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(*                                                                  *)
(*  The Why3 Verification Platform   /   The Why3 Development Team  *)
(*  Copyright 2010-2022 --  Inria - CNRS - Paris-Saclay University  *)
(*                                                                  *)
(*  This software is distributed under the terms of the GNU Lesser  *)
(*  General Public License version 2.1, with the special exception  *)
(*  on linking described in file LICENSE.                           *)
(*                                                                  *)
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(** Logic Declarations *)

open Ident
open Ty
open Term

(** {2 Type declaration} *)

type constructor = lsymbol * lsymbol option list
(** constructor symbol with the list of projections *)

type data_decl = tysymbol * constructor list

(** {2 Logic symbols declaration} *)

type ls_defn

type logic_decl = lsymbol * ls_defn

val make_ls_defn : lsymbol -> vsymbol list -> term -> logic_decl

val open_ls_defn : ls_defn -> vsymbol list * term

val open_ls_defn_cb : ls_defn -> vsymbol list * term *
                    (lsymbol -> vsymbol list -> term -> logic_decl)

val ls_defn_axiom : ls_defn -> term

val ls_defn_of_axiom : term -> logic_decl option
(** tries to reconstruct a definition from a defining axiom. Do not apply
    this to recursive definitions: it may successfully build a logic_decl,
    which will fail later because of non-assured termination *)

val ls_defn_decrease : ls_defn -> int list
(** [ls_defn_decrease ld] returns a list of argument positions
    (numbered from 0) that ensures a lexicographical structural
    descent for every recursive call. Triggers are ignored.

    NOTE: This is only meaningful if the [ls_defn] comes
    from a declaration; on the result of [make_ls_defn],
    [ls_defn_decrease] will always return an empty list. *)

(** {2 Structural descent checking} *)

type call_set
type vs_graph

val create_call_set : unit -> call_set
val create_vs_graph : vsymbol list -> vs_graph
val register_call   : call_set -> ident ->
                      vs_graph -> ident -> term list -> unit
val vs_graph_drop   : vs_graph -> vsymbol -> vs_graph
val vs_graph_let    : vs_graph -> term -> vsymbol -> vs_graph
val vs_graph_pat    : vs_graph -> term -> pattern -> vs_graph
val find_variant    : exn -> call_set -> ident -> int list

(** {2 Proposition names} *)

type prsymbol = private {
  pr_name : ident;
}

module Mpr : Extmap.S with type key = prsymbol
module Spr : Extset.S with module M = Mpr
module Hpr : Exthtbl.S with type key = prsymbol
module Wpr : Weakhtbl.S with type key = prsymbol

val create_prsymbol : preid -> prsymbol

val pr_equal : prsymbol -> prsymbol -> bool

val pr_hash : prsymbol -> int

(** {2 Inductive predicate declaration} *)

type ind_decl = lsymbol * (prsymbol * term) list

type ind_sign = Ind | Coind
[@@deriving sexp_of]

type ind_list = ind_sign * ind_decl list

(** {2 Proposition declaration} *)

type prop_kind =
  | Plemma    (** prove, use as a premise *)
  | Paxiom    (** do not prove, use as a premise *)
  | Pgoal     (** prove, do not use as a premise *)
[@@deriving sexp_of]

type prop_decl = prop_kind * prsymbol * term

(** {2 Declaration type} *)

type decl = private {
  d_node : decl_node;
  d_news : Sid.t;         (** idents introduced in declaration *)
  d_tag  : Weakhtbl.tag;  (** unique magical tag *)
}

and decl_node = private
  | Dtype  of tysymbol          (** abstract types and aliases *)
  | Ddata  of data_decl list    (** recursive algebraic types *)
  | Dparam of lsymbol           (** abstract functions and predicates *)
  | Dlogic of logic_decl list   (** defined functions and predicates (possibly recursively) *)
  | Dind   of ind_list          (** (co)inductive predicates *)
  | Dprop  of prop_decl         (** axiom / lemma / goal *)

module Mdecl : Extmap.S with type key = decl
module Sdecl : Extset.S with module M = Mdecl
module Wdecl : Weakhtbl.S with type key = decl
module Hdecl : Exthtbl.S with type key = decl

val d_equal : decl -> decl -> bool
val d_hash : decl -> int

(** {2 Declaration constructors} *)

val create_ty_decl : tysymbol -> decl
val create_data_decl : data_decl list -> decl
val create_param_decl : lsymbol -> decl
val create_logic_decl : logic_decl list -> decl
val create_ind_decl : ind_sign -> ind_decl list -> decl
val create_prop_decl : prop_kind -> prsymbol -> term -> decl

(** {2 Used symbols} *)

val get_decl_syms : decl -> Sid.t

(** {2 Exceptions} *)

exception IllegalTypeAlias of tysymbol
exception NonPositiveTypeDecl of tysymbol * lsymbol * ty

exception InvalidIndDecl of lsymbol * prsymbol
exception NonPositiveIndDecl of lsymbol * prsymbol * lsymbol

exception NoTerminationProof of lsymbol
exception BadLogicDecl of lsymbol * lsymbol
exception UnboundVar of vsymbol
exception ClashIdent of ident

exception EmptyDecl
exception EmptyAlgDecl of tysymbol
exception EmptyIndDecl of lsymbol

exception BadConstructor of lsymbol
exception BadRecordField of lsymbol
exception BadRecordCons of lsymbol * tysymbol
exception BadRecordType of lsymbol * tysymbol
exception BadRecordUnnamed of lsymbol * tysymbol
exception RecordFieldMissing of lsymbol
exception DuplicateRecordField of lsymbol

(** {2 Utilities} *)

val decl_map : (term -> term) -> decl -> decl

val decl_fold : ('a -> term -> 'a) -> 'a -> decl -> 'a
(** open recursion style. Need a Why3.Term.fold for looking at subterms *)

val decl_map_fold : ('a -> term -> 'a * term) -> 'a -> decl -> 'a * decl

module DeclTF : sig

  val decl_map : (term -> term) -> (term -> term) -> decl -> decl

  val decl_fold : ('a -> term -> 'a) -> ('a -> term -> 'a) -> 'a -> decl -> 'a

  val decl_map_fold : ('a -> term -> 'a * term) ->
                      ('a -> term -> 'a * term) -> 'a -> decl -> 'a * decl
end

(** {2 Known identifiers} *)

type known_map = decl Mid.t

val known_id : known_map -> ident -> unit
val known_add_decl : known_map -> decl -> known_map
val merge_known : known_map -> known_map -> known_map

exception KnownIdent of ident
exception UnknownIdent of ident
exception RedeclaredIdent of ident
exception NonFoundedTypeDecl of tysymbol

val find_constructors : known_map -> tysymbol -> constructor list
val find_inductive_cases : known_map -> lsymbol -> (prsymbol * term) list
val find_logic_definition : known_map -> lsymbol -> ls_defn option
val find_prop : known_map -> prsymbol -> term
val find_prop_decl : known_map -> prsymbol -> prop_kind * term

(** {2 Records} *)

exception EmptyRecord

val parse_record :
  known_map -> (lsymbol * 'a) list -> lsymbol * lsymbol list * 'a Mls.t
(** [parse_record kn field_list] takes a list of record field assignments,
    checks it for well-formedness and returns the corresponding constructor,
    the full list of projection symbols, and the map from projection symbols
    to assigned values. *)

val make_record :
  known_map -> (lsymbol * term) list -> ty -> term

val make_record_update :
  known_map -> term -> (lsymbol * term) list -> ty -> term

val make_record_pattern :
  known_map -> (lsymbol * pattern) list -> ty -> pattern
