(* Title: Pure/Isar/attrib.ML
ID: $Id$
Author: Markus Wenzel, TU Muenchen
Symbolic theorem attributes.
*)
signature BASIC_ATTRIB =
sig
val print_attributes: theory -> unit
val Attribute: bstring -> (Args.src -> theory attribute) * (Args.src -> Proof.context attribute)
-> string -> unit
end;
signature ATTRIB =
sig
include BASIC_ATTRIB
exception ATTRIB_FAIL of (string * Position.T) * exn
val global_attribute: theory -> Args.src -> theory attribute
val local_attribute: theory -> Args.src -> Proof.context attribute
val local_attribute': Proof.context -> Args.src -> Proof.context attribute
val add_attributes: (bstring * ((Args.src -> theory attribute) *
(Args.src -> Proof.context attribute)) * string) list -> theory -> theory
val global_thm: theory * Args.T list -> tthm * (theory * Args.T list)
val global_thms: theory * Args.T list -> tthm list * (theory * Args.T list)
val global_thmss: theory * Args.T list -> tthm list * (theory * Args.T list)
val local_thm: Proof.context * Args.T list -> tthm * (Proof.context * Args.T list)
val local_thms: Proof.context * Args.T list -> tthm list * (Proof.context * Args.T list)
val local_thmss: Proof.context * Args.T list -> tthm list * (Proof.context * Args.T list)
val syntax: ('a * Args.T list -> 'a attribute * ('a * Args.T list)) -> Args.src -> 'a attribute
val no_args: 'a attribute -> Args.src -> 'a attribute
val setup: (theory -> theory) list
end;
structure Attrib: ATTRIB =
struct
(** attributes theory data **)
(* data kind 'Isar/attributes' *)
structure AttributesDataArgs =
struct
val name = "Isar/attributes";
type T =
{space: NameSpace.T,
attrs:
((((Args.src -> theory attribute) * (Args.src -> Proof.context attribute))
* string) * stamp) Symtab.table};
val empty = {space = NameSpace.empty, attrs = Symtab.empty};
val prep_ext = I;
fun merge ({space = space1, attrs = attrs1}, {space = space2, attrs = attrs2}) =
{space = NameSpace.merge (space1, space2),
attrs = Symtab.merge eq_snd (attrs1, attrs2) handle Symtab.DUPS dups =>
error ("Attempt to merge different versions of attributes " ^ commas_quote dups)};
fun print _ ({space, attrs}) =
let
fun prt_attr (name, ((_, comment), _)) = Pretty.block
[Pretty.str (NameSpace.cond_extern space name ^ ":"), Pretty.brk 2, Pretty.str comment];
in
Pretty.writeln (Display.pretty_name_space ("attribute name space", space));
Pretty.writeln (Pretty.big_list "attributes:" (map prt_attr (Symtab.dest attrs)))
end;
end;
structure AttributesData = TheoryDataFun(AttributesDataArgs);
val print_attributes = AttributesData.print;
(* get global / local attributes *)
exception ATTRIB_FAIL of (string * Position.T) * exn;
fun gen_attribute which thy =
let
val {space, attrs} = AttributesData.get thy;
fun attr src =
let
val ((raw_name, _), pos) = Args.dest_src src;
val name = NameSpace.intern space raw_name;
in
(case Symtab.lookup (attrs, name) of
None => error ("Unknown attribute: " ^ quote name ^ Position.str_of pos)
| Some ((p, _), _) => transform_failure (curry ATTRIB_FAIL (name, pos)) (which p src))
end;
in attr end;
val global_attribute = gen_attribute fst;
val local_attribute = gen_attribute snd;
val local_attribute' = local_attribute o ProofContext.theory_of;
(* add_attributes *)
fun add_attributes raw_attrs thy =
let
val full = Sign.full_name (Theory.sign_of thy);
val new_attrs =
map (fn (name, (f, g), comment) => (full name, (((f, g), comment), stamp ()))) raw_attrs;
val {space, attrs} = AttributesData.get thy;
val space' = NameSpace.extend (space, map fst new_attrs);
val attrs' = Symtab.extend (attrs, new_attrs) handle Symtab.DUPS dups =>
error ("Duplicate declaration of attributes(s) " ^ commas_quote dups);
in thy |> AttributesData.put {space = space', attrs = attrs'} end;
(*implicit version*)
fun Attribute name att cmt = Context.>> (add_attributes [(name, att, cmt)]);
(** attribute parsers **)
(* tags *)
fun tag x = Scan.lift (Args.name -- Scan.repeat Args.name) x;
(* theorems *)
fun gen_thm get attrib app =
Scan.depend (fn st => Args.name -- Args.opt_attribs >>
(fn (name, srcs) => app ((st, get st name), map (attrib st) srcs)));
val global_thm = gen_thm PureThy.get_tthm global_attribute Attribute.apply;
val global_thms = gen_thm PureThy.get_tthms global_attribute Attribute.applys;
val global_thmss = Scan.repeat global_thms >> flat;
val local_thm = gen_thm ProofContext.get_tthm local_attribute' Attribute.apply;
val local_thms = gen_thm ProofContext.get_tthms local_attribute' Attribute.applys;
val local_thmss = Scan.repeat local_thms >> flat;
(** attribute syntax **)
fun syntax scan src (st, th) =
let val (st', f) = Args.syntax "attribute" scan st src
in f (st', th) end;
fun no_args x = syntax (Scan.succeed x);
(** Pure attributes **)
(* tags *)
fun gen_tag x = syntax (tag >> Attribute.tag) x;
fun gen_untag x = syntax (tag >> Attribute.untag) x;
(* transfer *)
fun gen_transfer theory_of = no_args (Attribute.rule (fn st => Thm.transfer (theory_of st)));
val global_transfer = gen_transfer I;
val local_transfer = gen_transfer ProofContext.theory_of;
(* RS *)
fun resolve (i, B) (x, A) =
(x, Attribute.tthm_of (Attribute.thm_of A RSN (i, Attribute.thm_of B)));
fun gen_RS thm = syntax (Scan.lift (Scan.optional Args.nat 1) -- thm >> resolve);
val global_RS = gen_RS global_thm;
val local_RS = gen_RS local_thm;
(* APP *)
fun apply Bs (x, A) =
(x, Attribute.tthm_of (Attribute.thms_of Bs MRS Attribute.thm_of A));
val global_APP = syntax (global_thmss >> apply);
val local_APP = syntax (local_thmss >> apply);
(* where: named instantiations *)
fun read_instantiate context_of insts x thm =
let
val ctxt = context_of x;
val sign = ProofContext.sign_of ctxt;
val vars = Drule.vars_of thm;
fun get_typ xi =
(case assoc (vars, xi) of
Some T => T
| None => error ("No such variable in theorem: " ^ Syntax.string_of_vname xi));
val (xs, ss) = Library.split_list insts;
val Ts = map get_typ xs;
val (ts, envT) = ProofContext.read_termTs (ctxt |> ProofContext.declare_thm thm) (ss ~~ Ts);
val cenvT = map (apsnd (Thm.ctyp_of sign)) envT;
val cenv =
map (fn (xi, t) => pairself (Thm.cterm_of sign) (Var (xi, fastype_of t), t))
(gen_distinct (fn ((x1, t1), (x2, t2)) => x1 = x2 andalso t1 aconv t2) (xs ~~ ts));
in Thm.instantiate (cenvT, cenv) thm end;
fun insts x = Scan.lift (Args.enum "and" (Args.var --| Args.$$$ "=" -- Args.name)) x;
fun gen_where context_of = syntax (insts >> (Attribute.rule o read_instantiate context_of));
val global_where = gen_where ProofContext.init;
val local_where = gen_where I;
(* with: positional instantiations *)
fun read_instantiate' context_of (args, concl_args) x thm =
let
fun zip_vars _ [] = []
| zip_vars (_ :: xs) (None :: opt_ts) = zip_vars xs opt_ts
| zip_vars ((x, _) :: xs) (Some t :: opt_ts) = (x, t) :: zip_vars xs opt_ts
| zip_vars [] _ = error "More instantiations than variables in theorem";
val insts =
zip_vars (Drule.vars_of_terms [#prop (Thm.rep_thm thm)]) args @
zip_vars (Drule.vars_of_terms [Thm.concl_of thm]) concl_args;
in read_instantiate context_of insts x thm end;
val concl = Args.$$$ "concl" -- Args.$$$ ":";
val inst_arg = Scan.unless concl (Args.$$$ "_" >> K None || Args.name >> Some);
val inst_args = Scan.repeat inst_arg;
fun insts' x = Scan.lift (inst_args -- Scan.optional (concl |-- Args.!!! inst_args) []) x;
fun gen_with context_of = syntax (insts' >> (Attribute.rule o read_instantiate' context_of));
val global_with = gen_with ProofContext.init;
val local_with = gen_with I;
(* misc rules *)
fun standard x = no_args (Attribute.rule (K Drule.standard)) x;
fun elimify x = no_args (Attribute.rule (K Tactic.make_elim)) x;
(** theory setup **)
(* pure_attributes *)
val pure_attributes =
[("tag", (gen_tag, gen_tag), "tag theorem"),
("untag", (gen_untag, gen_untag), "untag theorem"),
("RS", (global_RS, local_RS), "resolve with rule"),
("APP", (global_APP, local_APP), "resolve rule with"),
("where", (global_where, local_where), "named instantiation of theorem"),
("with", (global_with, local_with), "positional instantiation of theorem"),
("standard", (standard, standard), "put theorem into standard form"),
("elimify", (elimify, elimify), "turn destruct rule into elimination rule"),
("transfer", (global_transfer, local_transfer), "transfer theorem to this theory")];
(* setup *)
val setup = [AttributesData.init, add_attributes pure_attributes];
end;
structure BasicAttrib: BASIC_ATTRIB = Attrib;
open BasicAttrib;