author | haftmann |
Wed, 06 May 2009 16:01:06 +0200 | |
changeset 31048 | ac146fc38b51 |
parent 31031 | cbec39ebf8f2 |
child 31137 | cd3aafc1c631 |
permissions | -rw-r--r-- |
31048
ac146fc38b51
refined HOL string theories and corresponding ML fragments
haftmann
parents:
31031
diff
changeset
|
1 |
(* Author: Florian Haftmann, TU Muenchen *) |
26168 | 2 |
|
3 |
header {* Reflecting Pure types into HOL *} |
|
4 |
||
28952
15a4b2cf8c34
made repository layout more coherent with logical distribution structure; stripped some $Id$s
haftmann
parents:
28562
diff
changeset
|
5 |
theory Typerep |
31048
ac146fc38b51
refined HOL string theories and corresponding ML fragments
haftmann
parents:
31031
diff
changeset
|
6 |
imports Plain String |
26168 | 7 |
begin |
8 |
||
28335 | 9 |
datatype typerep = Typerep message_string "typerep list" |
26168 | 10 |
|
28335 | 11 |
class typerep = |
31031 | 12 |
fixes typerep :: "'a itself \<Rightarrow> typerep" |
26168 | 13 |
begin |
14 |
||
29574 | 15 |
definition typerep_of :: "'a \<Rightarrow> typerep" where |
28335 | 16 |
[simp]: "typerep_of x = typerep TYPE('a)" |
26168 | 17 |
|
18 |
end |
|
19 |
||
20 |
setup {* |
|
21 |
let |
|
28335 | 22 |
fun typerep_tr (*"_TYPEREP"*) [ty] = |
23 |
Lexicon.const @{const_syntax typerep} $ (Lexicon.const "_constrain" $ Lexicon.const "TYPE" $ |
|
26168 | 24 |
(Lexicon.const "itself" $ ty)) |
28335 | 25 |
| typerep_tr (*"_TYPEREP"*) ts = raise TERM ("typerep_tr", ts); |
26 |
fun typerep_tr' show_sorts (*"typerep"*) |
|
26168 | 27 |
(Type ("fun", [Type ("itself", [T]), _])) (Const (@{const_syntax TYPE}, _) :: ts) = |
28335 | 28 |
Term.list_comb (Lexicon.const "_TYPEREP" $ Syntax.term_of_typ show_sorts T, ts) |
29 |
| typerep_tr' _ T ts = raise Match; |
|
26168 | 30 |
in |
31 |
Sign.add_syntax_i |
|
28335 | 32 |
[("_TYPEREP", SimpleSyntax.read_typ "type => logic", Delimfix "(1TYPEREP/(1'(_')))")] |
33 |
#> Sign.add_trfuns ([], [("_TYPEREP", typerep_tr)], [], []) |
|
34 |
#> Sign.add_trfunsT [(@{const_syntax typerep}, typerep_tr')] |
|
26168 | 35 |
end |
36 |
*} |
|
37 |
||
38 |
ML {* |
|
28335 | 39 |
structure Typerep = |
26168 | 40 |
struct |
41 |
||
42 |
fun mk f (Type (tyco, tys)) = |
|
31048
ac146fc38b51
refined HOL string theories and corresponding ML fragments
haftmann
parents:
31031
diff
changeset
|
43 |
@{term Typerep} $ HOLogic.mk_message_string tyco |
28335 | 44 |
$ HOLogic.mk_list @{typ typerep} (map (mk f) tys) |
26168 | 45 |
| mk f (TFree v) = |
46 |
f v; |
|
47 |
||
28335 | 48 |
fun typerep ty = |
49 |
Const (@{const_name typerep}, Term.itselfT ty --> @{typ typerep}) |
|
26168 | 50 |
$ Logic.mk_type ty; |
51 |
||
52 |
fun add_def tyco thy = |
|
53 |
let |
|
28335 | 54 |
val sorts = replicate (Sign.arity_number thy tyco) @{sort typerep}; |
26168 | 55 |
val vs = Name.names Name.context "'a" sorts; |
56 |
val ty = Type (tyco, map TFree vs); |
|
28335 | 57 |
val lhs = Const (@{const_name typerep}, Term.itselfT ty --> @{typ typerep}) |
26168 | 58 |
$ Free ("T", Term.itselfT ty); |
28335 | 59 |
val rhs = mk (typerep o TFree) ty; |
26168 | 60 |
val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)); |
61 |
in |
|
62 |
thy |
|
28335 | 63 |
|> TheoryTarget.instantiation ([tyco], vs, @{sort typerep}) |
26168 | 64 |
|> `(fn lthy => Syntax.check_term lthy eq) |
28965 | 65 |
|-> (fn eq => Specification.definition (NONE, (Attrib.empty_binding, eq))) |
26168 | 66 |
|> snd |
67 |
|> Class.prove_instantiation_instance (K (Class.intro_classes_tac [])) |
|
28394 | 68 |
|> LocalTheory.exit_global |
26168 | 69 |
end; |
70 |
||
71 |
fun perhaps_add_def tyco thy = |
|
72 |
let |
|
28335 | 73 |
val inst = can (Sorts.mg_domain (Sign.classes_of thy) tyco) @{sort typerep} |
26168 | 74 |
in if inst then thy else add_def tyco thy end; |
75 |
||
76 |
end; |
|
77 |
*} |
|
78 |
||
79 |
setup {* |
|
31031 | 80 |
Typerep.add_def @{type_name fun} |
28335 | 81 |
#> Typerep.add_def @{type_name itself} |
82 |
#> Typerep.add_def @{type_name bool} |
|
83 |
#> TypedefPackage.interpretation Typerep.perhaps_add_def |
|
26168 | 84 |
*} |
85 |
||
28562 | 86 |
lemma [code]: |
28346
b8390cd56b8f
discontinued special treatment of op = vs. eq_class.eq
haftmann
parents:
28335
diff
changeset
|
87 |
"eq_class.eq (Typerep tyco1 tys1) (Typerep tyco2 tys2) \<longleftrightarrow> eq_class.eq tyco1 tyco2 |
b8390cd56b8f
discontinued special treatment of op = vs. eq_class.eq
haftmann
parents:
28335
diff
changeset
|
88 |
\<and> list_all2 eq_class.eq tys1 tys2" |
b8390cd56b8f
discontinued special treatment of op = vs. eq_class.eq
haftmann
parents:
28335
diff
changeset
|
89 |
by (auto simp add: equals_eq [symmetric] list_all2_eq [symmetric]) |
26168 | 90 |
|
28335 | 91 |
code_type typerep |
31031 | 92 |
(Eval "Term.typ") |
26168 | 93 |
|
28335 | 94 |
code_const Typerep |
31031 | 95 |
(Eval "Term.Type/ (_, _)") |
26168 | 96 |
|
31031 | 97 |
code_reserved Eval Term |
26168 | 98 |
|
28335 | 99 |
hide (open) const typerep Typerep |
26168 | 100 |
|
101 |
end |