helm/software/matita/contribs/ng_assembly/utility/string.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 (* ********************************************************************** *)
  16 (*                          Progetto FreeScale                            *)
  17 (*                                                                        *)
  18 (*   Sviluppato da: Cosimo Oliboni, oliboni@cs.unibo.it                   *)
  19 (*     Cosimo Oliboni, oliboni@cs.unibo.it                                *)
  20 (*                                                                        *)
  21 (* ********************************************************************** *)
  22
  23 include "utility/ascii.ma".
  24 include "freescale/theory.ma".
  25 include "freescale/nat.ma".
  26
  27 (* ************************ *)
  28 (* MANIPOLAZIONE DI STRINGA *)
  29 (* ************************ *)
  30
  31 (* tipo pubblico *)
  32 ndefinition aux_str_type ≝ list ascii.
  33
  34 (* strcmp *)
  35 nlet rec eq_str (str,str':aux_str_type) ≝
  36  match str with
  37   [ nil ⇒ match str' with
  38    [ nil => true
  39    | cons _ _ => false ]
  40   | cons h t ⇒ match str' with
  41    [ nil ⇒ false
  42    | cons h' t' ⇒ (eq_ascii h h')⊗(eq_str t t')
  43    ]
  44   ].
  45
  46 (* ************ *)
  47 (* STRINGA + ID *)
  48 (* ************ *)
  49
  50 (* tipo pubblico *)
  51 ninductive aux_strId_type : Type ≝
  52  STR_ID: aux_str_type → nat → aux_strId_type.
  53
  54 ndefinition aux_strId_type_ind : ΠP:aux_strId_type → Prop.(Πl,n.P (STR_ID l n)) → Πa:aux_strId_type.P a ≝
  55 λP:aux_strId_type → Prop.λf:Πl,n.P (STR_ID l n).λa:aux_strId_type.
  56  match a with [ STR_ID l n ⇒ f l n ].
  57
  58 ndefinition aux_strId_type_rec : ΠP:aux_strId_type → Set.(Πl,n.P (STR_ID l n)) → Πa:aux_strId_type.P a ≝
  59 λP:aux_strId_type → Set.λf:Πl,n.P (STR_ID l n).λa:aux_strId_type.
  60  match a with [ STR_ID l n ⇒ f l n ].
  61
  62 ndefinition aux_strId_type_rect : ΠP:aux_strId_type → Type.(Πl,n.P (STR_ID l n)) → Πa:aux_strId_type.P a ≝
  63 λP:aux_strId_type → Type.λf:Πl,n.P (STR_ID l n).λa:aux_strId_type.
  64  match a with [ STR_ID l n ⇒ f l n ].
  65
  66 (* getter *)
  67 ndefinition get_name_strId ≝ λsid:aux_strId_type.match sid with [ STR_ID n _ ⇒ n ].
  68 ndefinition get_id_strId ≝ λsid:aux_strId_type.match sid with [ STR_ID _ d ⇒ d ].
  69
  70 (* confronto *)
  71 ndefinition eq_strId ≝
  72 λsid,sid':aux_strId_type.(eq_str (get_name_strId sid) (get_name_strId sid'))⊗(eq_nat (get_id_strId sid) (get_id_strId sid')).