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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: typing.ml 9310 2006-10-28 19:35:09Z herbelin $ *)
open Util
open Names
open Term
open Environ
open Reductionops
open Type_errors
open Pretype_errors
open Inductive
open Inductiveops
open Typeops
open Evd
let meta_type env mv =
let ty =
try Evd.meta_ftype env mv
with Not_found -> error ("unknown meta ?"^string_of_int mv) in
meta_instance env ty
let vect_lift = Array.mapi lift
let vect_lift_type = Array.mapi (fun i t -> type_app (lift i) t)
(* The typing machine without information, without universes but with
existential variables. *)
(* cstr must be in n.f. w.r.t. evars and execute returns a judgement
where both the term and type are in n.f. *)
let rec execute env evd cstr =
match kind_of_term cstr with
| Meta n ->
{ uj_val = cstr; uj_type = nf_evar (evars_of evd) (meta_type evd n) }
| Evar ev ->
let sigma = Evd.evars_of evd in
let ty = Evd.existential_type sigma ev in
let jty = execute env evd (nf_evar (evars_of evd) ty) in
let jty = assumption_of_judgment env jty in
{ uj_val = cstr; uj_type = jty }
| Rel n ->
j_nf_evar (evars_of evd) (judge_of_relative env n)
| Var id ->
j_nf_evar (evars_of evd) (judge_of_variable env id)
| Const c ->
make_judge cstr (nf_evar (evars_of evd) (type_of_constant env c))
| Ind ind ->
make_judge cstr (nf_evar (evars_of evd) (type_of_inductive env ind))
| Construct cstruct ->
make_judge cstr
(nf_evar (evars_of evd) (type_of_constructor env cstruct))
| Case (ci,p,c,lf) ->
let cj = execute env evd c in
let pj = execute env evd p in
let lfj = execute_array env evd lf in
let (j,_) = judge_of_case env ci pj cj lfj in
j
| Fix ((vn,i as vni),recdef) ->
let (_,tys,_ as recdef') = execute_recdef env evd recdef in
let fix = (vni,recdef') in
check_fix env fix;
make_judge (mkFix fix) tys.(i)
| CoFix (i,recdef) ->
let (_,tys,_ as recdef') = execute_recdef env evd recdef in
let cofix = (i,recdef') in
check_cofix env cofix;
make_judge (mkCoFix cofix) tys.(i)
| Sort (Prop c) ->
judge_of_prop_contents c
| Sort (Type u) ->
judge_of_type u
| App (f,args) ->
let jl = execute_array env evd args in
let j =
match kind_of_term f with
| Ind ind ->
(* Sort-polymorphism of inductive types *)
judge_of_inductive_knowing_parameters env ind
(jv_nf_evar (evars_of evd) jl)
| Const cst ->
(* Sort-polymorphism of inductive types *)
judge_of_constant_knowing_parameters env cst
(jv_nf_evar (evars_of evd) jl)
| _ ->
execute env evd f
in
fst (judge_of_apply env j jl)
| Lambda (name,c1,c2) ->
let j = execute env evd c1 in
let var = type_judgment env j in
let env1 = push_rel (name,None,var.utj_val) env in
let j' = execute env1 evd c2 in
judge_of_abstraction env1 name var j'
| Prod (name,c1,c2) ->
let j = execute env evd c1 in
let varj = type_judgment env j in
let env1 = push_rel (name,None,varj.utj_val) env in
let j' = execute env1 evd c2 in
let varj' = type_judgment env1 j' in
judge_of_product env name varj varj'
| LetIn (name,c1,c2,c3) ->
let j1 = execute env evd c1 in
let j2 = execute env evd c2 in
let j2 = type_judgment env j2 in
let _ = judge_of_cast env j1 DEFAULTcast j2 in
let env1 = push_rel (name,Some j1.uj_val,j2.utj_val) env in
let j3 = execute env1 evd c3 in
judge_of_letin env name j1 j2 j3
| Cast (c,k,t) ->
let cj = execute env evd c in
let tj = execute env evd t in
let tj = type_judgment env tj in
let j, _ = judge_of_cast env cj k tj in
j
and execute_recdef env evd (names,lar,vdef) =
let larj = execute_array env evd lar in
let lara = Array.map (assumption_of_judgment env) larj in
let env1 = push_rec_types (names,lara,vdef) env in
let vdefj = execute_array env1 evd vdef in
let vdefv = Array.map j_val vdefj in
let _ = type_fixpoint env1 names lara vdefj in
(names,lara,vdefv)
and execute_array env evd = Array.map (execute env evd)
and execute_list env evd = List.map (execute env evd)
let mcheck env evd c t =
let sigma = Evd.evars_of evd in
let j = execute env evd (nf_evar sigma c) in
if not (is_conv_leq env sigma j.uj_type t) then
error_actual_type env j (nf_evar sigma t)
(* Type of a constr *)
let mtype_of env evd c =
let j = execute env evd (nf_evar (evars_of evd) c) in
(* No normalization: it breaks Pattern! *)
(*nf_betaiota*) (body_of_type j.uj_type)
let msort_of env evd c =
let j = execute env evd (nf_evar (evars_of evd) c) in
let a = type_judgment env j in
a.utj_type
let type_of env sigma c =
mtype_of env (Evd.create_evar_defs sigma) c
let sort_of env sigma c =
msort_of env (Evd.create_evar_defs sigma) c
let check env sigma c =
mcheck env (Evd.create_evar_defs sigma) c
(* The typed type of a judgment. *)
let mtype_of_type env evd constr =
let j = execute env evd (nf_evar (evars_of evd) constr) in
assumption_of_judgment env j
|
