swapped Toplevel.theory_context;
definition(_i): actually rulify as well, support more of object-logic;
definition(_i): more precise treatment of local fixes;
(* Title: Pure/Isar/specification.ML
ID: $Id$
Author: Makarius
Common theory/locale specifications --- with type-inference and
toplevel polymorphism.
*)
signature SPECIFICATION =
sig
val read_specification: (string * string option * mixfix) list ->
((string * Attrib.src list) * string list) list -> Proof.context ->
(((string * typ) * mixfix) list * ((string * Attrib.src list) * term list) list) *
Proof.context
val cert_specification: (string * typ option * mixfix) list ->
((string * Attrib.src list) * term list) list -> Proof.context ->
(((string * typ) * mixfix) list * ((string * Attrib.src list) * term list) list) *
Proof.context
val axiomatization: xstring option -> (string * string option * mixfix) list ->
((bstring * Attrib.src list) * string list) list -> theory ->
(term list * (bstring * thm list) list) * (Proof.context * theory)
val axiomatization_i: string option -> (string * typ option * mixfix) list ->
((bstring * Attrib.src list) * term list) list -> theory ->
(term list * (bstring * thm list) list) * (Proof.context * theory)
val definition: xstring option ->
((string * string option * mixfix) option * ((string * Attrib.src list) * string)) list ->
theory -> (term * (bstring * thm)) list * (Proof.context * theory)
val definition_i: string option ->
((string * typ option * mixfix) option * ((string * Attrib.src list) * term)) list ->
theory -> (term * (bstring * thm)) list * (Proof.context * theory)
end;
structure Specification: SPECIFICATION =
struct
(* prepare specification *)
fun prep_specification prep_vars prep_propp prep_att
raw_vars raw_specs ctxt =
let
val thy = ProofContext.theory_of ctxt;
val (vars, vars_ctxt) = ctxt |> prep_vars raw_vars;
val (xs, params_ctxt) = vars_ctxt |> ProofContext.add_fixes_i vars;
val ((specs, vs), specs_ctxt) =
prep_propp (params_ctxt, map (map (rpair ([], [])) o snd) raw_specs)
|> swap |>> map (map fst)
||>> fold_map ProofContext.inferred_param xs;
val params = vs ~~ map #3 vars;
val names = map (fst o fst) raw_specs;
val atts = map (map (prep_att thy) o snd o fst) raw_specs;
in ((params, (names ~~ atts) ~~ specs), specs_ctxt) end;
fun read_specification x =
prep_specification ProofContext.read_vars ProofContext.read_propp Attrib.intern_src x;
fun cert_specification x =
prep_specification ProofContext.cert_vars ProofContext.cert_propp (K I) x;
(* axiomatization *)
fun gen_axiomatization prep init locale raw_vars raw_specs thy =
let
val ctxt = init locale thy;
val (vars, specs) = fst (prep raw_vars raw_specs ctxt);
val (consts, consts_ctxt) = ctxt |> LocalTheory.consts vars;
val subst = Term.subst_atomic (map (Free o fst) vars ~~ consts);
val (axioms, axioms_ctxt) =
consts_ctxt
|> LocalTheory.axioms (specs |> map (fn (a, props) => (a, map subst props)))
||> LocalTheory.theory (Theory.add_finals_i false (map Term.head_of consts));
val _ =
if null vars then ()
else Pretty.writeln (LocalTheory.pretty_consts ctxt (map fst vars));
in ((consts, axioms), LocalTheory.exit axioms_ctxt) end;
val axiomatization = gen_axiomatization read_specification LocalTheory.init;
val axiomatization_i = gen_axiomatization cert_specification LocalTheory.init_i;
(* definition *)
fun gen_definition prep init locale args thy =
let
fun define (raw_var, (raw_a, raw_prop)) ctxt =
let
val (vars, [(a, [prop])]) = fst (prep (the_list raw_var) [(raw_a, [raw_prop])] ctxt);
val ((x, T), rhs) = prop
|> ObjectLogic.rulify_term thy
|> ObjectLogic.unatomize_term thy (*produce meta-level equality*)
|> Logic.strip_imp_concl
|> (snd o ProofContext.cert_def ctxt)
|> ProofContext.abs_def;
val mx = (case vars of [] => NoSyn | [((x', _), mx)] =>
if x = x' then mx
else error ("Head of definition " ^ quote x ^ " differs from declaration " ^ quote x'));
fun prove ctxt' const def =
let
val thy' = ProofContext.theory_of ctxt';
val prop' = Term.subst_atomic [(Free (x, T), const)] prop;
val frees = Term.fold_aterms (fn Free (x, _) =>
if ProofContext.is_fixed ctxt' x then I else insert (op =) x | _ => I) prop' [];
in
Goal.prove thy' frees [] prop' (K (ALLGOALS
(ObjectLogic.rulify_tac THEN'
ObjectLogic.unatomize_tac THEN'
Tactic.rewrite_goal_tac [def] THEN'
Tactic.resolve_tac [Drule.reflexive_thm])))
handle ERROR msg => cat_error msg "Failed to prove definitional specification."
end;
in
ctxt
|> LocalTheory.def_finish prove ((x, mx), (a, rhs))
|>> pair (x, T)
end;
val ctxt = init locale thy;
val ((decls, defs), defs_ctxt) = ctxt |> fold_map define args |>> split_list;
val _ =
if null decls then ()
else Pretty.writeln (LocalTheory.pretty_consts ctxt decls);
in (defs, LocalTheory.exit defs_ctxt) end;
val definition = gen_definition read_specification LocalTheory.init;
val definition_i = gen_definition cert_specification LocalTheory.init_i;
end;