1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* ********************************************************************** *)
16 (* Progetto FreeScale *)
19 (* Cosimo Oliboni, oliboni@cs.unibo.it *)
21 (* Questo materiale fa parte della tesi: *)
22 (* "Formalizzazione Interattiva dei Microcontroller a 8bit FreeScale" *)
24 (* data ultima modifica 15/11/2007 *)
25 (* ********************************************************************** *)
27 include "freescale/bool_lemmas.ma".
28 include "freescale/opcode_base.ma".
30 (* ********************************************** *)
31 (* MATTONI BASE PER DEFINIRE LE TABELLE DELLE MCU *)
32 (* ********************************************** *)
34 ndefinition mcu_type_destruct_aux ≝
35 Πm1,m2:mcu_type.ΠP:Prop.m1 = m2 →
37 [ HC05 ⇒ match m2 with [ HC05 ⇒ P → P | _ ⇒ P ]
38 | HC08 ⇒ match m2 with [ HC08 ⇒ P → P | _ ⇒ P ]
39 | HCS08 ⇒ match m2 with [ HCS08 ⇒ P → P | _ ⇒ P ]
40 | RS08 ⇒ match m2 with [ RS08 ⇒ P → P | _ ⇒ P ]
43 ndefinition mcu_type_destruct : mcu_type_destruct_aux.
46 ##[ ##1: nelim m2; nnormalize; #H;
47 ##[ ##1: napply (λx:P.x)
48 ##| ##*: napply (False_ind ??);
49 nchange with (match HC05 with [ HC05 ⇒ False | _ ⇒ True ]);
50 nrewrite > H; nnormalize; napply I
52 ##| ##2: nelim m2; nnormalize; #H;
53 ##[ ##2: napply (λx:P.x)
54 ##| ##*: napply (False_ind ??);
55 nchange with (match HC08 with [ HC08 ⇒ False | _ ⇒ True ]);
56 nrewrite > H; nnormalize; napply I
58 ##| ##3: nelim m2; nnormalize; #H;
59 ##[ ##3: napply (λx:P.x)
60 ##| ##*: napply (False_ind ??);
61 nchange with (match HCS08 with [ HCS08 ⇒ False | _ ⇒ True ]);
62 nrewrite > H; nnormalize; napply I
64 ##| ##4: nelim m2; nnormalize; #H;
65 ##[ ##4: napply (λx:P.x)
66 ##| ##*: napply (False_ind ??);
67 nchange with (match RS08 with [ RS08 ⇒ False | _ ⇒ True ]);
68 nrewrite > H; nnormalize; napply I
73 nlemma symmetric_eqmcutype : symmetricT mcu_type bool eq_mcutype.
81 nlemma eqmcutype_to_eq : ∀m1,m2:mcu_type.(eq_mcutype m1 m2 = true) → (m1 = m2).
86 ##[ ##1,6,11,16: #H; napply (refl_eq ??)
87 ##| ##*: #H; napply (bool_destruct ??? H)
91 nlemma eq_to_eqmcutype : ∀m1,m2.m1 = m2 → eq_mcutype m1 m2 = true.
96 ##[ ##1,6,11,16: #H; napply (refl_eq ??)
97 ##| ##*: #H; napply (mcu_type_destruct ??? H)
101 nlemma instr_mode_destruct_MODE_DIRn : ∀n1,n2.MODE_DIRn n1 = MODE_DIRn n2 → n1 = n2.
103 nchange with (match MODE_DIRn n2 with [ MODE_DIRn a ⇒ n1 = a | _ ⇒ False ]);
109 nlemma instr_mode_destruct_MODE_DIRn_and_IMM1 : ∀n1,n2.MODE_DIRn_and_IMM1 n1 = MODE_DIRn_and_IMM1 n2 → n1 = n2.
111 nchange with (match MODE_DIRn_and_IMM1 n2 with [ MODE_DIRn_and_IMM1 a ⇒ n1 = a | _ ⇒ False ]);
117 nlemma instr_mode_destruct_MODE_TNY : ∀e1,e2.MODE_TNY e1 = MODE_TNY e2 → e1 = e2.
119 nchange with (match MODE_TNY e2 with [ MODE_TNY a ⇒ e1 = a | _ ⇒ False ]);
125 nlemma instr_mode_destruct_MODE_SRT : ∀t1,t2.MODE_SRT t1 = MODE_SRT t2 → t1 = t2.
127 nchange with (match MODE_SRT t2 with [ MODE_SRT a ⇒ t1 = a | _ ⇒ False ]);