Quellcode-Bibliothek

^© Kompilation durch diese Firma

[Weder Korrektheit noch Funktionsfähigkeit der Software werden zugesichert.]

Datei: indrec.mli Sprache: SML

Original von: Coq^©

(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)

open Names
open Constr
open Environ
open Evd

(** Errors related to recursors building *)

type recursion_scheme_error =
  | NotAllowedCaseAnalysis of (*isrec:*) bool * Sorts.t * pinductive
  | NotMutualInScheme of inductive * inductive
  | NotAllowedDependentAnalysis of (*isrec:*) bool * inductive

exception RecursionSchemeError of env * recursion_scheme_error

(** Eliminations *)

type dep_flag = bool

(** Build a case analysis elimination scheme in some sort family *)

val build_case_analysis_scheme : env -> Evd.evar_map -> pinductive ->
      dep_flag -> Sorts.family -> evar_map * Constr.t

(** Build a dependent case elimination predicate unless type is in Prop
   or is a recursive record with primitive projections. *)

val build_case_analysis_scheme_default : env -> evar_map -> pinductive ->
      Sorts.family -> evar_map * Constr.t

(** Builds a recursive induction scheme (Peano-induction style) in the same
   sort family as the inductive family; it is dependent if not in Prop
   or a recursive record with primitive projections.  *)

val build_induction_scheme : env -> evar_map -> pinductive ->
      dep_flag -> Sorts.family -> evar_map * constr

(** Builds mutual (recursive) induction schemes *)

val build_mutual_induction_scheme :
  env -> evar_map -> ?force_mutual:bool ->
  (pinductive * dep_flag * Sorts.family) list -> evar_map * constr list

(** Scheme combinators *)

(** [weaken_sort_scheme env sigma eq s n c t] derives by subtyping from [c:t]
   whose conclusion is quantified on [Type i] at position [n] of [t] a
   scheme quantified on sort [s]. [set] asks for [s] be declared equal to [i],
  otherwise just less or equal to [i]. *)

val weaken_sort_scheme : env -> evar_map -> bool -> Sorts.t -> int -> constr -> types ->
  evar_map * types * constr

(** Recursor names utilities *)

val lookup_eliminator : inductive -> Sorts.family -> GlobRef.t
val elimination_suffix : Sorts.family -> string
val make_elimination_ident : Id.t -> Sorts.family -> Id.t

val case_suffix : string

¤ Dauer der Verarbeitung: 0.1 Sekunden (vorverarbeitet) ¤

Download des Quellennavigators
Download des sprechenden Kalenders
in der Quellcodebibliothek suchen

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.