module Un = CicUniv
module UM = UriManager
module Obj = LibraryObjects
-module HObj = HelmLibraryObjects
module A = Cic2acic
module Ut = CicUtil
module E = CicEnvironment
module DTI = DoubleTypeInference
module NU = CicNotationUtil
module L = Librarian
+module G = GrafiteAst
module Cl = ProceduralClassify
module T = ProceduralTypes
module H = ProceduralHelpers
type status = {
- sorts : (C.id, A.sort_kind) Hashtbl.t;
- types : (C.id, A.anntypes) Hashtbl.t;
+ sorts : (C.id, A.sort_kind) Hashtbl.t;
+ types : (C.id, A.anntypes) Hashtbl.t;
+ params : G.inline_param list;
max_depth: int option;
- depth: int;
- context: C.context;
- case: int list
+ depth : int;
+ defaults : bool;
+ context : C.context;
+ case : int list
}
let debug = ref false
| Some d -> if st.depth < d then true, msg else false, "DEPTH EXCEDED: "
with Invalid_argument _ -> failwith "A2P.test_depth"
-let is_rewrite_right = function
- | C.AConst (_, uri, []) ->
- UM.eq uri HObj.Logic.eq_ind_r_URI || Obj.is_eq_ind_r_URI uri
+let is_rewrite_right st = function
+ | C.AConst (_, uri, []) -> st.defaults && Obj.is_eq_ind_r_URI uri
| _ -> false
-let is_rewrite_left = function
- | C.AConst (_, uri, []) ->
- UM.eq uri HObj.Logic.eq_ind_URI || Obj.is_eq_ind_URI uri
+let is_rewrite_left st = function
+ | C.AConst (_, uri, []) -> st.defaults && Obj.is_eq_ind_URI uri
| _ -> false
-let is_fwd_rewrite_right hd tl =
- if is_rewrite_right hd then match List.nth tl 3 with
+let is_fwd_rewrite_right st hd tl =
+ if is_rewrite_right st hd then match List.nth tl 3 with
| C.ARel _ -> true
| _ -> false
else false
-let is_fwd_rewrite_left hd tl =
- if is_rewrite_left hd then match List.nth tl 3 with
+let is_fwd_rewrite_left st hd tl =
+ if is_rewrite_left st hd then match List.nth tl 3 with
| C.ARel _ -> true
| _ -> false
else false
| {A.annsynthesized = st; A.annexpected = Some et} -> Some (st, et)
| {A.annsynthesized = st; A.annexpected = None} -> Some (st, st)
with Not_found -> None
-with Invalid_argument _ -> failwith "A2P.get_inner_types"
-
-let is_proof st v =
-try
- let id = Ut.id_of_annterm v in
- try match Hashtbl.find st.sorts id with
- | `Prop -> true
- | _ -> false
- with Not_found -> H.is_proof st.context (H.cic v)
-with Invalid_argument _ -> failwith "P1.is_proof"
+with Invalid_argument _ -> failwith "P2.get_inner_types"
let get_entry st id =
let rec aux = function
let get_type msg st t = H.get_type msg st.context (H.cic t)
+let get_uri_of_head = function
+ | C.AConst (_, u, _)
+ | C.AAppl (_, C.AConst (_, u, _) :: _) -> Some (u, 0, 0)
+ | C.AMutInd (_, u, i, _)
+ | C.AAppl (_, C.AMutInd (_, u, i, _) :: _) -> Some (u, succ i, 0)
+ | C.AMutConstruct (_, u, i, j, _)
+ | C.AAppl (_, C.AMutConstruct (_, u, i, j, _) :: _) -> Some (u, succ i, j)
+ | _ -> None
+
+let get_uri_of_apply = function
+ | T.Exact (t, _)
+ | T.Apply (t, _) -> get_uri_of_head t
+ | _ -> None
+
+let is_reflexivity st step =
+ match get_uri_of_apply step with
+ | None -> false
+ | Some (uri, i, j) -> st.defaults && Obj.is_eq_URI uri && i = 1 && j = 1
+
(* proof construction *******************************************************)
let anonymous_premise = C.Name "UNNAMED"
-let mk_exp_args hd tl classes synth =
+let mk_exp_args hd tl classes synth qs =
+ let exp = ref 0 in
let meta id = C.AImplicit (id, None) in
let map v (cl, b) =
- if I.overlaps synth cl && b then v else meta ""
+ if I.overlaps synth cl
+ then if b then v, v else meta "", v
+ else meta "", meta ""
in
- let rec aux b = function
- | [] -> b, []
+ let rec rev a = function
+ | [] -> a
+ | hd :: tl ->
+ if snd hd <> meta "" then incr exp;
+ rev (snd hd :: a) tl
+ in
+ let rec aux = function
+ | [] -> []
| hd :: tl ->
- if hd = meta "" then aux true tl else b, List.rev (hd :: tl)
+ if fst hd = meta "" then aux tl else rev [] (hd :: tl)
in
let args = T.list_rev_map2 map tl classes in
- let b, args = aux false args in
- if args = [] then b, hd else b, C.AAppl ("", hd :: args)
+ let args = aux args in
+ let part = !exp < List.length tl in
+ if args = [] then part, hd, qs else part, C.AAppl ("", hd :: args), qs
let mk_convert st ?name sty ety note =
+ let ppterm t =
+ let a = ref "" in Ut.pp_term (fun s -> a := !a ^ s) [] st.context t; !a
+ in
let e = Cn.hole "" in
let csty, cety = H.cic sty, H.cic ety in
- let script =
+ let note =
if !debug then
let sname = match name with None -> "" | Some (id, _) -> id in
- let note = Printf.sprintf "%s: %s\nSINTH: %s\nEXP: %s"
- note sname (Pp.ppterm csty) (Pp.ppterm cety)
- in
- [T.Note note]
- else []
+ Printf.sprintf "%s: %s\nSINTH: %s\nEXP: %s"
+ note sname (ppterm csty) (ppterm cety)
+ else ""
in
- assert (Ut.is_sober st.context csty);
- assert (Ut.is_sober st.context cety);
- if Ut.alpha_equivalence csty cety then script else
+ if H.alpha_equivalence ~flatten:true st.context 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, "") :: script
+ | 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, "") :: script *)
+ | C.Def _ ->
+ [T.Change (ety, sty, Some (id, Some id), e, note);
+ T.ClearBody (id, "")
+ ]
| C.Decl _ ->
- T.Change (ety, sty, Some (id, Some id), e, "") :: script
+ [T.Change (ety, sty, Some (id, Some id), e, note)]
end
let convert st ?name v =
| C.Name s -> Some s
let mk_preamble st what script = match script with
+ | step :: script when is_reflexivity st step ->
+ convert st what @ T.Reflexivity (T.note_of_step step) :: script
| T.Exact _ :: _ -> script
| _ -> convert st what @ script
| C.ARel (_, _, i, name) as what -> convert st ~name:(name, i) what
| _ -> []
-let mk_fwd_rewrite st dtext name tl direction v t ity =
+let mk_fwd_rewrite st dtext name tl direction v t ity ety =
let compare premise = function
| None -> true
| Some s -> s = premise
in
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
+ let e = Cn.mk_pattern 1 ety predicate in
if (Cn.does_not_occur e) then st, [] else
match where with
| C.ARel (_, _, i, premise) as w ->
end
| _ -> assert false
-let mk_rewrite st dtext where qs tl direction t =
+let mk_rewrite st dtext where qs tl direction t ety =
assert (List.length tl = 5);
let predicate = List.nth tl 2 in
- let e = Cn.mk_pattern 1 predicate in
+ let e = Cn.mk_pattern 1 ety predicate in
let script = [T.Branch (qs, "")] in
if (Cn.does_not_occur e) then script else
T.Rewrite (direction, where, None, e, dtext) :: script
let intro = get_intro name in
let proceed, dtext = test_depth st in
let script = if proceed then
- let st, hyp, rqv = match get_inner_types st v with
- | Some (ity, _) ->
+ let st, hyp, rqv = match get_inner_types st what, get_inner_types st v with
+ | Some (C.ALetIn (_, _, iv, iw, _), _), _ when
+ H.alpha_equivalence ~flatten:true st.context (H.cic v) (H.cic iv) &&
+ H.alpha_equivalence ~flatten:true st.context (H.cic w) (H.cic iw)
+ ->
+ st, C.Def (H.cic v, H.cic w), [T.Intros (Some 1, [intro], dtext)]
+ | _, Some (ity, ety) ->
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 v t ity
- | C.AAppl (_, hd :: tl) when is_fwd_rewrite_left hd tl ->
- mk_fwd_rewrite st dtext intro tl false v t ity
- | v ->
- assert (Ut.is_sober st.context (H.cic ity));
- let ity = H.acic_bc st.context ity in
+ | C.AAppl (_, hd :: tl) when is_fwd_rewrite_right st hd tl ->
+ mk_fwd_rewrite st dtext intro tl true v t ity ety
+ | C.AAppl (_, hd :: tl) when is_fwd_rewrite_left st hd tl ->
+ mk_fwd_rewrite st dtext intro tl false v t ity ety
+ | v ->
+ assert (Ut.is_sober st.context (H.cic ety));
+ let ety = H.acic_bc st.context ety in
let qs = [proc_proof (next st) v; [T.Id ""]] in
- st, [T.Branch (qs, ""); T.Cut (intro, ity, dtext)]
+ st, [T.Branch (qs, ""); T.Cut (intro, ety, dtext)]
in
st, C.Decl (H.cic ity), rqv
- | None ->
+ | _, None ->
st, C.Def (H.cic v, H.cic w), [T.LetIn (intro, v, dtext)]
in
let entry = Some (name, hyp) 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 (H.cic hd)));
+ if diff < 0 then
+ let text = Printf.sprintf "partial application: %i" diff in
+ prerr_endline ("Procedural 2: " ^ text);
+ [T.Exact (what, dtext ^ text)]
+ else
let classes = Cl.adjust st.context tl ?goal classes in
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 text = if !debug
+ then Printf.sprintf "%u %s" parsno (Cl.to_string synth (classes, rc))
+ else ""
+ in
let script = List.rev (mk_arg st hd) in
let tactic b t n = if b then T.Apply (t, n) else T.Exact (t, n) in
match rc with
- | Some (i, j, uri, tyno) ->
+ | Some (i, j, uri, tyno) when decurry = 0 ->
let classes2, tl2, _, where = split2_last classes tl in
let script2 = List.rev (mk_arg st where) @ script in
let synth2 = I.S.add 1 synth in
let names = H.get_ind_names uri tyno in
let qs = proc_bkd_proofs (next st) synth2 names classes2 tl2 in
- if List.length qs <> List.length names then
+ let ety = match get_inner_types st what with
+ | Some (_, ety) -> ety
+ | None ->
+ Cn.fake_annotate "" st.context (get_type "TC3" st what)
+ in
+ if List.length qs <> List.length names then
let qs = proc_bkd_proofs (next st) synth [] classes tl in
- let b, hd = mk_exp_args hd tl classes synth in
+ let b, hd, qs = mk_exp_args hd tl classes synth qs in
script @ [tactic b hd (dtext ^ text); T.Branch (qs, "")]
- else if is_rewrite_right hd then
- script2 @ mk_rewrite st dtext where qs tl2 false what
- else if is_rewrite_left hd then
- script2 @ mk_rewrite st dtext where qs tl2 true what
+ else if is_rewrite_right st hd then
+ script2 @ mk_rewrite st dtext where qs tl2 false what ety
+ else if is_rewrite_left st hd then
+ script2 @ mk_rewrite st dtext where qs tl2 true what ety
else
let predicate = List.nth tl2 (parsno - i) in
- let e = Cn.mk_pattern j predicate in
+ let e = Cn.mk_pattern j ety predicate in
let using = Some hd in
script2 @
[T.Elim (where, using, e, dtext ^ text); T.Branch (qs, "")]
- | None ->
+ | _ ->
let names = get_sub_names hd tl in
let qs = proc_bkd_proofs (next st) synth names classes tl in
- let b, hd = mk_exp_args hd tl classes synth in
+ let b, hd, qs = mk_exp_args hd tl classes synth qs in
script @ [tactic b hd (dtext ^ text); T.Branch (qs, "")]
else
[T.Exact (what, dtext)]
let ps, _ = H.get_ind_parameters st.context (H.cic v) in
let _, rps = HEL.split_nth lpsno ps in
let rpsno = List.length rps in
- let e = Cn.mk_pattern rpsno u in
+ let ety = match get_inner_types st what with
+ | Some (_, ety) -> ety
+ | None ->
+ Cn.fake_annotate "" st.context (get_type "TC4" st what)
+ in
+ let e = Cn.mk_pattern rpsno ety u in
let text = "" in
let script = List.rev (mk_arg st v) in
script @ [T.Cases (v, e, dtext ^ text); T.Branch (qs, "")]
with Invalid_argument s -> failwith ("A2P.proc_bkd_proofs: " ^ s)
-(* object costruction *******************************************************)
-
-let th_flavours = [`Theorem; `Lemma; `Remark; `Fact]
+(* initialization ***********************************************************)
-let def_flavours = [`Definition]
-
-let get_flavour ?flavour st v attrs =
- let rec aux = function
- | [] ->
- if is_proof st v then List.hd th_flavours else List.hd def_flavours
- | `Flavour fl :: _ -> fl
- | _ :: tl -> aux tl
+let init ~ids_to_inner_sorts ~ids_to_inner_types params context =
+ let depth_map x y = match x, y with
+ | None, G.IPDepth depth -> Some depth
+ | _ -> x
in
- match flavour with
- | Some fl -> fl
- | None -> aux attrs
-
-let proc_obj ?flavour ?(info="") st = function
- | C.AConstant (_, _, s, Some v, t, [], attrs) ->
- begin match get_flavour ?flavour st v attrs with
- | flavour when List.mem flavour th_flavours ->
- let ast = proc_proof st v in
- let steps, nodes = T.count_steps 0 ast, T.count_nodes 0 ast in
- let text = Printf.sprintf "%s\n%s%s: %u\n%s: %u\n%s"
- "COMMENTS" info "Tactics" steps "Final nodes" nodes "END"
- in
- T.Statement (flavour, Some s, t, None, "") :: ast @ [T.Qed text]
- | flavour when List.mem flavour def_flavours ->
- [T.Statement (flavour, Some s, t, Some v, "")]
- | _ ->
- failwith "not a theorem, definition, axiom or inductive type"
- end
- | C.AConstant (_, _, s, None, t, [], attrs) ->
- [T.Statement (`Axiom, Some s, t, None, "")]
- | C.AInductiveDefinition (_, types, [], lpsno, attrs) ->
- [T.Inductive (types, lpsno, "")]
- | _ ->
- failwith "not a theorem, definition, axiom or inductive type"
-
-let init ~ids_to_inner_sorts ~ids_to_inner_types ?depth context =
{
sorts = ids_to_inner_sorts;
types = ids_to_inner_types;
- max_depth = depth;
+ params = params;
+ max_depth = List.fold_left depth_map None params;
depth = 0;
+ defaults = not (List.mem G.IPNoDefaults params);
context = context;
case = []
}
projects / helm.git / blobdiff