src/Pure/Isar/specification.ML

Theory specifications --- with type-inference, but no internal polymorphism.

(*  Title:      Pure/Isar/specification.ML
    ID:         $Id$
    Author:     Makarius

Theory specifications --- with type-inference, but no internal
polymorphism.
*)

signature SPECIFICATION =
sig
  val pretty_consts: theory -> (string * typ) list -> Pretty.T
  val read_specification:
    (string * string option * mixfix) list * ((string * Attrib.src list) * string list) list ->
    Proof.context ->
    ((string * typ * mixfix) list * ((string * theory attribute list) * term list) list) *
    Proof.context
  val cert_specification:
    (string * typ option * mixfix) list * ((string * theory attribute list) * term list) list ->
    Proof.context ->
    ((string * typ * mixfix) list * ((string * theory attribute list) * term list) list) *
    Proof.context
  val axiomatize:
    (string * string option * mixfix) list * ((bstring * Attrib.src list) * string list) list ->
    theory -> thm list list * theory
  val axiomatize_i:
    (string * typ option * mixfix) list * ((bstring * theory attribute list) * term list) list ->
    theory -> thm list list * theory
end;

structure Specification: SPECIFICATION =
struct

(* pretty_consts *)

fun pretty_const thy (c, T) =
  Pretty.block [Pretty.str c, Pretty.str " ::", Pretty.brk 1,
    Pretty.quote (Sign.pretty_typ thy T)];

fun pretty_consts thy decls =
  Pretty.big_list "constants" (map (pretty_const thy) decls);


(* prepare specification *)

fun prep_specification prep_typ prep_propp prep_att
    (raw_params, raw_specs) context =
  let
    fun prep_param (x, raw_T, mx) ctxt =
      let
        val x' = Syntax.const_name x mx and mx' = Syntax.fix_mixfix x mx;
        val T = Option.map (prep_typ ctxt) raw_T;
      in ((x', mx'), ProofContext.add_fixes [(x', T, SOME mx')] ctxt) end;

    val ((xs, mxs), params_ctxt) =
      context |> fold_map prep_param raw_params |>> split_list;
    val ((specs, vars), specs_ctxt) =
      prep_propp (params_ctxt, map (map (rpair ([], [])) o snd) raw_specs)
      |> swap |>> map (map fst)
      ||>> fold_map ProofContext.declared_type xs;

    val params = map2 (fn (x, T) => fn mx => (x, T, mx)) vars mxs;
    val names = map (fst o fst) raw_specs;
    val atts = map (map (prep_att (ProofContext.theory_of context)) o snd o fst) raw_specs;
  in ((params, (names ~~ atts) ~~ specs), specs_ctxt) end;

fun read_specification x =
  prep_specification ProofContext.read_typ ProofContext.read_propp Attrib.global_attribute x;
fun cert_specification x =
  prep_specification ProofContext.cert_typ ProofContext.cert_propp (K I) x;


(* axiomatize *)

fun gen_axiomatize prep args thy =
  let
    val ((consts, specs), ctxt) = prep args (ProofContext.init thy);
    val subst = map (fn (x, T, _) => (Free (x, T), Const (Sign.full_name thy x, T))) consts;
    val axioms =
      map (fn ((name, att), ts) => ((name, map (Term.subst_atomic subst) ts), att)) specs;
    val (thms, thy') =
      thy
      |> Theory.add_consts_i consts
      |> PureThy.add_axiomss_i axioms
      ||> Theory.add_finals_i false (map snd subst);
  in Pretty.writeln (pretty_consts thy' (map (dest_Free o fst) subst)); (thms, thy') end;

val axiomatize = gen_axiomatize read_specification;
val axiomatize_i = gen_axiomatize cert_specification;

end;