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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 *)
(************************************************************************)
(*i $Id: inductive.mli 9420 2006-12-08 15:34:09Z barras $ i*)
(*i*)
open Names
open Term
open Declarations
open Environ
(*i*)
(*s Extracting an inductive type from a construction *)
val find_rectype : env -> constr -> inductive * constr list
type mind_specif = mutual_inductive_body * one_inductive_body
(*s Fetching information in the environment about an inductive type.
Raises [Not_found] if the inductive type is not found. *)
val lookup_mind_specif : env -> inductive -> mind_specif
val type_of_inductive : env -> mind_specif -> constr
(* Return type as quoted by the user *)
val type_of_constructor : constructor -> mind_specif -> constr
val arities_of_specif : mutual_inductive -> mind_specif -> constr array
(* [type_case_branches env (I,args) (p:A) c] computes useful types
about the following Cases expression:
<p>Cases (c :: (I args)) of b1..bn end
It computes the type of every branch (pattern variables are
introduced by products) and the type for the whole expression.
*)
val type_case_branches :
env -> inductive * constr list -> constr * constr -> constr
-> constr array * constr
(* Check a [case_info] actually correspond to a Case expression on the
given inductive type. *)
val check_case_info : env -> inductive -> case_info -> unit
(*s Guard conditions for fix and cofix-points. *)
val check_fix : env -> fixpoint -> unit
val check_cofix : env -> cofixpoint -> unit
(*s Support for sort-polymorphic inductive types *)
val type_of_inductive_knowing_parameters :
env -> one_inductive_body -> constr array -> constr
val max_inductive_sort : sorts array -> Univ.universe
val instantiate_universes : env -> rel_context ->
polymorphic_arity -> constr array -> rel_context * sorts
(***************************************************************)
(* Debug *)
type size = Large | Strict
type subterm_spec =
Subterm of (size * wf_paths)
| Dead_code
| Not_subterm
type guard_env =
{ env : env;
(* dB of last fixpoint *)
rel_min : int;
(* inductive of recarg of each fixpoint *)
inds : inductive array;
(* the recarg information of inductive family *)
recvec : wf_paths array;
(* dB of variables denoting subterms *)
genv : subterm_spec list;
}
val subterm_specif : guard_env -> constr -> subterm_spec
val case_branches_specif : guard_env -> subterm_spec -> inductive ->
constr array -> (guard_env * constr) array
|
