module C = Cic
module I = CicInspect
-module D = Deannotate
module S = CicSubstitution
module TC = CicTypeChecker
module Un = CicUniv
module Cl = ProceduralClassify
module T = ProceduralTypes
module Cn = ProceduralConversion
+module H = ProceduralHelpers
type status = {
sorts : (C.id, A.sort_kind) Hashtbl.t;
intros: string option list;
clears: string list;
clears_note: string;
- case: int list
+ case: int list;
+ skip_thm_and_qed : bool;
}
(* helpers ******************************************************************)
-let cic = D.deannotate_term
-
let split2_last l1 l2 =
try
let n = pred (List.length l1) in
*)
let get_type msg st bo =
try
- let ty, _ = TC.type_of_aux' [] st.context (cic bo) Un.empty_ugraph in
+ let ty, _ = TC.type_of_aux' [] st.context (H.cic bo) Un.empty_ugraph in
ty
with e -> failwith (msg ^ ": " ^ Printexc.to_string e)
(* proof construction *******************************************************)
+let used_premise = C.Name "USED"
+
let mk_exp_args hd tl classes synth =
let meta id = C.AImplicit (id, None) in
let map v (cl, b) =
let args = aux args in
if args = [] then hd else C.AAppl ("", hd :: args)
+let mk_convert st ?name sty ety note =
+ let e = Cn.hole "" in
+ let csty, cety = H.cic sty, H.cic ety in
+ let _note = Printf.sprintf "%s\nSINTH: %s\nEXP: %s"
+ note (Pp.ppterm csty) (Pp.ppterm cety)
+ in
+ assert (Ut.is_sober csty);
+ assert (Ut.is_sober cety);
+ if Ut.alpha_equivalence csty cety then [(* T.Note note *)] else
+ let sty, ety = H.acic_bc st.context sty, H.acic_bc st.context ety in
+ match name with
+ | None -> [T.Change (sty, ety, None, e, ""(*note*))]
+ | Some (id, i) ->
+ begin match get_entry st id with
+ | C.Def _ -> assert false (* [T.ClearBody (id, note)] *)
+ | C.Decl _ -> [T.Change (ety, sty, Some (id, Some id), e, "" (* note *))]
+ end
+
let convert st ?name v =
match get_inner_types st v with
- | None -> []
- | Some (sty, ety) ->
- let e = Cn.hole "" in
- let csty, cety = cic sty, cic ety in
- if Ut.alpha_equivalence csty cety then [] else
- match name with
- | None -> [T.Change (sty, ety, None, e, "")]
- | Some (id, i) ->
- begin match get_entry st id with
- | C.Def _ -> [T.ClearBody (id, "")]
- | C.Decl w ->
- let w = S.lift i w in
- if Ut.alpha_equivalence csty w then []
- else
- [T.Note (Pp.ppterm csty); T.Note (Pp.ppterm w);
- T.Change (sty, ety, Some (id, Some id), e, "")]
- end
-
+ | None -> [(*T.Note "NORMAL: NO INNER TYPES"*)]
+ | Some (sty, ety) -> mk_convert st ?name sty ety "NORMAL"
+
+let convert_elim st ?name t v pattern =
+ match t, get_inner_types st t, get_inner_types st v with
+ | _, None, _
+ | _, _, None -> [(* T.Note "ELIM: NO INNER TYPES"*)]
+ | C.AAppl (_, hd :: tl), Some (tsty, _), Some (vsty, _) ->
+ let where = List.hd (List.rev tl) in
+ let cty = Cn.elim_inferred_type
+ st.context (H.cic vsty) (H.cic where) (H.cic hd) (H.cic pattern)
+ in
+ mk_convert st ?name (Cn.fake_annotate "" st.context cty) tsty "ELIM"
+ | _, Some _, Some _ -> assert false
+
let get_intro = function
| C.Anonymous -> None
| C.Name s -> Some s
-let mk_intros st script =
+let mk_intros st what script =
let intros st script =
if st.intros = [] then script else
let count = List.length st.intros in
T.Intros (Some count, List.rev st.intros, "") :: script
in
let clears st script =
- if st.clears = [] then script else T.Clear (st.clears, st.clears_note) :: script
+ if true (* st.clears = [] *) then script else T.Clear (st.clears, st.clears_note) :: script
in
- intros st (clears st script)
+ intros st (clears st (convert st what @ script))
let mk_arg st = function
| C.ARel (_, _, i, name) as what -> convert st ~name:(name, i) what
| _ -> []
-let mk_fwd_rewrite st dtext name tl direction =
+let mk_fwd_rewrite st dtext name tl direction t =
assert (List.length tl = 6);
let what, where, predicate = List.nth tl 5, List.nth tl 3, List.nth tl 2 in
let e = Cn.mk_pattern 1 predicate in
match where with
- | C.ARel (_, _, _, premise) ->
- let script = mk_arg st what in
+ | C.ARel (_, _, i, premise) as v ->
let where = Some (premise, name) in
+(* let _script = convert_elim st ~name:(premise, i) t v e in *)
+ let script = mk_arg st what @ mk_arg st v (* @ script *) in
let st = {st with context = Cn.clear st.context premise} in
st, T.Rewrite (direction, what, where, e, dtext) :: script
| _ -> assert false
-let mk_rewrite st dtext what qs tl direction =
+let mk_rewrite st dtext where qs tl direction t =
assert (List.length tl = 5);
let predicate = List.nth tl 2 in
let e = Cn.mk_pattern 1 predicate in
- [T.Rewrite (direction, what, None, e, dtext); T.Branch (qs, "")]
+ let script = [] (* convert_elim st t t e *) in
+ script @ [T.Rewrite (direction, where, None, e, dtext); T.Branch (qs, "")]
let rec proc_lambda st name v t =
- let dno = DTI.does_not_occur 1 (cic t) in
- let dno = dno && match get_inner_types st v with
- | None -> true
+ let dno = DTI.does_not_occur 1 (H.cic t) in
+ let dno = dno && match get_inner_types st t with
+ | None -> false
| Some (it, et) ->
- DTI.does_not_occur 1 (cic it) && DTI.does_not_occur 1 (cic et)
+ DTI.does_not_occur 1 (H.cic it) && DTI.does_not_occur 1 (H.cic et)
in
- let name = if dno then C.Anonymous else name in
- let entry = Some (name, C.Decl (cic v)) in
+ let name = match dno, name with
+ | true, _ -> C.Anonymous
+ | false, C.Anonymous -> H.mk_fresh_name st.context used_premise
+ | false, name -> name
+ in
+ let entry = Some (name, C.Decl (H.cic v)) in
let intro = get_intro name in
proc_proof (add st entry intro) t
-and proc_letin st what name v t =
+and proc_letin st what name v w t =
let intro = get_intro name in
let proceed, dtext = test_depth st in
let script = if proceed then
| Some (ity, _) ->
let st, rqv = match v with
| C.AAppl (_, hd :: tl) when is_fwd_rewrite_right hd tl ->
- mk_fwd_rewrite st dtext intro tl true
+ mk_fwd_rewrite st dtext intro tl true v
| C.AAppl (_, hd :: tl) when is_fwd_rewrite_left hd tl ->
- mk_fwd_rewrite st dtext intro tl false
+ mk_fwd_rewrite st dtext intro tl false v
| v ->
let qs = [proc_proof (next st) v; [T.Id ""]] in
- st, [T.Branch (qs, ""); T.Cut (intro, ity, dtext)]
+ let ity = H.acic_bc st.context ity in
+ st, [T.Branch (qs, ""); T.Cut (intro, ity, dtext)]
in
- st, C.Decl (cic ity), rqv
+ st, C.Decl (H.cic ity), rqv
| None ->
- st, C.Def (cic v, None), [T.LetIn (intro, v, dtext)]
+ st, C.Def (H.cic v, H.cic w), [T.LetIn (intro, v, dtext)]
in
let entry = Some (name, hyp) in
let qt = proc_proof (next (add st entry intro)) t in
else
[T.Apply (what, dtext)]
in
- mk_intros st script
+ mk_intros st what script
and proc_rel st what =
let _, dtext = test_depth st in
let text = "assumption" in
let script = [T.Apply (what, dtext ^ text)] in
- mk_intros st script
+ mk_intros st what script
and proc_mutconstruct st what =
let _, dtext = test_depth st in
let script = [T.Apply (what, dtext)] in
- mk_intros st script
+ mk_intros st what script
+
+and proc_const st what =
+ let _, dtext = test_depth st in
+ let script = [T.Apply (what, dtext)] in
+ mk_intros st what script
and proc_appl st what hd tl =
let proceed, dtext = test_depth st in
let classes, rc = Cl.classify st.context ty in
let goal_arity = match get_inner_types st what with
| None -> 0
- | Some (ity, _) -> snd (PEH.split_with_whd (st.context, cic ity))
+ | Some (ity, _) -> snd (PEH.split_with_whd (st.context, H.cic ity))
in
let parsno, argsno = List.length classes, List.length tl in
let decurry = parsno - argsno in
let diff = goal_arity - decurry in
- if diff < 0 then failwith (Printf.sprintf "NOT TOTAL: %i %s |--- %s" diff (Pp.ppcontext st.context) (Pp.ppterm (cic hd)));
+ if diff < 0 then failwith (Printf.sprintf "NOT TOTAL: %i %s |--- %s" diff (Pp.ppcontext st.context) (Pp.ppterm (H.cic hd)));
let rec mk_synth a n =
if n < 0 then a else mk_synth (I.S.add n a) (pred n)
in
let synth = mk_synth I.S.empty decurry in
let text = "" (* Printf.sprintf "%u %s" parsno (Cl.to_string h) *) in
- let script = List.rev (mk_arg st hd) @ convert st what in
+ let script = List.rev (mk_arg st hd) in
match rc with
| Some (i, j, uri, tyno) ->
let classes, tl, _, where = split2_last classes tl in
let names = get_ind_names uri tyno in
let qs = proc_bkd_proofs (next st) synth names classes tl in
if is_rewrite_right hd then
- script @ mk_rewrite st dtext where qs tl false
+ script @ mk_rewrite st dtext where qs tl false what
else if is_rewrite_left hd then
- script @ mk_rewrite st dtext where qs tl true
+ script @ mk_rewrite st dtext where qs tl true what
else
let predicate = List.nth tl (parsno - i) in
let e = Cn.mk_pattern j predicate in
let using = Some hd in
- script @
+ (* convert_elim st what what e @ *) script @
[T.Elim (where, using, e, dtext ^ text); T.Branch (qs, "")]
| None ->
let qs = proc_bkd_proofs (next st) synth [] classes tl in
else
[T.Apply (what, dtext)]
in
- mk_intros st script
+ mk_intros st what script
and proc_other st what =
let text = Printf.sprintf "%s: %s" "UNEXPANDED" (string_of_head what) in
let script = [T.Note text] in
- mk_intros st script
+ mk_intros st what script
and proc_proof st t =
let f st =
- let xet = match get_inner_types st t with
- | Some (_, et) -> Some (cic et)
- | None -> None
+ let xtypes, note = match get_inner_types st t with
+ | Some (it, et) -> Some (H.cic it, H.cic et),
+ (Printf.sprintf "\nInferred: %s\nExpected: %s"
+ (Pp.ppterm (H.cic it)) (Pp.ppterm (H.cic et)))
+ | None -> None, "\nNo types"
in
- let context, clears = Cn.get_clears st.context (cic t) xet in
- let note = Pp.ppcontext st.context in
- {st with context = context; clears = clears; clears_note = note}
+ let context, clears = Cn.get_clears st.context (H.cic t) xtypes in
+ let note = Pp.ppcontext st.context ^ note in
+ {st with context = context; clears = clears; clears_note = note; }
in
match t with
- | C.ALambda (_, name, w, t) -> proc_lambda st name w t
- | C.ALetIn (_, name, v, t) as what -> proc_letin (f st) what name v t
- | C.ARel _ as what -> proc_rel (f st) what
- | C.AMutConstruct _ as what -> proc_mutconstruct (f st) what
- | C.AAppl (_, hd :: tl) as what -> proc_appl (f st) what hd tl
- | what -> proc_other (f st) what
+ | C.ALambda (_, name, w, t) -> proc_lambda st name w t
+ | C.ALetIn (_, name, v, w, t) as what -> proc_letin (f st) what name v w t
+ | C.ARel _ as what -> proc_rel (f st) what
+ | C.AMutConstruct _ as what -> proc_mutconstruct (f st) what
+ | C.AConst _ as what -> proc_const (f st) what
+ | C.AAppl (_, hd :: tl) as what -> proc_appl (f st) what hd tl
+ | what -> proc_other (f st) what
and proc_bkd_proofs st synth names classes ts =
try
(* object costruction *******************************************************)
-let is_theorem pars =
+let is_theorem pars =
+ pars = [] ||
List.mem (`Flavour `Theorem) pars || List.mem (`Flavour `Fact) pars ||
List.mem (`Flavour `Remark) pars || List.mem (`Flavour `Lemma) pars
let proc_obj st = function
| C.AConstant (_, _, s, Some v, t, [], pars) when is_theorem pars ->
let ast = proc_proof st v in
- let count = T.count_steps 0 ast in
- let text = Printf.sprintf "tactics: %u" count in
- T.Theorem (Some s, t, "") :: ast @ [T.Qed text]
+ let steps, nodes = T.count_steps 0 ast, T.count_nodes 0 ast in
+ let text = Printf.sprintf "tactics: %u\nnodes: %u" steps nodes in
+ if st.skip_thm_and_qed then ast
+ else T.Theorem (Some s, t, "") :: ast @ [T.Qed text]
| _ ->
failwith "not a theorem"
(* interface functions ******************************************************)
-let acic2procedural ~ids_to_inner_sorts ~ids_to_inner_types ?depth prefix aobj =
+let acic2procedural ~ids_to_inner_sorts ~ids_to_inner_types ?depth
+?(skip_thm_and_qed=false) prefix aobj =
let st = {
sorts = ids_to_inner_sorts;
types = ids_to_inner_types;
intros = [];
clears = [];
clears_note = "";
- case = []
+ case = [];
+ skip_thm_and_qed = skip_thm_and_qed;
} in
HLog.debug "Procedural: level 2 transformation";
let steps = proc_obj st aobj in