author | wenzelm |
Tue, 16 Feb 2010 14:08:39 +0100 | |
changeset 35145 | f132a4fd8679 |
parent 35113 | 1a0c129bb2e0 |
child 41229 | d797baa3d57c |
permissions | -rw-r--r-- |
15425 | 1 |
theory OG_Syntax |
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imports OG_Tactics Quote_Antiquote |
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begin |
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13020 | 4 |
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text{* Syntax for commands and for assertions and boolean expressions in |
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commands @{text com} and annotated commands @{text ann_com}. *} |
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35107 | 8 |
abbreviation Skip :: "'a com" ("SKIP" 63) |
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where "SKIP \<equiv> Basic id" |
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abbreviation AnnSkip :: "'a assn \<Rightarrow> 'a ann_com" ("_//SKIP" [90] 63) |
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where "r SKIP \<equiv> AnnBasic r id" |
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notation |
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Seq ("_,,/ _" [55, 56] 55) and |
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AnnSeq ("_;;/ _" [60,61] 60) |
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13020 | 18 |
syntax |
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"_Assign" :: "idt \<Rightarrow> 'b \<Rightarrow> 'a com" ("(\<acute>_ :=/ _)" [70, 65] 61) |
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"_AnnAssign" :: "'a assn \<Rightarrow> idt \<Rightarrow> 'b \<Rightarrow> 'a com" ("(_ \<acute>_ :=/ _)" [90,70,65] 61) |
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translations |
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35107 | 23 |
"\<acute>x := a" \<rightharpoonup> "CONST Basic \<guillemotleft>\<acute>(_update_name x (\<lambda>_. a))\<guillemotright>" |
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"r \<acute>x := a" \<rightharpoonup> "CONST AnnBasic r \<guillemotleft>\<acute>(_update_name x (\<lambda>_. a))\<guillemotright>" |
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13020 | 25 |
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syntax |
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"_AnnCond1" :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com" |
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("_ //IF _ /THEN _ /ELSE _ /FI" [90,0,0,0] 61) |
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"_AnnCond2" :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com" |
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("_ //IF _ /THEN _ /FI" [90,0,0] 61) |
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"_AnnWhile" :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a assn \<Rightarrow> 'a ann_com \<Rightarrow> 'a ann_com" |
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("_ //WHILE _ /INV _ //DO _//OD" [90,0,0,0] 61) |
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"_AnnAwait" :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a ann_com" |
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("_ //AWAIT _ /THEN /_ /END" [90,0,0] 61) |
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"_AnnAtom" :: "'a assn \<Rightarrow> 'a com \<Rightarrow> 'a ann_com" ("_//\<langle>_\<rangle>" [90,0] 61) |
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"_AnnWait" :: "'a assn \<Rightarrow> 'a bexp \<Rightarrow> 'a ann_com" ("_//WAIT _ END" [90,0] 61) |
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"_Cond" :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com \<Rightarrow> 'a com" |
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("(0IF _/ THEN _/ ELSE _/ FI)" [0, 0, 0] 61) |
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"_Cond2" :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com" ("IF _ THEN _ FI" [0,0] 56) |
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"_While_inv" :: "'a bexp \<Rightarrow> 'a assn \<Rightarrow> 'a com \<Rightarrow> 'a com" |
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("(0WHILE _/ INV _ //DO _ /OD)" [0, 0, 0] 61) |
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"_While" :: "'a bexp \<Rightarrow> 'a com \<Rightarrow> 'a com" |
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("(0WHILE _ //DO _ /OD)" [0, 0] 61) |
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translations |
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35107 | 47 |
"IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "CONST Cond .{b}. c1 c2" |
13020 | 48 |
"IF b THEN c FI" \<rightleftharpoons> "IF b THEN c ELSE SKIP FI" |
35113 | 49 |
"WHILE b INV i DO c OD" \<rightharpoonup> "CONST While .{b}. i c" |
28524 | 50 |
"WHILE b DO c OD" \<rightleftharpoons> "WHILE b INV CONST undefined DO c OD" |
13020 | 51 |
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35107 | 52 |
"r IF b THEN c1 ELSE c2 FI" \<rightharpoonup> "CONST AnnCond1 r .{b}. c1 c2" |
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"r IF b THEN c FI" \<rightharpoonup> "CONST AnnCond2 r .{b}. c" |
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"r WHILE b INV i DO c OD" \<rightharpoonup> "CONST AnnWhile r .{b}. i c" |
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"r AWAIT b THEN c END" \<rightharpoonup> "CONST AnnAwait r .{b}. c" |
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35113 | 56 |
"r \<langle>c\<rangle>" \<rightleftharpoons> "r AWAIT CONST True THEN c END" |
13020 | 57 |
"r WAIT b END" \<rightleftharpoons> "r AWAIT b THEN SKIP END" |
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nonterminals |
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prgs |
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syntax |
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"_PAR" :: "prgs \<Rightarrow> 'a" ("COBEGIN//_//COEND" [57] 56) |
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"_prg" :: "['a, 'a] \<Rightarrow> prgs" ("_//_" [60, 90] 57) |
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"_prgs" :: "['a, 'a, prgs] \<Rightarrow> prgs" ("_//_//\<parallel>//_" [60,90,57] 57) |
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"_prg_scheme" :: "['a, 'a, 'a, 'a, 'a] \<Rightarrow> prgs" |
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("SCHEME [_ \<le> _ < _] _// _" [0,0,0,60, 90] 57) |
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translations |
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35107 | 71 |
"_prg c q" \<rightleftharpoons> "[(CONST Some c, q)]" |
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"_prgs c q ps" \<rightleftharpoons> "(CONST Some c, q) # ps" |
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"_PAR ps" \<rightleftharpoons> "CONST Parallel ps" |
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13020 | 74 |
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35107 | 75 |
"_prg_scheme j i k c q" \<rightleftharpoons> "CONST map (\<lambda>i. (CONST Some c, q)) [j..<k]" |
13020 | 76 |
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print_translation {* |
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let |
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fun quote_tr' f (t :: ts) = |
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35113 | 80 |
Term.list_comb (f $ Syntax.quote_tr' @{syntax_const "_antiquote"} t, ts) |
13020 | 81 |
| quote_tr' _ _ = raise Match; |
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fun annquote_tr' f (r :: t :: ts) = |
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35113 | 84 |
Term.list_comb (f $ r $ Syntax.quote_tr' @{syntax_const "_antiquote"} t, ts) |
13020 | 85 |
| annquote_tr' _ _ = raise Match; |
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35113 | 87 |
val assert_tr' = quote_tr' (Syntax.const @{syntax_const "_Assert"}); |
13020 | 88 |
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35107 | 89 |
fun bexp_tr' name ((Const (@{const_syntax Collect}, _) $ t) :: ts) = |
13020 | 90 |
quote_tr' (Syntax.const name) (t :: ts) |
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| bexp_tr' _ _ = raise Match; |
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35107 | 93 |
fun annbexp_tr' name (r :: (Const (@{const_syntax Collect}, _) $ t) :: ts) = |
13020 | 94 |
annquote_tr' (Syntax.const name) (r :: t :: ts) |
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| annbexp_tr' _ _ = raise Match; |
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35107 | 97 |
fun K_tr' (Abs (_, _, t)) = |
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if null (loose_bnos t) then t else raise Match |
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| K_tr' (Abs (_, _, Abs (_, _, t) $ Bound 0)) = |
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if null (loose_bnos t) then t else raise Match |
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25706 | 101 |
| K_tr' _ = raise Match; |
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fun assign_tr' (Abs (x, _, f $ k $ Bound 0) :: ts) = |
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35145
f132a4fd8679
moved generic update_name to Pure syntax -- not specific to HOL/record;
wenzelm
parents:
35113
diff
changeset
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quote_tr' (Syntax.const @{syntax_const "_Assign"} $ Syntax.update_name_tr' f) |
25706 | 105 |
(Abs (x, dummyT, K_tr' k) :: ts) |
13020 | 106 |
| assign_tr' _ = raise Match; |
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25706 | 108 |
fun annassign_tr' (r :: Abs (x, _, f $ k $ Bound 0) :: ts) = |
35145
f132a4fd8679
moved generic update_name to Pure syntax -- not specific to HOL/record;
wenzelm
parents:
35113
diff
changeset
|
109 |
quote_tr' (Syntax.const @{syntax_const "_AnnAssign"} $ r $ Syntax.update_name_tr' f) |
25706 | 110 |
(Abs (x, dummyT, K_tr' k) :: ts) |
13020 | 111 |
| annassign_tr' _ = raise Match; |
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35107 | 113 |
fun Parallel_PAR [(Const (@{const_syntax Cons}, _) $ |
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(Const (@{const_syntax Pair}, _) $ (Const (@{const_syntax Some},_) $ t1 ) $ t2) $ |
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Const (@{const_syntax Nil}, _))] = Syntax.const @{syntax_const "_prg"} $ t1 $ t2 |
35107 | 116 |
| Parallel_PAR [(Const (@{const_syntax Cons}, _) $ |
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(Const (@{const_syntax Pair}, _) $ (Const (@{const_syntax Some}, _) $ t1) $ t2) $ ts)] = |
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Syntax.const @{syntax_const "_prgs"} $ t1 $ t2 $ Parallel_PAR [ts] |
13020 | 119 |
| Parallel_PAR _ = raise Match; |
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35113 | 121 |
fun Parallel_tr' ts = Syntax.const @{syntax_const "_PAR"} $ Parallel_PAR ts; |
13020 | 122 |
in |
35107 | 123 |
[(@{const_syntax Collect}, assert_tr'), |
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(@{const_syntax Basic}, assign_tr'), |
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(@{const_syntax Cond}, bexp_tr' "_Cond"), |
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(@{const_syntax While}, bexp_tr' "_While_inv"), |
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(@{const_syntax AnnBasic}, annassign_tr'), |
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(@{const_syntax AnnWhile}, annbexp_tr' "_AnnWhile"), |
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(@{const_syntax AnnAwait}, annbexp_tr' "_AnnAwait"), |
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(@{const_syntax AnnCond1}, annbexp_tr' "_AnnCond1"), |
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(@{const_syntax AnnCond2}, annbexp_tr' "_AnnCond2")] |
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end; |
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13020 | 133 |
*} |
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end |