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src/HOL/HoareParallel/OG_Syntax.thy
changeset 13020 791e3b4c4039
child 13022 b115b305612f 
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/HoareParallel/OG_Syntax.thy	Tue Mar 05 17:11:25 2002 +0100
@@ -0,0 +1,137 @@
+
+header {* \section{Concrete Syntax} *}
+
+theory OG_Syntax = Quote_Antiquote + OG_Tactics:
+
+text{* Syntax for commands and for assertions and boolean expressions in 
+ commands @{text com} and annotated commands @{text ann_com}. *}
+
+syntax
+  "_Assign"      :: "idt \<Rightarrow> 'b \<Rightarrow> 'a com"    ("(\<acute>_ :=/ _)" [70, 65] 61)
+  "_AnnAssign"   :: "'a assn \<Rightarrow> idt \<Rightarrow> 'b \<Rightarrow> 'a com"    ("(_ \<acute>_ :=/ _)" [90,70,65] 61)
+
+translations
+  "\<acute>\<spacespace>x := a" \<rightharpoonup> "Basic \<guillemotleft>\<acute>\<spacespace>(_update_name x a)\<guillemotright>"
+  "r \<acute>\<spacespace>x := a" \<rightharpoonup> "AnnBasic r \<guillemotleft>\<acute>\<spacespace>(_update_name x a)\<guillemotright>"
+
+syntax
+  "_AnnSkip"     :: "'a assn \<Rightarrow> 'a ann_com"              ("_//SKIP" [90] 63)
+  "_AnnSeq"      :: "'a ann_com \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"  ("_;;/ _" [60,61] 60)
+  
+  "_AnnCond1"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a ann_com  \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"
+                    ("_ //IF _ /THEN _ /ELSE _ /FI"  [90,0,0,0] 61)
+  "_AnnCond2"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com"
+                    ("_ //IF _ /THEN _ /FI"  [90,0,0] 61)
+  "_AnnWhile"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a assn \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com" 
+                    ("_ //WHILE _ /INV _ //DO _//OD"  [90,0,0,0] 61)
+  "_AnnAwait"    :: "'a assn \<Rightarrow> 'a bexp  \<Rightarrow> 'a com \<Rightarrow> 'a ann_com"
+                    ("_ //AWAIT _ /THEN /_ /END"  [90,0,0] 61)
+  "_AnnAtom"     :: "'a assn  \<Rightarrow> 'a com \<Rightarrow> 'a ann_com"   ("_//\<langle>_\<rangle>" [90,0] 61)
+  "_AnnWait"     :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a ann_com"   ("_//WAIT _ END" [90,0] 61)
+
+  "_Skip"        :: "'a com"                 ("SKIP" 63)
+  "_Seq"         :: "'a com \<Rightarrow> 'a com \<Rightarrow> 'a com" ("_,,/ _" [55, 56] 55)
+  "_Cond"        :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com \<Rightarrow> 'a com" 
+                                  ("(0IF _/ THEN _/ ELSE _/ FI)" [0, 0, 0] 61)
+  "_Cond2"       :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com"   ("IF _ THEN _ FI" [0,0] 56)
+  "_While_inv"   :: "'a bexp \<Rightarrow> 'a assn \<Rightarrow> 'a com \<Rightarrow> 'a com"
+                    ("(0WHILE _/ INV _ //DO _ /OD)"  [0, 0, 0] 61)
+  "_While"       :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com"
+                    ("(0WHILE _ //DO _ /OD)"  [0, 0] 61)
+
+translations
+  "SKIP" \<rightleftharpoons> "Basic id"
+  "c_1,, c_2" \<rightleftharpoons> "Seq c_1 c_2"
+
+  "IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "Cond .{b}. c1 c2"
+  "IF b THEN c FI" \<rightleftharpoons> "IF b THEN c ELSE SKIP FI"
+  "WHILE b INV i DO c OD" \<rightharpoonup> "While .{b}. i c"
+  "WHILE b DO c OD" \<rightleftharpoons> "WHILE b INV arbitrary DO c OD"
+
+  "r SKIP" \<rightleftharpoons> "AnnBasic r id"
+  "c_1;; c_2" \<rightleftharpoons> "AnnSeq c_1 c_2" 
+  "r IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "AnnCond1 r .{b}. c1 c2"
+  "r IF b THEN c FI" \<rightharpoonup> "AnnCond2 r .{b}. c"
+  "r WHILE b INV i DO c OD" \<rightharpoonup> "AnnWhile r .{b}. i c"
+  "r AWAIT b THEN c END" \<rightharpoonup> "AnnAwait r .{b}. c"
+  "r \<langle>c\<rangle>" \<rightleftharpoons> "r AWAIT True THEN c END"
+  "r WAIT b END" \<rightleftharpoons> "r AWAIT b THEN SKIP END"
+ 
+nonterminals
+  prgs
+
+syntax
+  "_PAR" :: "prgs \<Rightarrow> 'a"              ("COBEGIN//_//COEND" [57] 56)
+  "_prg" :: "['a, 'a] \<Rightarrow> prgs"        ("_//_" [60, 90] 57)
+  "_prgs" :: "['a, 'a, prgs] \<Rightarrow> prgs"  ("_//_//\<parallel>//_" [60,90,57] 57)
+
+  "_prg_scheme" :: "['a, 'a, 'a, 'a, 'a] \<Rightarrow> prgs"  
+                  ("SCHEME [_ \<le> _ < _] _// _" [0,0,0,60, 90] 57)
+
+translations
+  "_prg c q" \<rightleftharpoons> "[(Some c, q)]"
+  "_prgs c q ps" \<rightleftharpoons> "(Some c, q) # ps"
+  "_PAR ps" \<rightleftharpoons> "Parallel ps"
+
+  "_prg_scheme j i k c q" \<rightleftharpoons> "(map (\<lambda>i. (Some c, q)) [j..k(])"
+
+print_translation {*
+  let
+    fun quote_tr' f (t :: ts) =
+          Term.list_comb (f $ Syntax.quote_tr' "_antiquote" t, ts)
+      | quote_tr' _ _ = raise Match;
+
+    fun annquote_tr' f (r :: t :: ts) =
+          Term.list_comb (f $ r $ Syntax.quote_tr' "_antiquote" t, ts)
+      | annquote_tr' _ _ = raise Match;
+
+    val assert_tr' = quote_tr' (Syntax.const "_Assert");
+
+    fun bexp_tr' name ((Const ("Collect", _) $ t) :: ts) =
+          quote_tr' (Syntax.const name) (t :: ts)
+      | bexp_tr' _ _ = raise Match;
+
+    fun annbexp_tr' name (r :: (Const ("Collect", _) $ t) :: ts) =
+          annquote_tr' (Syntax.const name) (r :: t :: ts)
+      | annbexp_tr' _ _ = raise Match;
+
+    fun upd_tr' (x_upd, T) =
+      (case try (unsuffix RecordPackage.updateN) x_upd of
+        Some x => (x, if T = dummyT then T else Term.domain_type T)
+      | None => raise Match);
+
+    fun update_name_tr' (Free x) = Free (upd_tr' x)
+      | update_name_tr' ((c as Const ("_free", _)) $ Free x) =
+          c $ Free (upd_tr' x)
+      | update_name_tr' (Const x) = Const (upd_tr' x)
+      | update_name_tr' _ = raise Match;
+
+    fun assign_tr' (Abs (x, _, f $ t $ Bound 0) :: ts) =
+          quote_tr' (Syntax.const "_Assign" $ update_name_tr' f)
+            (Abs (x, dummyT, t) :: ts)
+      | assign_tr' _ = raise Match;
+
+    fun annassign_tr' (r :: Abs (x, _, f $ t $ Bound 0) :: ts) =
+          quote_tr' (Syntax.const "_AnnAssign" $ r $ update_name_tr' f)
+            (Abs (x, dummyT, t) :: ts)
+      | annassign_tr' _ = raise Match;
+
+    fun Parallel_PAR [(Const ("Cons",_) $ (Const ("Pair",_) $ (Const ("Some",_) $ t1 ) $ t2) $ Const ("Nil",_))] = 
+                   (Syntax.const "_prg" $ t1 $ t2)
+      | Parallel_PAR [(Const ("Cons",_) $ (Const ("Pair",_) $ (Const ("Some",_) $ t1) $ t2) $ ts)] =
+                     (Syntax.const "_prgs" $ t1 $ t2 $ Parallel_PAR [ts])
+      | Parallel_PAR _ = raise Match;
+
+fun Parallel_tr' ts = Syntax.const "_PAR" $ Parallel_PAR ts;
+  in
+    [("Collect", assert_tr'), ("Basic", assign_tr'), 
+      ("Cond", bexp_tr' "_Cond"), ("While", bexp_tr' "_While_inv"),
+      ("AnnBasic", annassign_tr'), 
+      ("AnnWhile", annbexp_tr' "_AnnWhile"), ("AnnAwait", annbexp_tr' "_AnnAwait"),
+      ("AnnCond1", annbexp_tr' "_AnnCond1"), ("AnnCond2", annbexp_tr' "_AnnCond2")]
+
+  end
+
+*}
+
+end
\ No newline at end of file
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