
+with ast_var : bool → ast_type → Type ≝
+ AST_VAR_ID: ∀b:bool.∀t:ast_type.
+ ast_id d e b t → ast_var d e b t
+| AST_VAR_ARRAY: ∀b:bool.∀t:ast_type.∀n:nat.
+ ast_var d e b (AST_TYPE_ARRAY t n) → ast_base_expr d e → ast_var d e b t
+| AST_VAR_STRUCT: ∀b:bool.∀nel:ne_list ast_type.∀n:nat.
+ ast_var d e b (AST_TYPE_STRUCT nel) → (* D *) (ltb n (len_neList ? nel) = true) → ast_var d e b (abs_nth_neList ? nel n)
+
+(* espressioni generalizzate: anche non uniformi per tipo *)
+with ast_base_expr : Type ≝
+ AST_BASE_EXPR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_base_expr d e.
+
+(* -------------------------- *)
+
+let rec aux_ast_init_type (t:ast_type) on t : Type ≝
+ match t with
+ [ AST_TYPE_BASE bType ⇒ match bType with
+ [ AST_BASE_TYPE_BYTE8 ⇒ byte8
+ | AST_BASE_TYPE_WORD16 ⇒ word16
+ | AST_BASE_TYPE_WORD32 ⇒ word32
+ ]
+ | AST_TYPE_ARRAY subType dim ⇒
+ let T ≝ aux_ast_init_type subType in
+ let rec aux (n:nat) on n ≝
+ match n with
+ [ O ⇒ T
+ | S n' ⇒ Prod T (aux n')
+ ] in
+ aux dim
+ | AST_TYPE_STRUCT nelSubType ⇒
+ let rec aux (nel:ne_list ast_type) on nel ≝
+ match nel with
+ [ ne_nil h ⇒ aux_ast_init_type h
+ | ne_cons h t ⇒ Prod (aux_ast_init_type h) (aux t)
+ ] in
+ aux nelSubType
+ ].
+
+(*
+ inizializzatori: ammesse solo due forme, no ibridi
+ 1) var1 = var2
+ 2) var = ... valori ...
+*)
+inductive ast_init (d:nat) (e:aux_env_type d) : ast_type → Type ≝
+ AST_INIT_VAR: ∀b:bool.∀t:ast_type.
+ ast_var d e b t → ast_init d e t
+| AST_INIT_VAL: ∀t:ast_type.
+ aux_ast_init_type t → ast_init d e t.
+
+(* -------------------------- *)
+
+(* statement: assegnamento/while/if else if else *)
+inductive ast_stm : Πd:nat.aux_env_type d → Type ≝
+ AST_STM_ASG: ∀d.∀e:aux_env_type d.∀t:ast_type.
+ ast_var d e false t → ast_expr d e t → ast_stm d e
+| AST_STM_WHILE: ∀d.∀e:aux_env_type d.
+ ast_base_expr d e → ast_decl (S d) (enter_env d e) → ast_stm d e
+| AST_STM_IF: ∀d.∀e:aux_env_type d.
+ ne_list (Prod (ast_base_expr d e) (ast_decl (S d) (enter_env d e))) → option (ast_decl (S d) (enter_env d e)) → ast_stm d e
+
+(* dichiarazioni *)
+with ast_decl : Πd:nat.aux_env_type d → Type ≝
+ AST_NO_DECL: ∀d.∀e:aux_env_type d.
+ list (ast_stm d e) → ast_decl d e
+| AST_CONST_DECL: ∀d.∀e:aux_env_type d.∀str:aux_str_type.∀t:ast_type.
+ (* D *) (check_not_already_def_env d e str) → ast_init d e t → ast_decl d (add_desc_env d e str true t) → ast_decl d e
+| AST_VAR_DECL: ∀d.∀e:aux_env_type d.∀str:aux_str_type.∀t:ast_type.
+ (* D *) (check_not_already_def_env d e str) → option (ast_init d e t) → ast_decl d (add_desc_env d e str false t) → ast_decl d e.
+
+(* -------------------------- *)
+
+(* programma *)
+inductive ast_root : Type ≝
+ AST_ROOT: ast_decl O empty_env → ast_root.
+
+(* -------------------------- *)
+
+(* programma vuoto *)
+definition empty_ast_prog ≝ AST_ROOT (AST_NO_DECL O empty_env (nil ?)).
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