(* Title: Pure/Isar/interpretation.ML
Author: Clemens Ballarin, TU Muenchen
Author: Florian Haftmann, TU Muenchen
Locale interpretation.
*)
signature INTERPRETATION =
sig
type 'a defines = (Attrib.binding * ((binding * mixfix) * 'a)) list
(*interpretation in proofs*)
val interpret: Expression.expression_i -> Proof.state -> Proof.state
val interpret_cmd: Expression.expression -> Proof.state -> Proof.state
(*interpretation in local theories*)
val interpretation: Expression.expression_i -> local_theory -> Proof.state
val interpretation_cmd: Expression.expression -> local_theory -> Proof.state
(*interpretation into global theories*)
val global_interpretation: Expression.expression_i ->
term defines -> local_theory -> Proof.state
val global_interpretation_cmd: Expression.expression ->
string defines -> local_theory -> Proof.state
(*interpretation between locales*)
val sublocale: Expression.expression_i ->
term defines -> local_theory -> Proof.state
val sublocale_cmd: Expression.expression ->
string defines -> local_theory -> Proof.state
val global_sublocale: string -> Expression.expression_i ->
term defines -> theory -> Proof.state
val global_sublocale_cmd: xstring * Position.T -> Expression.expression ->
string defines -> theory -> Proof.state
(*mixed Isar interface*)
val isar_interpretation: Expression.expression_i -> local_theory -> Proof.state
val isar_interpretation_cmd: Expression.expression -> local_theory -> Proof.state
end;
structure Interpretation : INTERPRETATION =
struct
(** common interpretation machinery **)
type 'a defines = (Attrib.binding * ((binding * mixfix) * 'a)) list
(* reading of locale expressions with rewrite morphisms *)
local
fun augment_with_def prep_term ((name, atts), ((b, mx), raw_rhs)) lthy =
let
val rhs = prep_term lthy raw_rhs;
val lthy' = Variable.declare_term rhs lthy;
val ((_, (_, def)), lthy'') =
Local_Theory.define ((b, mx), ((Thm.def_binding_optional b name, atts), rhs)) lthy';
in (def, lthy'') end;
fun augment_with_defs _ [] _ ctxt = ([], ctxt)
(*quasi-inhomogeneous type: definitions demand local theory rather than bare proof context*)
| augment_with_defs prep_term raw_defs deps lthy =
let
val (_, inner_lthy) =
Local_Theory.open_target lthy
||> fold Locale.activate_declarations deps;
val (inner_defs, inner_lthy') =
fold_map (augment_with_def prep_term) raw_defs inner_lthy;
val lthy' =
inner_lthy'
|> Local_Theory.close_target;
val def_eqns =
map (singleton (Proof_Context.export inner_lthy' lthy') o Thm.symmetric) inner_defs
in (def_eqns, lthy') end;
fun prep_interpretation prep_expr prep_term
expression raw_defs initial_ctxt =
let
val ((propss, eq_propss, deps, eqnss, export), expr_ctxt) = prep_expr expression initial_ctxt;
val (def_eqns, def_ctxt) =
augment_with_defs prep_term raw_defs deps expr_ctxt;
val export' = Variable.export_morphism def_ctxt expr_ctxt;
in (((propss, eq_propss, deps, eqnss, export, export'), def_eqns), def_ctxt) end;
in
fun cert_interpretation expression =
prep_interpretation Expression.cert_goal_expression Syntax.check_term expression;
fun read_interpretation expression =
prep_interpretation Expression.read_goal_expression Syntax.read_term expression;
end;
(* interpretation machinery *)
local
fun meta_rewrite eqns ctxt =
(map (Local_Defs.abs_def_rule ctxt) (maps snd eqns), ctxt);
fun note_eqns_register pos note activate deps eqnss witss def_eqns thms export export' ctxt =
let
val thmss = unflat ((map o map) fst eqnss) thms;
val factss =
map2 (map2 (fn b => fn eq => (b, [([Morphism.thm export eq], [])]))) ((map o map) fst eqnss) thmss;
val (eqnss', ctxt') = fold_map (fn facts => note Thm.theoremK facts #-> meta_rewrite) factss ctxt;
val defs = (Binding.empty_atts, [(map (Morphism.thm (export' $> export)) def_eqns, [])]);
val (eqns', ctxt'') = ctxt'
|> note Thm.theoremK [defs]
|-> meta_rewrite;
val dep_morphs =
map2 (fn (dep, morph) => fn wits =>
let val morph' = morph
$> Element.satisfy_morphism (map (Element.transform_witness export') wits)
$> Morphism.binding_morphism "position" (Binding.set_pos pos)
in (dep, morph') end) deps witss;
fun activate' (dep_morph, eqns) ctxt =
activate dep_morph
(Option.map (rpair true) (Element.eq_morphism (Proof_Context.theory_of ctxt) (eqns @ eqns')))
export ctxt;
in ctxt'' |> fold activate' (dep_morphs ~~ eqnss') end;
in
fun generic_interpretation prep_interpretation setup_proof note add_registration
expression raw_defs initial_ctxt =
let
val (((propss, eq_propss, deps, eqnss, export, export'), def_eqns), goal_ctxt) =
prep_interpretation expression raw_defs initial_ctxt;
val pos = Position.thread_data ();
fun after_qed witss eqns =
note_eqns_register pos note add_registration deps eqnss witss def_eqns eqns export export';
in setup_proof after_qed propss (flat eq_propss) goal_ctxt end;
end;
(** interfaces **)
(* interpretation in proofs *)
local
fun gen_interpret prep_interpretation expression state =
let
val _ = Proof.assert_forward_or_chain state;
fun lift_after_qed after_qed witss eqns =
Proof.map_context (after_qed witss eqns) #> Proof.reset_facts;
fun setup_proof after_qed propss eqns goal_ctxt =
Element.witness_local_proof_eqs (lift_after_qed after_qed) "interpret"
propss eqns goal_ctxt state;
fun add_registration reg mixin export ctxt = ctxt
|> Proof_Context.set_stmt false
|> Context.proof_map (Locale.add_registration reg mixin export)
|> Proof_Context.restore_stmt ctxt;
in
Proof.context_of state
|> generic_interpretation prep_interpretation setup_proof
Attrib.local_notes add_registration expression []
end;
in
val interpret = gen_interpret cert_interpretation;
val interpret_cmd = gen_interpret read_interpretation;
end;
(* interpretation in local theories *)
fun interpretation expression =
generic_interpretation cert_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Locale.activate_fragment expression [];
fun interpretation_cmd expression =
generic_interpretation read_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Locale.activate_fragment expression [];
(* interpretation into global theories *)
fun global_interpretation expression =
generic_interpretation cert_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Local_Theory.theory_registration expression;
fun global_interpretation_cmd expression =
generic_interpretation read_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Local_Theory.theory_registration expression;
(* interpretation between locales *)
fun sublocale expression =
generic_interpretation cert_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Local_Theory.locale_dependency expression;
fun sublocale_cmd expression =
generic_interpretation read_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind Local_Theory.locale_dependency expression;
local
fun gen_global_sublocale prep_loc prep_interpretation
raw_locale expression raw_defs thy =
let
val lthy = Named_Target.init (prep_loc thy raw_locale) thy;
fun setup_proof after_qed =
Element.witness_proof_eqs
(fn wits => fn eqs => after_qed wits eqs #> Local_Theory.exit);
in
lthy |>
generic_interpretation prep_interpretation setup_proof
Local_Theory.notes_kind Local_Theory.locale_dependency expression raw_defs
end;
in
fun global_sublocale expression =
gen_global_sublocale (K I) cert_interpretation expression;
fun global_sublocale_cmd raw_expression =
gen_global_sublocale Locale.check read_interpretation raw_expression;
end;
(* mixed Isar interface *)
local
fun register_or_activate lthy =
if Named_Target.is_theory lthy
then Local_Theory.theory_registration
else Locale.activate_fragment;
fun gen_isar_interpretation prep_interpretation expression lthy =
generic_interpretation prep_interpretation Element.witness_proof_eqs
Local_Theory.notes_kind (register_or_activate lthy) expression [] lthy;
in
fun isar_interpretation expression =
gen_isar_interpretation cert_interpretation expression;
fun isar_interpretation_cmd raw_expression =
gen_isar_interpretation read_interpretation raw_expression;
end;
end;