src/HOL/HoareParallel/OG_Syntax.thy
author haftmann
Fri Apr 20 17:58:25 2007 +0200 (2007-04-20)
changeset 22759 e4a3f49eb924
parent 22741 4bd02e03305c
child 25706 45d090186bbe
permissions -rw-r--r--
reverted to classical syntax for K_record
     1 theory OG_Syntax
     2 imports OG_Tactics Quote_Antiquote
     3 begin
     4 
     5 text{* Syntax for commands and for assertions and boolean expressions in 
     6  commands @{text com} and annotated commands @{text ann_com}. *}
     7 
     8 syntax
     9   "_Assign"      :: "idt \<Rightarrow> 'b \<Rightarrow> 'a com"    ("(\<acute>_ :=/ _)" [70, 65] 61)
    10   "_AnnAssign"   :: "'a assn \<Rightarrow> idt \<Rightarrow> 'b \<Rightarrow> 'a com"    ("(_ \<acute>_ :=/ _)" [90,70,65] 61)
    11 
    12 translations
    13   "\<acute>\<spacespace>x := a" \<rightharpoonup> "Basic \<guillemotleft>\<acute>\<spacespace>(_update_name x (K_record a))\<guillemotright>"
    14   "r \<acute>\<spacespace>x := a" \<rightharpoonup> "AnnBasic r \<guillemotleft>\<acute>\<spacespace>(_update_name x (K_record a))\<guillemotright>"
    15 
    16 syntax
    17   "_AnnSkip"     :: "'a assn \<Rightarrow> 'a ann_com"              ("_//SKIP" [90] 63)
    18   "_AnnSeq"      :: "'a ann_com \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"  ("_;;/ _" [60,61] 60)
    19   
    20   "_AnnCond1"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a ann_com  \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"
    21                     ("_ //IF _ /THEN _ /ELSE _ /FI"  [90,0,0,0] 61)
    22   "_AnnCond2"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"
    23                     ("_ //IF _ /THEN _ /FI"  [90,0,0] 61)
    24   "_AnnWhile"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a assn \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com" 
    25                     ("_ //WHILE _ /INV _ //DO _//OD"  [90,0,0,0] 61)
    26   "_AnnAwait"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a com \<Rightarrow> 'a ann_com"
    27                     ("_ //AWAIT _ /THEN /_ /END"  [90,0,0] 61)
    28   "_AnnAtom"     :: "'a assn  \<Rightarrow> 'a com \<Rightarrow> 'a ann_com"   ("_//\<langle>_\<rangle>" [90,0] 61)
    29   "_AnnWait"     :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a ann_com"   ("_//WAIT _ END" [90,0] 61)
    30 
    31   "_Skip"        :: "'a com"                 ("SKIP" 63)
    32   "_Seq"         :: "'a com \<Rightarrow> 'a com \<Rightarrow> 'a com" ("_,,/ _" [55, 56] 55)
    33   "_Cond"        :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com \<Rightarrow> 'a com" 
    34                                   ("(0IF _/ THEN _/ ELSE _/ FI)" [0, 0, 0] 61)
    35   "_Cond2"       :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com"   ("IF _ THEN _ FI" [0,0] 56)
    36   "_While_inv"   :: "'a bexp \<Rightarrow> 'a assn \<Rightarrow> 'a com \<Rightarrow> 'a com"
    37                     ("(0WHILE _/ INV _ //DO _ /OD)"  [0, 0, 0] 61)
    38   "_While"       :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com"
    39                     ("(0WHILE _ //DO _ /OD)"  [0, 0] 61)
    40 
    41 translations
    42   "SKIP" \<rightleftharpoons> "Basic id"
    43   "c_1,, c_2" \<rightleftharpoons> "Seq c_1 c_2"
    44 
    45   "IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "Cond .{b}. c1 c2"
    46   "IF b THEN c FI" \<rightleftharpoons> "IF b THEN c ELSE SKIP FI"
    47   "WHILE b INV i DO c OD" \<rightharpoonup> "While .{b}. i c"
    48   "WHILE b DO c OD" \<rightleftharpoons> "WHILE b INV arbitrary DO c OD"
    49 
    50   "r SKIP" \<rightleftharpoons> "AnnBasic r id"
    51   "c_1;; c_2" \<rightleftharpoons> "AnnSeq c_1 c_2" 
    52   "r IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "AnnCond1 r .{b}. c1 c2"
    53   "r IF b THEN c FI" \<rightharpoonup> "AnnCond2 r .{b}. c"
    54   "r WHILE b INV i DO c OD" \<rightharpoonup> "AnnWhile r .{b}. i c"
    55   "r AWAIT b THEN c END" \<rightharpoonup> "AnnAwait r .{b}. c"
    56   "r \<langle>c\<rangle>" \<rightleftharpoons> "r AWAIT True THEN c END"
    57   "r WAIT b END" \<rightleftharpoons> "r AWAIT b THEN SKIP END"
    58  
    59 nonterminals
    60   prgs
    61 
    62 syntax
    63   "_PAR" :: "prgs \<Rightarrow> 'a"              ("COBEGIN//_//COEND" [57] 56)
    64   "_prg" :: "['a, 'a] \<Rightarrow> prgs"        ("_//_" [60, 90] 57)
    65   "_prgs" :: "['a, 'a, prgs] \<Rightarrow> prgs"  ("_//_//\<parallel>//_" [60,90,57] 57)
    66 
    67   "_prg_scheme" :: "['a, 'a, 'a, 'a, 'a] \<Rightarrow> prgs"  
    68                   ("SCHEME [_ \<le> _ < _] _// _" [0,0,0,60, 90] 57)
    69 
    70 translations
    71   "_prg c q" \<rightleftharpoons> "[(Some c, q)]"
    72   "_prgs c q ps" \<rightleftharpoons> "(Some c, q) # ps"
    73   "_PAR ps" \<rightleftharpoons> "Parallel ps"
    74 
    75   "_prg_scheme j i k c q" \<rightleftharpoons> "map (\<lambda>i. (Some c, q)) [j..<k]"
    76 
    77 print_translation {*
    78   let
    79     fun quote_tr' f (t :: ts) =
    80           Term.list_comb (f $ Syntax.quote_tr' "_antiquote" t, ts)
    81       | quote_tr' _ _ = raise Match;
    82 
    83     fun annquote_tr' f (r :: t :: ts) =
    84           Term.list_comb (f $ r $ Syntax.quote_tr' "_antiquote" t, ts)
    85       | annquote_tr' _ _ = raise Match;
    86 
    87     val assert_tr' = quote_tr' (Syntax.const "_Assert");
    88 
    89     fun bexp_tr' name ((Const ("Collect", _) $ t) :: ts) =
    90           quote_tr' (Syntax.const name) (t :: ts)
    91       | bexp_tr' _ _ = raise Match;
    92 
    93     fun annbexp_tr' name (r :: (Const ("Collect", _) $ t) :: ts) =
    94           annquote_tr' (Syntax.const name) (r :: t :: ts)
    95       | annbexp_tr' _ _ = raise Match;
    96 
    97     fun upd_tr' (x_upd, T) =
    98       (case try (unsuffix RecordPackage.updateN) x_upd of
    99         SOME x => (x, if T = dummyT then T else Term.domain_type T)
   100       | NONE => raise Match);
   101 
   102     fun update_name_tr' (Free x) = Free (upd_tr' x)
   103       | update_name_tr' ((c as Const ("_free", _)) $ Free x) =
   104           c $ Free (upd_tr' x)
   105       | update_name_tr' (Const x) = Const (upd_tr' x)
   106       | update_name_tr' _ = raise Match;
   107 
   108     fun assign_tr' (Abs (x, _, f $ (Const (@{const_syntax "K_record"},_)$t) $ Bound 0) :: ts) =
   109           quote_tr' (Syntax.const "_Assign" $ update_name_tr' f)
   110             (Abs (x, dummyT, t) :: ts)
   111       | assign_tr' _ = raise Match;
   112 
   113     fun annassign_tr' (r :: Abs (x, _, f $ (Const (@{const_syntax "K_record"},_)$t) $ Bound 0) :: ts) =
   114           quote_tr' (Syntax.const "_AnnAssign" $ r $ update_name_tr' f)
   115             (Abs (x, dummyT, t) :: ts)
   116       | annassign_tr' _ = raise Match;
   117 
   118     fun Parallel_PAR [(Const ("Cons",_) $ (Const ("Pair",_) $ (Const ("Some",_) $ t1 ) $ t2) $ Const ("Nil",_))] = 
   119                    (Syntax.const "_prg" $ t1 $ t2)
   120       | Parallel_PAR [(Const ("Cons",_) $ (Const ("Pair",_) $ (Const ("Some",_) $ t1) $ t2) $ ts)] =
   121                      (Syntax.const "_prgs" $ t1 $ t2 $ Parallel_PAR [ts])
   122       | Parallel_PAR _ = raise Match;
   123 
   124 fun Parallel_tr' ts = Syntax.const "_PAR" $ Parallel_PAR ts;
   125   in
   126     [("Collect", assert_tr'), ("Basic", assign_tr'), 
   127       ("Cond", bexp_tr' "_Cond"), ("While", bexp_tr' "_While_inv"),
   128       ("AnnBasic", annassign_tr'), 
   129       ("AnnWhile", annbexp_tr' "_AnnWhile"), ("AnnAwait", annbexp_tr' "_AnnAwait"),
   130       ("AnnCond1", annbexp_tr' "_AnnCond1"), ("AnnCond2", annbexp_tr' "_AnnCond2")]
   131 
   132   end
   133 
   134 *}
   135 
   136 end