typing.ml 30.9 KB
Newer Older
1 2
(**************************************************************************)
(*                                                                        *)
Jean-Christophe Filliâtre's avatar
headers  
Jean-Christophe Filliâtre committed
3 4 5 6 7
(*  Copyright (C) 2010-                                                   *)
(*    Francois Bobot                                                      *)
(*    Jean-Christophe Filliatre                                           *)
(*    Johannes Kanig                                                      *)
(*    Andrei Paskevich                                                    *)
8 9 10 11 12 13 14 15 16 17 18
(*                                                                        *)
(*  This software is free software; you can redistribute it and/or        *)
(*  modify it under the terms of the GNU Library General Public           *)
(*  License version 2.1, with the special exception on linking            *)
(*  described in file LICENSE.                                            *)
(*                                                                        *)
(*  This software is distributed in the hope that it will be useful,      *)
(*  but WITHOUT ANY WARRANTY; without even the implied warranty of        *)
(*  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                  *)
(*                                                                        *)
(**************************************************************************)
19

20 21
open Util
open Format
22
open Pp
Andrei Paskevich's avatar
Andrei Paskevich committed
23
open Ptree
24
open Ident
25
open Ty
26
open Term
Andrei Paskevich's avatar
Andrei Paskevich committed
27
open Decl
28
open Theory
Andrei Paskevich's avatar
Andrei Paskevich committed
29
open Env
30
open Denv
Andrei Paskevich's avatar
Andrei Paskevich committed
31

32 33
(** errors *)

34 35 36 37 38 39 40 41 42 43 44 45 46
exception Message of string
exception DuplicateTypeVar of string
exception TypeArity of qualid * int * int
exception Clash of string
exception PredicateExpected
exception TermExpected
exception BadNumberOfArguments of Ident.ident * int * int
exception ClashTheory of string
exception UnboundTheory of qualid
exception CyclicTypeDef
exception UnboundTypeVar of string
exception UnboundType of string list
exception UnboundSymbol of string list
47 48

let error ?loc e = match loc with
49 50
  | None -> raise e
  | Some loc -> raise (Loc.Located (loc,e))
51

Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
52 53 54
let errorm ?loc f =
  let buf = Buffer.create 512 in
  let fmt = Format.formatter_of_buffer buf in
55 56
  Format.kfprintf
    (fun _ ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
57 58 59
       Format.pp_print_flush fmt ();
       let s = Buffer.contents buf in
       Buffer.clear buf;
60
       error ?loc (Message s))
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
61 62
    fmt f

63
let rec print_qualid fmt = function
64
  | Qident s -> fprintf fmt "%s" s.id
65
  | Qdot (m, s) -> fprintf fmt "%a.%s" print_qualid m s.id
66

67
let () = Exn_printer.register (fun fmt e -> match e with
68 69
  | Message s ->
      fprintf fmt "%s" s
70
  | DuplicateTypeVar s ->
71
      fprintf fmt "duplicate type parameter %s" s
72
  | TypeArity (id, a, n) ->
73
      fprintf fmt "@[The type %a expects %d argument(s),@ " print_qualid id a;
74 75
      fprintf fmt "but is applied to %d argument(s)@]" n
  | Clash id ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
76
      fprintf fmt "Clash with previous symbol %s" id
77 78 79 80
  | PredicateExpected ->
      fprintf fmt "syntax error: predicate expected"
  | TermExpected ->
      fprintf fmt "syntax error: term expected"
81
  | BadNumberOfArguments (s, n, m) ->
82
      fprintf fmt "@[Symbol `%s' is applied to %d terms,@ " s.id_string n;
83
      fprintf fmt "but is expecting %d arguments@]" m
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
84 85
  | ClashTheory s ->
      fprintf fmt "clash with previous theory %s" s
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
86 87
  | UnboundTheory q ->
      fprintf fmt "unbound theory %a" print_qualid q
88 89 90 91
  | CyclicTypeDef ->
      fprintf fmt "cyclic type definition"
  | UnboundTypeVar s ->
      fprintf fmt "unbound type variable '%s" s
92 93 94 95
  | UnboundType sl ->
       fprintf fmt "Unbound type '%a'" (print_list dot pp_print_string) sl
  | UnboundSymbol sl ->
       fprintf fmt "Unbound symbol '%a'" (print_list dot pp_print_string) sl
96
  | _ -> raise e)
97

98 99 100
let debug_parse_only = Debug.register_flag "parse_only"
let debug_type_only  = Debug.register_flag "type_only"

101 102
(** Environments *)

103
(** typing using destructive type variables
104

105 106 107 108 109 110
    parsed trees        intermediate trees       typed trees
      (Ptree)               (D below)               (Term)
   -----------------------------------------------------------
     ppure_type  ---dty--->   dty       ---ty--->    ty
      lexpr      --dterm-->   dterm     --term-->    term
      lexpr      --dfmla-->   dfmla     --fmla-->    fmla
111

112 113
*)

Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
114 115 116 117 118
let term_expected_type ~loc ty1 ty2 =
  errorm ~loc
    "@[This term has type %a@ but is expected to have type@ %a@]"
    print_dty ty1 print_dty ty2

119 120 121 122
(** Destructive typing environment, that is
    environment + local variables.
    It is only local to this module and created with [create_denv] below. *)

123
type denv = {
124 125 126 127 128
  uc : theory_uc; (* the theory under construction *)
  utyvars : (string, type_var) Hashtbl.t; (* user type variables *)
  dvars : dty Mstr.t; (* local variables, to be bound later *)
}

129 130 131
let create_denv uc = {
  uc = uc;
  utyvars = Hashtbl.create 17;
132 133 134 135 136 137 138 139 140 141 142 143
  dvars = Mstr.empty;
}

let find_user_type_var x env =
  try
    Hashtbl.find env.utyvars x
  with Not_found ->
    (* TODO: shouldn't we localize this ident? *)
    let v = create_tvsymbol (id_fresh x) in
    let v = create_ty_decl_var ~user:true v in
    Hashtbl.add env.utyvars x v;
    v
144

145 146 147 148
let mem_var x denv = Mstr.mem x denv.dvars
let find_var x denv = Mstr.find x denv.dvars
let add_var x ty denv = { denv with dvars = Mstr.add x ty denv.dvars }

149 150 151 152 153 154 155 156 157 158 159 160
(* parsed types -> intermediate types *)

let rec qloc = function
  | Qident x -> x.id_loc
  | Qdot (m, x) -> Loc.join (qloc m) x.id_loc

let rec string_list_of_qualid acc = function
  | Qident id -> id.id :: acc
  | Qdot (p, id) -> string_list_of_qualid (id.id :: acc) p

let specialize_tysymbol loc p uc =
  let sl = string_list_of_qualid [] p in
161
  let ts =
162 163 164
    try ns_find_ts (get_namespace uc) sl
    with Not_found -> error ~loc (UnboundType sl)
  in
165 166 167 168 169 170 171 172 173 174
  ts, List.length ts.ts_args

(* lazy declaration of tuples *)

let tuples_needed = Hashtbl.create 17

let ts_tuple n = Hashtbl.replace tuples_needed n (); ts_tuple n
let fs_tuple n = Hashtbl.replace tuples_needed n (); fs_tuple n

let add_tuple_decls uc =
175
  Hashtbl.fold (fun n _ uc -> Theory.use_export uc (tuple_theory n))
176 177 178 179 180 181 182 183
    tuples_needed uc

let with_tuples ?(reset=false) f uc x =
  let uc = f (add_tuple_decls uc) x in
  if reset then Hashtbl.clear tuples_needed;
  uc

let add_ty_decl  = with_tuples add_ty_decl
184
let add_ty_decls = with_tuples ~reset:true add_ty_decl
185 186

let add_logic_decl  = with_tuples add_logic_decl
187
let add_logic_decls = with_tuples ~reset:true add_logic_decl
188 189

let add_ind_decl  = with_tuples add_ind_decl
190
let add_ind_decls = with_tuples ~reset:true add_ind_decl
191

192 193
let add_prop_decl = with_tuples ~reset:true add_prop_decl

194 195 196 197 198
let rec type_inst s ty = match ty.ty_node with
  | Ty.Tyvar n -> Mtv.find n s
  | Ty.Tyapp (ts, tyl) -> Tyapp (ts, List.map (type_inst s) tyl)

let rec dty env = function
199
  | PPTtyvar {id=x} ->
200 201 202
      Tyvar (find_user_type_var x env)
  | PPTtyapp (p, x) ->
      let loc = qloc x in
203
      let ts, a = specialize_tysymbol loc x env.uc in
204 205 206
      let np = List.length p in
      if np <> a then error ~loc (TypeArity (x, a, np));
      let tyl = List.map (dty env) p in
207
      begin match ts.ts_def with
208
	| None ->
209
	    Tyapp (ts, tyl)
210
	| Some ty ->
211 212 213
	    let add m v t = Mtv.add v t m in
            let s = List.fold_left2 add Mtv.empty ts.ts_args tyl in
	    type_inst s ty
214 215 216 217
      end
  | PPTtuple tyl ->
      let ts = ts_tuple (List.length tyl) in
      Tyapp (ts, List.map (dty env) tyl)
218 219 220 221

let find_ns find p ns =
  let loc = qloc p in
  let sl = string_list_of_qualid [] p in
222
  try find ns sl
223 224
  with Not_found -> error ~loc (UnboundSymbol sl)

225
let find_prop_ns = find_ns ns_find_pr
226 227 228 229 230 231 232 233 234 235
let find_prop p uc = find_prop_ns p (get_namespace uc)

let find_tysymbol_ns = find_ns ns_find_ts
let find_tysymbol q uc = find_tysymbol_ns q (get_namespace uc)

let find_lsymbol_ns = find_ns ns_find_ls
let find_lsymbol q uc = find_lsymbol_ns q (get_namespace uc)

let specialize_lsymbol p uc =
  let s = find_lsymbol p uc in
236
  s, specialize_lsymbol ~loc:(qloc p) s
237

238
let specialize_fsymbol p uc =
239
  let s, (tl, ty) = specialize_lsymbol p uc in
240
  match ty with
241
    | None -> let loc = qloc p in error ~loc TermExpected
242
    | Some ty -> s, tl, ty
243

244
let specialize_psymbol p uc =
245
  let s, (tl, ty) = specialize_lsymbol p uc in
246 247
  match ty with
    | None -> s, tl
248 249
    | Some _ -> let loc = qloc p in error ~loc PredicateExpected

250
let is_psymbol p uc =
251 252
  let s = find_lsymbol p uc in
  s.ls_value = None
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
253

254

255 256
(** Typing types *)

Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
257 258 259 260
let split_qualid = function
  | Qident id -> [], id.id
  | Qdot (p, id) -> string_list_of_qualid [] p, id.id

261
(** Typing terms and formulas *)
262 263 264 265 266 267 268

let binop = function
  | PPand -> Fand
  | PPor -> For
  | PPimplies -> Fimplies
  | PPiff -> Fiff

Andrei Paskevich's avatar
Andrei Paskevich committed
269
let check_pat_linearity p =
Andrei Paskevich's avatar
Andrei Paskevich committed
270
  let s = ref Sstr.empty in
271
  let add id =
272
    if Sstr.mem id.id !s then
273
      errorm ~loc:id.id_loc "duplicate variable %s" id.id;
Andrei Paskevich's avatar
Andrei Paskevich committed
274
    s := Sstr.add id.id !s
275 276 277 278
  in
  let rec check p = match p.pat_desc with
    | PPpwild -> ()
    | PPpvar id -> add id
279
    | PPpapp (_, pl) | PPptuple pl -> List.iter check pl
280
    | PPpas (p, id) -> check p; add id
Andrei Paskevich's avatar
Andrei Paskevich committed
281
    | PPpor (p, _) -> check p
282
  in
Andrei Paskevich's avatar
Andrei Paskevich committed
283
  check p
284

285 286 287 288
let fresh_type_var loc =
  let tv = create_tvsymbol (id_user "a" loc) in
  Tyvar (create_ty_decl_var ~loc ~user:false tv)

Andrei Paskevich's avatar
Andrei Paskevich committed
289 290 291 292 293
let rec dpat env pat =
  let env, n, ty = dpat_node pat.pat_loc env pat.pat_desc in
  env, { dp_node = n; dp_ty = ty }

and dpat_node loc env = function
294
  | PPpwild ->
295
      let ty = fresh_type_var loc in
Andrei Paskevich's avatar
Andrei Paskevich committed
296
      env, Pwild, ty
Andrei Paskevich's avatar
Andrei Paskevich committed
297
  | PPpvar x ->
298
      let ty = fresh_type_var loc in
Andrei Paskevich's avatar
Andrei Paskevich committed
299
      let env = { env with dvars = Mstr.add x.id ty env.dvars } in
Andrei Paskevich's avatar
Andrei Paskevich committed
300 301
      env, Pvar x, ty
  | PPpapp (x, pl) ->
302
      let s, tyl, ty = specialize_fsymbol x env.uc in
Andrei Paskevich's avatar
Andrei Paskevich committed
303 304
      let env, pl = dpat_args s.ls_name loc env tyl pl in
      env, Papp (s, pl), ty
305 306 307 308 309 310 311
  | PPptuple pl ->
      let n = List.length pl in
      let s = fs_tuple n in
      let tyl = List.map (fun _ -> fresh_type_var loc) pl in
      let env, pl = dpat_args s.ls_name loc env tyl pl in
      let ty = Tyapp (ts_tuple n, tyl) in
      env, Papp (s, pl), ty
Andrei Paskevich's avatar
Andrei Paskevich committed
312
  | PPpas (p, x) ->
Andrei Paskevich's avatar
Andrei Paskevich committed
313
      let env, p = dpat env p in
Andrei Paskevich's avatar
Andrei Paskevich committed
314
      let env = { env with dvars = Mstr.add x.id p.dp_ty env.dvars } in
Andrei Paskevich's avatar
Andrei Paskevich committed
315
      env, Pas (p,x), p.dp_ty
Andrei Paskevich's avatar
Andrei Paskevich committed
316 317 318 319 320 321
  | PPpor (p, q) ->
      let env, p = dpat env p in
      let env, q = dpat env q in
      if not (unify p.dp_ty q.dp_ty)
        then term_expected_type ~loc p.dp_ty q.dp_ty;
      env, Por (p,q), p.dp_ty
Andrei Paskevich's avatar
Andrei Paskevich committed
322

323
and dpat_args s loc env el pl =
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
324
  let n = List.length el and m = List.length pl in
Andrei Paskevich's avatar
Andrei Paskevich committed
325
  if n <> m then error ~loc (BadNumberOfArguments (s, m, n));
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
326
  let rec check_arg env = function
327
    | [], [] ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
328 329 330 331 332 333 334
	env, []
    | a :: al, p :: pl ->
	let loc = p.pat_loc in
	let env, p = dpat env p in
	if not (unify a p.dp_ty) then term_expected_type ~loc p.dp_ty a;
	let env, pl = check_arg env (al, pl) in
	env, p :: pl
Andrei Paskevich's avatar
Andrei Paskevich committed
335 336 337
    | _ ->
	assert false
  in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
338
  check_arg env (el, pl)
Andrei Paskevich's avatar
Andrei Paskevich committed
339

Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
340
let rec trigger_not_a_term_exn = function
341
  | TermExpected -> true
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
342 343 344
  | Loc.Located (_, exn) -> trigger_not_a_term_exn exn
  | _ -> false

345
let check_quant_linearity uqu =
Andrei Paskevich's avatar
Andrei Paskevich committed
346
  let s = ref Sstr.empty in
347
  let check id =
Andrei Paskevich's avatar
Andrei Paskevich committed
348 349
    if Sstr.mem id.id !s then errorm ~loc:id.id_loc "duplicate variable %s" id.id;
    s := Sstr.add id.id !s
350
  in
351
  List.iter (fun (idl, _) -> Util.option_iter check idl) uqu
352

353
let rec dterm env t =
354 355 356 357
  let n, ty = dterm_node t.pp_loc env t.pp_desc in
  { dt_node = n; dt_ty = ty }

and dterm_node loc env = function
Andrei Paskevich's avatar
Andrei Paskevich committed
358
  | PPvar (Qident {id=x}) when Mstr.mem x env.dvars ->
359
      (* local variable *)
Andrei Paskevich's avatar
Andrei Paskevich committed
360
      let ty = Mstr.find x env.dvars in
361
      Tvar x, ty
362
  | PPvar x ->
363
      (* 0-arity symbol (constant) *)
364
      let s, tyl, ty = specialize_fsymbol x env.uc in
365
      let n = List.length tyl in
366
      if n > 0 then error ~loc (BadNumberOfArguments (s.ls_name, 0, n));
367
      Tapp (s, []), ty
368
  | PPapp (x, tl) ->
369
      let s, tyl, ty = specialize_fsymbol x env.uc in
370
      let tl = dtype_args s.ls_name loc env tyl tl in
371
      Tapp (s, tl), ty
372 373 374 375 376 377 378
  | PPtuple tl ->
      let n = List.length tl in
      let s = fs_tuple n in
      let tyl = List.map (fun _ -> fresh_type_var loc) tl in
      let tl = dtype_args s.ls_name loc env tyl tl in
      let ty = Tyapp (ts_tuple n, tyl) in
      Tapp (s, tl), ty
379 380 381 382
  | PPinfix (e1, x, e2) ->
      let s, tyl, ty = specialize_fsymbol (Qident x) env.uc in
      let tl = dtype_args s.ls_name loc env tyl [e1; e2] in
      Tapp (s, tl), ty
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
383
  | PPconst (ConstInt _ as c) ->
384
      Tconst c, Tyapp (Ty.ts_int, [])
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
385
  | PPconst (ConstReal _ as c) ->
386
      Tconst c, Tyapp (Ty.ts_real, [])
Andrei Paskevich's avatar
Andrei Paskevich committed
387
  | PPlet (x, e1, e2) ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
388 389
      let e1 = dterm env e1 in
      let ty = e1.dt_ty in
Andrei Paskevich's avatar
Andrei Paskevich committed
390
      let env = { env with dvars = Mstr.add x.id ty env.dvars } in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
391 392
      let e2 = dterm env e2 in
      Tlet (e1, x, e2), e2.dt_ty
Andrei Paskevich's avatar
Andrei Paskevich committed
393 394 395
  | PPmatch (e1, bl) ->
      let t1 = dterm env e1 in
      let ty1 = t1.dt_ty in
396
      let tb = fresh_type_var loc in (* the type of all branches *)
Andrei Paskevich's avatar
Andrei Paskevich committed
397 398
      let branch (p, e) =
        let env, p = dpat_list env ty1 p in
399
        let loc = e.pp_loc in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
400 401
	let e = dterm env e in
	if not (unify e.dt_ty tb) then term_expected_type ~loc e.dt_ty tb;
Andrei Paskevich's avatar
Andrei Paskevich committed
402
        p, e
Andrei Paskevich's avatar
Andrei Paskevich committed
403 404 405
      in
      let bl = List.map branch bl in
      let ty = (snd (List.hd bl)).dt_ty in
Andrei Paskevich's avatar
Andrei Paskevich committed
406
      Tmatch (t1, bl), ty
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
407 408 409
  | PPnamed (x, e1) ->
      let e1 = dterm env e1 in
      Tnamed (x, e1), e1.dt_ty
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
410 411 412 413 414 415
  | PPcast (e1, ty) ->
      let loc = e1.pp_loc in
      let e1 = dterm env e1 in
      let ty = dty env ty in
      if not (unify e1.dt_ty ty) then term_expected_type ~loc e1.dt_ty ty;
      e1.dt_node, ty
416 417 418 419 420 421 422
  | PPif (e1, e2, e3) ->
      let loc = e3.pp_loc in
      let e2 = dterm env e2 in
      let e3 = dterm env e3 in
      if not (unify e2.dt_ty e3.dt_ty) then
        term_expected_type ~loc e3.dt_ty e2.dt_ty;
      Tif (dfmla env e1, e2, e3), e2.dt_ty
Andrei Paskevich's avatar
Andrei Paskevich committed
423
  | PPeps (x, ty, e1) ->
Andrei Paskevich's avatar
Andrei Paskevich committed
424
      let ty = dty env ty in
Andrei Paskevich's avatar
Andrei Paskevich committed
425
      let env = { env with dvars = Mstr.add x.id ty env.dvars } in
Andrei Paskevich's avatar
Andrei Paskevich committed
426 427
      let e1 = dfmla env e1 in
      Teps (x, ty, e1), ty
Andrei Paskevich's avatar
Andrei Paskevich committed
428
  | PPquant (PPlambda, uqu, trl, a) ->
Andrei Paskevich's avatar
Andrei Paskevich committed
429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445
      check_quant_linearity uqu;
      let uquant env (idl,ty) =
        let ty = dty env ty in
        let id = match idl with
          | Some id -> id
          | None -> assert false
        in
        { env with dvars = Mstr.add id.id ty env.dvars }, (id,ty)
      in
      let env, uqu = map_fold_left uquant env uqu in
      let trigger e =
	try
	  TRterm (dterm env e)
	with exn when trigger_not_a_term_exn exn ->
	  TRfmla (dfmla env e)
      in
      let trl = List.map (List.map trigger) trl in
Andrei Paskevich's avatar
Andrei Paskevich committed
446 447
      let id, ty, f = match trigger a with
        | TRterm t ->
Andrei Paskevich's avatar
Andrei Paskevich committed
448 449 450 451 452 453 454 455 456 457 458 459
            let id = { id = "fc" ; id_loc = loc } in
            let tyl,ty = List.fold_right (fun (_,uty) (tyl,ty) ->
              let nty = Tyapp (ts_func, [uty;ty]) in ty :: tyl, nty)
              uqu ([],t.dt_ty)
            in
            let h = { dt_node = Tvar id.id ; dt_ty = ty } in
            let h = List.fold_left2 (fun h (uid,uty) ty ->
              let u = { dt_node = Tvar uid.id ; dt_ty = uty } in
              { dt_node = Tapp (fs_func_app, [h;u]) ; dt_ty = ty })
              h uqu tyl
            in
            id, ty, Fapp (ps_equ, [h;t])
Andrei Paskevich's avatar
Andrei Paskevich committed
460
        | TRfmla f ->
Andrei Paskevich's avatar
Andrei Paskevich committed
461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479
            let id = { id = "pc" ; id_loc = loc } in
            let (uid,uty),uqu = match List.rev uqu with
              | uq :: uqu -> uq, List.rev uqu
              | [] -> assert false
            in
            let tyl,ty = List.fold_right (fun (_,uty) (tyl,ty) ->
              let nty = Tyapp (ts_func, [uty;ty]) in ty :: tyl, nty)
              uqu ([],Tyapp (ts_pred, [uty]))
            in
            let h = { dt_node = Tvar id.id ; dt_ty = ty } in
            let h = List.fold_left2 (fun h (uid,uty) ty ->
              let u = { dt_node = Tvar uid.id ; dt_ty = uty } in
              { dt_node = Tapp (fs_func_app, [h;u]) ; dt_ty = ty })
              h uqu tyl
            in
            let u = { dt_node = Tvar uid.id ; dt_ty = uty } in
            id, ty, Fbinop (Fiff, Fapp (ps_pred_app, [h;u]), f)
      in
      Teps (id, ty, Fquant (Fforall, uqu, trl, f)), ty
Andrei Paskevich's avatar
Andrei Paskevich committed
480
  | PPquant _ | PPbinop _ | PPunop _ | PPfalse | PPtrue ->
481
      error ~loc TermExpected
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
482

483 484 485 486 487
and dfmla env e = match e.pp_desc with
  | PPtrue ->
      Ftrue
  | PPfalse ->
      Ffalse
488
  | PPunop (PPnot, a) ->
489
      Fnot (dfmla env a)
490
  | PPbinop (a, (PPand | PPor | PPimplies | PPiff as op), b) ->
491 492
      Fbinop (binop op, dfmla env a, dfmla env b)
  | PPif (a, b, c) ->
493
      Fif (dfmla env a, dfmla env b, dfmla env c)
494
  | PPquant (q, uqu, trl, a) ->
495
      check_quant_linearity uqu;
496 497
      let uquant env (idl,ty) =
        let ty = dty env ty in
498
        let id = match idl with
Andrei Paskevich's avatar
Andrei Paskevich committed
499
          | Some id -> id
500
          | None -> assert false
501
        in
Andrei Paskevich's avatar
Andrei Paskevich committed
502
        { env with dvars = Mstr.add id.id ty env.dvars }, (id,ty)
503
      in
504
      let env, uqu = map_fold_left uquant env uqu in
505
      let trigger e =
506 507
	try
	  TRterm (dterm env e)
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
508
	with exn when trigger_not_a_term_exn exn ->
509
	  TRfmla (dfmla env e)
510 511
      in
      let trl = List.map (List.map trigger) trl in
512 513
      let q = match q with
        | PPforall -> Fforall
514
        | PPexists -> Fexists
Andrei Paskevich's avatar
Andrei Paskevich committed
515
        | _ -> error ~loc:e.pp_loc PredicateExpected
516 517
      in
      Fquant (q, uqu, trl, dfmla env a)
518
  | PPapp (x, tl) ->
519
      let s, tyl = specialize_psymbol x env.uc in
520
      let tl = dtype_args s.ls_name e.pp_loc env tyl tl in
521
      Fapp (s, tl)
522 523 524 525 526 527 528 529 530 531
  | PPinfix (e12, op2, e3) ->
      begin match e12.pp_desc with
	| PPinfix (_, op1, e2) when is_psymbol (Qident op1) env.uc ->
	    let e23 = { e with pp_desc = PPinfix (e2, op2, e3) } in
	    Fbinop (Fand, dfmla env e12, dfmla env e23)
	| _ ->
	    let s, tyl = specialize_psymbol (Qident op2) env.uc in
	    let tl = dtype_args s.ls_name e.pp_loc env tyl [e12; e3] in
	    Fapp (s, tl)
      end
Andrei Paskevich's avatar
Andrei Paskevich committed
532
  | PPlet (x, e1, e2) ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
533 534
      let e1 = dterm env e1 in
      let ty = e1.dt_ty in
Andrei Paskevich's avatar
Andrei Paskevich committed
535
      let env = { env with dvars = Mstr.add x.id ty env.dvars } in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
536 537
      let e2 = dfmla env e2 in
      Flet (e1, x, e2)
Andrei Paskevich's avatar
Andrei Paskevich committed
538 539 540 541 542
  | PPmatch (e1, bl) ->
      let t1 = dterm env e1 in
      let ty1 = t1.dt_ty in
      let branch (p, e) =
        let env, p = dpat_list env ty1 p in p, dfmla env e
Andrei Paskevich's avatar
Andrei Paskevich committed
543
      in
Andrei Paskevich's avatar
Andrei Paskevich committed
544
      Fmatch (t1, List.map branch bl)
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
545 546 547
  | PPnamed (x, f1) ->
      let f1 = dfmla env f1 in
      Fnamed (x, f1)
548
  | PPvar x ->
549 550
      let pr = find_prop x env.uc in
      Fvar (Decl.find_prop (Theory.get_known env.uc) pr)
551
  | PPeps _ | PPconst _ | PPcast _ | PPtuple _ ->
552
      error ~loc:e.pp_loc PredicateExpected
553

Andrei Paskevich's avatar
Andrei Paskevich committed
554 555 556 557 558 559 560
and dpat_list env ty p =
  check_pat_linearity p;
  let loc = p.pat_loc in
  let env, p = dpat env p in
  if not (unify p.dp_ty ty)
    then term_expected_type ~loc p.dp_ty ty;
  env, p
561

562 563 564 565
and dtype_args s loc env el tl =
  let n = List.length el and m = List.length tl in
  if n <> m then error ~loc (BadNumberOfArguments (s, m, n));
  let rec check_arg = function
566
    | [], [] ->
567 568 569 570
	[]
    | a :: al, t :: bl ->
	let loc = t.pp_loc in
	let t = dterm env t in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
571
	if not (unify a t.dt_ty) then term_expected_type ~loc t.dt_ty a;
572 573 574 575 576 577
	t :: check_arg (al, bl)
    | _ ->
	assert false
  in
  check_arg (el, tl)

578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593
(** Add projection functions for the algebraic types *)

let add_projection cl p (fs,tyarg,tyval) th =
  let vs = create_vsymbol (id_fresh p) tyval in
  let per_cs (_,id,pl) =
    let cs = find_lsymbol (Qident id) th in
    let tc = match cs.ls_value with
      | None -> assert false
      | Some t -> t
    in
    let m = ty_match Mtv.empty tc tyarg in
    let per_param ty (n,_) = match n with
      | Some id when id.id = p -> pat_var vs
      | _ -> pat_wild (ty_inst m ty)
    in
    let al = List.map2 per_param cs.ls_args pl in
594
    t_close_branch (pat_app cs al tyarg) (t_var vs)
595 596
  in
  let vs = create_vsymbol (id_fresh "u") tyarg in
597
  let t = t_case (t_var vs) (List.map per_cs cl) in
598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622
  let d = make_fs_defn fs [vs] t in
  add_logic_decl th [d]

let add_projections th d = match d.td_def with
  | TDabstract | TDalias _ -> th
  | TDalgebraic cl ->
      let per_cs acc (_,id,pl) =
        let cs = find_lsymbol (Qident id) th in
        let tc = match cs.ls_value with
          | None -> assert false
          | Some t -> t
        in
        let per_param acc ty (n,_) = match n with
          | Some id when not (Mstr.mem id.id acc) ->
              let fn = id_user id.id id.id_loc in
              let fs = create_fsymbol fn [tc] ty in
              Mstr.add id.id (fs,tc,ty) acc
          | _ -> acc
        in
        List.fold_left2 per_param acc cs.ls_args pl
      in
      let ps = List.fold_left per_cs Mstr.empty cl in
      try Mstr.fold (add_projection cl) ps th
      with e -> raise (Loc.Located (d.td_loc, e))

623
(** Typing declarations, that is building environments. *)
624 625 626

open Ptree

627
let add_types dl th =
628
  let def = List.fold_left
629
    (fun def d ->
630
      let id = d.td_ident.id in
631
      if Mstr.mem id def then error ~loc:d.td_loc (Clash id);
632 633
      Mstr.add id d def)
    Mstr.empty dl
634
  in
635
  let tysymbols = Hashtbl.create 17 in
636
  let rec visit x =
637 638 639 640 641 642
    try
      match Hashtbl.find tysymbols x with
	| None -> error CyclicTypeDef
	| Some ts -> ts
    with Not_found ->
      Hashtbl.add tysymbols x None;
Andrei Paskevich's avatar
Andrei Paskevich committed
643
      let d = Mstr.find x def in
644 645
      let id = d.td_ident.id in
      let vars = Hashtbl.create 17 in
646 647 648 649
      let vl =
	List.map
	  (fun v ->
	     if Hashtbl.mem vars v.id then
650
	       error ~loc:v.id_loc (DuplicateTypeVar v.id);
651
	     let i = create_tvsymbol (id_user v.id v.id_loc) in
652 653
	     Hashtbl.add vars v.id i;
	     i)
654
	  d.td_params
655
      in
Andrei Paskevich's avatar
Andrei Paskevich committed
656
      let id = id_user id d.td_loc in
657
      let ts = match d.td_def with
658
	| TDalias ty ->
659
	    let rec apply = function
660 661
	      | PPTtyvar v ->
		  begin
662 663 664 665 666
		    try ty_var (Hashtbl.find vars v.id)
		    with Not_found -> error ~loc:v.id_loc (UnboundTypeVar v.id)
		  end
	      | PPTtyapp (tyl, q) ->
		  let ts = match q with
Andrei Paskevich's avatar
Andrei Paskevich committed
667
		    | Qident x when Mstr.mem x.id def ->
668 669 670 671
			visit x.id
		    | Qident _ | Qdot _ ->
			find_tysymbol q th
		  in
672
		  begin try
673
		    ty_app ts (List.map apply tyl)
674
		  with Ty.BadTypeArity (_, tsal, tyll) ->
675
		    error ~loc:(qloc q) (TypeArity (q, tsal, tyll))
676 677 678 679
		  end
	      | PPTtuple tyl ->
		  let ts = ts_tuple (List.length tyl) in
		  ty_app ts (List.map apply tyl)
680 681
	    in
	    create_tysymbol id vl (Some (apply ty))
682
	| TDabstract | TDalgebraic _ ->
683 684 685 686 687
	    create_tysymbol id vl None
      in
      Hashtbl.add tysymbols x (Some ts);
      ts
  in
688
  let tsl = List.rev_map (fun d -> visit d.td_ident.id, Tabstract) dl in
689
  let th' = try add_ty_decl th tsl
690
    with ClashSymbol s -> error ~loc:(Mstr.find s def).td_loc (Clash s)
691
  in
692
  let csymbols = Hashtbl.create 17 in
693
  let decl d =
694
    let ts, th' = match Hashtbl.find tysymbols d.td_ident.id with
695
      | None ->
696
	  assert false
697
      | Some ts ->
698 699
	  let th' = create_denv th' in
	  let vars = th'.utyvars in
700 701
	  List.iter
	    (fun v ->
702
	       Hashtbl.add vars v.tv_name.id_string
703
                  (create_ty_decl_var ~user:true v))
704 705 706 707
	    ts.ts_args;
	  ts, th'
    in
    let d = match d.td_def with
708
      | TDabstract | TDalias _ ->
709
	  Tabstract
710
      | TDalgebraic cl ->
711
	  let ty = ty_app ts (List.map ty_var ts.ts_args) in
712
	  let constructor (loc, id, pl) =
713
	    let param (_,t) = ty_of_dty (dty th' t) in
714
	    let tyl = List.map param pl in
715
	    Hashtbl.replace csymbols id.id loc;
716
	    create_fsymbol (id_user id.id loc) tyl ty
717 718 719 720
	  in
	  Talgebraic (List.map constructor cl)
    in
    ts, d
721
  in
722 723 724 725
  let th = try add_ty_decls th (List.map decl dl)
    with ClashSymbol s -> error ~loc:(Hashtbl.find csymbols s) (Clash s)
  in
  List.fold_left add_projections th dl
726

Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
727
let env_of_vsymbol_list vl =
728
  List.fold_left (fun env v -> Mstr.add v.vs_name.id_string v env) Mstr.empty vl
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
729

730
let add_logics dl th =
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
731 732
  let fsymbols = Hashtbl.create 17 in
  let psymbols = Hashtbl.create 17 in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
733
  let denvs = Hashtbl.create 17 in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
734
  (* 1. create all symbols and make an environment with these symbols *)
735
  let create_symbol th d =
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
736
    let id = d.ld_ident.id in
Andrei Paskevich's avatar
Andrei Paskevich committed
737
    let v = id_user id d.ld_loc in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
738
    let denv = create_denv th in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
739
    Hashtbl.add denvs id denv;
740
    let type_ty (_,t) = ty_of_dty (dty denv t) in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
741
    let pl = List.map type_ty d.ld_params in
742
    try match d.ld_type with
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
743 744 745
      | None -> (* predicate *)
	  let ps = create_psymbol v pl in
	  Hashtbl.add psymbols id ps;
746
	  add_logic_decl th [ps, None]
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
747 748
      | Some t -> (* function *)
	  let t = type_ty (None, t) in
749
	  let fs = create_fsymbol v pl t in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
750
	  Hashtbl.add fsymbols id fs;
751
	  add_logic_decl th [fs, None]
752
    with ClashSymbol s -> error ~loc:d.ld_loc (Clash s)
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
753 754 755
  in
  let th' = List.fold_left create_symbol th dl in
  (* 2. then type-check all definitions *)
756
  let type_decl d =
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
757 758 759
    let id = d.ld_ident.id in
    let dadd_var denv (x, ty) = match x with
      | None -> denv
Andrei Paskevich's avatar
Andrei Paskevich committed
760
      | Some id -> { denv with dvars = Mstr.add id.id (dty denv ty) denv.dvars }
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
761
    in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
762
    let denv = Hashtbl.find denvs id in
763
    let denv = { denv with uc = th' } in
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
764
    let denv = List.fold_left dadd_var denv d.ld_params in
765 766
    let create_var (x, _) ty =
      let id = match x with
767 768
	| None -> id_fresh "%x"
	| Some id -> id_user id.id id.id_loc
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
769 770 771
      in
      create_vsymbol id ty
    in
772
    let mk_vlist = List.map2 create_var d.ld_params in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
773 774 775
    match d.ld_type with
    | None -> (* predicate *)
	let ps = Hashtbl.find psymbols id in
776 777
        begin match d.ld_def with
	  | None -> ps,None
778
	  | Some f ->
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
779
	      let f = dfmla denv f in
780 781 782 783
              let vl = match ps.ls_value with
                | None -> mk_vlist ps.ls_args
                | _ -> assert false
              in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
784
	      let env = env_of_vsymbol_list vl in
785 786
              make_ps_defn ps vl (fmla env f)
        end
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
787
    | Some ty -> (* function *)
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
788
	let fs = Hashtbl.find fsymbols id in
789 790
        begin match d.ld_def with
	  | None -> fs,None
791
	  | Some t ->
Jean-Christophe Filliâtre's avatar
Jean-Christophe Filliâtre committed
792
	      let loc = t.pp_loc in
793
	      let ty = dty denv ty in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
794
	      let t = dterm denv t in
795
	      if not (unify t.dt_ty ty) then
796
		term_expected_type ~loc t.dt_ty ty;
797 798 799 800
              let vl = match fs.ls_value with
                | Some _ -> mk_vlist fs.ls_args
                | _ -> assert false
              in
Jean-Christophe Filliâtre's avatar
logic  
Jean-Christophe Filliâtre committed
801
	      let env = env_of_vsymbol_list vl in
802
	      make_fs_defn fs vl (term env t)