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remove dead code

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Simon Cruanes 2022-07-28 14:52:11 -04:00
parent e235a65567
commit e70daf4531
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34
src/core-ast/Hashcons.ml
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@ -1,34 +0,0 @@
module type ARG = sig
type t
val equal : t -> t -> bool
val hash : t -> int
val set_id : t -> int -> unit
end
module Make (A : ARG) : sig
type t
val create : ?size:int -> unit -> t
val hashcons : t -> A.t -> A.t
val size : t -> int
val to_iter : t -> A.t Iter.t
end = struct
module W = Weak.Make (A)
type t = { tbl: W.t; mutable n: int }
let create ?(size = 1024) () : t = { tbl = W.create size; n = 0 }
(* hashcons terms *)
let hashcons st t =
let t' = W.merge st.tbl t in
if t == t' then (
st.n <- 1 + st.n;
A.set_id t' st.n
);
t'
let size st = W.count st.tbl
let to_iter st yield = W.iter yield st.tbl
end

699
src/core-ast/ast.ml
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@ -1,699 +0,0 @@
(** Core AST *)
module Const = Const
module H = CCHash
type view =
| E_type of int
| E_var of var
| E_bound_var of bvar
| E_const of Const.t * t (* ty *)
| E_app of t * t
| E_lam of string * t * t
| E_pi of string * t * t
and var = { v_name: string; v_ty: t }
and bvar = { bv_idx: int; bv_ty: t }
and t = {
view: view;
(* computed on demand *)
mutable ty: t option;
mutable id: int;
(* contains: [highest DB var | 1:has free vars | 5:ctx uid] *)
mutable flags: int;
}
type term = t
(* 5 bits in [t.id] are used to store which store it belongs to, so we have
a chance of detecting when the user passes a term to the wrong store *)
let store_id_bits = 5
(* mask to access the store id *)
let store_id_mask = (1 lsl store_id_bits) - 1
let[@inline] view (e : t) : view = e.view
let[@inline] equal (e1 : t) e2 : bool = e1 == e2
let[@inline] hash (e : t) = H.int e.id
let[@inline] compare (e1 : t) e2 : int = CCInt.compare e1.id e2.id
let[@inline] db_depth e = e.flags lsr (1 + store_id_bits)
let[@inline] has_fvars e = (e.flags lsr store_id_bits) land 1 == 1
let[@inline] store_uid e : int = e.flags land store_id_mask
let[@inline] is_closed e : bool = db_depth e == 0
let pp_debug_ = ref (fun _ _ -> assert false)
let[@inline] ty_exn e : t =
match e.ty with
| Some x -> x
| None -> assert false
module Var = struct
type t = var
let compare a b : int =
if equal a.v_ty b.v_ty then
String.compare a.v_name b.v_name
else
compare a.v_ty b.v_ty
let[@inline] name v = v.v_name
let[@inline] ty self = self.v_ty
let[@inline] equal v1 v2 = v1.v_name = v2.v_name && equal v1.v_ty v2.v_ty
let[@inline] hash v1 = H.combine3 5 (H.string v1.v_name) (hash v1.v_ty)
let[@inline] pp out v1 = Fmt.string out v1.v_name
let make v_name v_ty : t = { v_name; v_ty }
let makef fmt ty = Fmt.kasprintf (fun s -> make s ty) fmt
let pp_with_ty out v =
Fmt.fprintf out "(@[%s :@ %a@])" v.v_name !pp_debug_ v.v_ty
module AsKey = struct
type nonrec t = t
let equal = equal
let compare = compare
let hash = hash
end
module Map = CCMap.Make (AsKey)
module Set = CCSet.Make (AsKey)
module Tbl = CCHashtbl.Make (AsKey)
end
module BVar = struct
type t = bvar
let equal (v1 : t) v2 = v1.bv_idx = v2.bv_idx && equal v1.bv_ty v2.bv_ty
let hash v = H.combine2 (H.int v.bv_idx) (hash v.bv_ty)
let pp out v = Fmt.fprintf out "bv[%d]" v.bv_idx
let[@inline] ty self = self.bv_ty
let make i ty : t = { bv_idx = i; bv_ty = ty }
end
(* open an application *)
let unfold_app (e : t) : t * t list =
let[@unroll 1] rec aux acc e =
match e.view with
| E_app (f, a) -> aux (a :: acc) f
| _ -> e, acc
in
aux [] e
(* debug printer *)
let expr_pp_with_ ~pp_ids ~max_depth out (e : t) : unit =
let rec loop k ~depth names out e =
let pp' = loop' k ~depth:(depth + 1) names in
(match e.view with
| E_type 0 -> Fmt.string out "type"
| E_type i -> Fmt.fprintf out "type_%d" i
| E_var v -> Fmt.string out v.v_name
(* | E_var v -> Fmt.fprintf out "(@[%s : %a@])" v.v_name pp v.v_ty *)
| E_bound_var v ->
let idx = v.bv_idx in
(match CCList.nth_opt names idx with
| Some n when n <> "" -> Fmt.string out n
| _ ->
if idx < k then
Fmt.fprintf out "x_%d" (k - idx - 1)
else
Fmt.fprintf out "%%db_%d" (idx - k))
| E_const (c, _) -> Const.pp out c
| (E_app _ | E_lam _) when depth > max_depth ->
Fmt.fprintf out "@<1>…/%d" e.id
| E_app _ ->
let f, args = unfold_app e in
Fmt.fprintf out "%a@ %a" pp' f (Util.pp_list pp') args
| E_lam ("", _ty, bod) ->
Fmt.fprintf out "(@[\\x_%d:@[%a@].@ %a@])" k pp' _ty
(loop (k + 1) ~depth:(depth + 1) ("" :: names))
bod
| E_lam (n, _ty, bod) ->
Fmt.fprintf out "(@[\\%s:@[%a@].@ %a@])" n pp' _ty
(loop (k + 1) ~depth:(depth + 1) (n :: names))
bod
| E_pi (_, ty, bod) when is_closed bod ->
(* actually just an arrow *)
Fmt.fprintf out "(@[%a@ -> %a@])"
(loop k ~depth:(depth + 1) names)
ty
(loop (k + 1) ~depth:(depth + 1) ("" :: names))
bod
| E_pi ("", _ty, bod) ->
Fmt.fprintf out "(@[Pi x_%d:@[%a@].@ %a@])" k pp' _ty
(loop (k + 1) ~depth:(depth + 1) ("" :: names))
bod
| E_pi (n, _ty, bod) ->
Fmt.fprintf out "(@[Pi %s:@[%a@].@ %a@])" n pp' _ty
(loop (k + 1) ~depth:(depth + 1) (n :: names))
bod);
if pp_ids then Fmt.fprintf out "/%d" e.id
and loop' k ~depth names out e =
match e.view with
| E_type _ | E_var _ | E_bound_var _ | E_const _ ->
loop k ~depth names out e (* atomic expr *)
| E_app _ | E_lam _ | E_pi _ ->
Fmt.fprintf out "(%a)" (loop k ~depth names) e
in
Fmt.fprintf out "@[%a@]" (loop 0 ~depth:0 []) e
let pp_debug = expr_pp_with_ ~pp_ids:false ~max_depth:max_int
let pp_debug_with_ids = expr_pp_with_ ~pp_ids:true ~max_depth:max_int
let () = pp_debug_ := pp_debug
module AsKey = struct
type nonrec t = t
let equal = equal
let compare = compare
let hash = hash
end
module Map = CCMap.Make (AsKey)
module Set = CCSet.Make (AsKey)
module Tbl = CCHashtbl.Make (AsKey)
module Hcons = Hashcons.Make (struct
type nonrec t = t
let equal a b =
match a.view, b.view with
| E_type i, E_type j -> i = j
| E_const (c1, ty1), E_const (c2, ty2) -> Const.equal c1 c2 && equal ty1 ty2
| E_var v1, E_var v2 -> Var.equal v1 v2
| E_bound_var v1, E_bound_var v2 -> BVar.equal v1 v2
| E_app (f1, a1), E_app (f2, a2) -> equal f1 f2 && equal a1 a2
| E_lam (_, ty1, bod1), E_lam (_, ty2, bod2) ->
equal ty1 ty2 && equal bod1 bod2
| ( ( E_type _ | E_const _ | E_var _ | E_bound_var _ | E_app _ | E_lam _
| E_pi _ ),
_ ) ->
false
let hash e : int =
match e.view with
| E_type i -> H.combine2 10 (H.int i)
| E_const (c, ty) -> H.combine3 20 (Const.hash c) (hash ty)
| E_var v -> H.combine2 30 (Var.hash v)
| E_bound_var v -> H.combine2 40 (BVar.hash v)
| E_app (f, a) -> H.combine3 50 (hash f) (hash a)
| E_lam (_, ty, bod) -> H.combine3 60 (hash ty) (hash bod)
| E_pi (_, ty, bod) -> H.combine3 70 (hash ty) (hash bod)
let set_id t id =
assert (t.id == -1);
t.id <- id
end)
module Store = struct
type t = { (* unique ID for this store *)
s_uid: int; s_exprs: Hcons.t }
(* TODO: use atomic? CCAtomic? *)
let n = ref 0
let create () : t =
let s_uid = !n in
incr n;
{ s_uid; s_exprs = Hcons.create ~size:256 () }
(* check that [e] belongs in this store *)
let[@inline] check_e_uid (self : t) (e : term) =
assert (self.s_uid == store_uid e)
end
type store = Store.t
let iter_shallow ~f (e : t) : unit =
match e.view with
| E_type _ -> ()
| _ ->
(match e.ty with
| None -> (* should be computed at build time *) assert false
| Some ty -> f false ty);
(match e.view with
| E_const _ -> ()
| E_type _ -> assert false
| E_var v -> f false v.v_ty
| E_bound_var v -> f false v.bv_ty
| E_app (hd, a) ->
f false hd;
f false a
| E_lam (_, tyv, bod) | E_pi (_, tyv, bod) ->
f false tyv;
f true bod)
let map_shallow_ ~make ~f (e : t) : t =
match view e with
| E_type _ | E_const _ -> e
| E_var v ->
let v_ty = f false v.v_ty in
if v_ty == v.v_ty then
e
else
make (E_var { v with v_ty })
| E_bound_var v ->
let ty' = f false v.bv_ty in
if v.bv_ty == ty' then
e
else
make (E_bound_var { v with bv_ty = ty' })
| E_app (hd, a) ->
let hd' = f false hd in
let a' = f false a in
if a == a' && hd == hd' then
e
else
make (E_app (f false hd, f false a))
| E_lam (n, tyv, bod) ->
let tyv' = f false tyv in
let bod' = f true bod in
if tyv == tyv' && bod == bod' then
e
else
make (E_lam (n, tyv', bod'))
| E_pi (n, tyv, bod) ->
let tyv' = f false tyv in
let bod' = f true bod in
if tyv == tyv' && bod == bod' then
e
else
make (E_pi (n, tyv', bod'))
(* TODO
(* map immediate subterms *)
let map_shallow ctx ~f (e : t) : t =
match view e with
| E_kind | E_type | E_const (_, []) | E_box _ -> e
| _ ->
let ty' =
lazy
(match e.e_ty with
| (lazy None) -> None
| (lazy (Some ty)) -> Some (f false ty))
in
(match view e with
| E_var v ->
let v_ty = f false v.v_ty in
if v_ty == v.v_ty then
e
else
make_ ctx (E_var { v with v_ty }) ty'
| E_const (c, args) ->
let args' = List.map (f false) args in
if List.for_all2 equal args args' then
e
else
make_ ctx (E_const (c, args')) ty'
| E_bound_var v ->
let ty' = f false v.bv_ty in
if v.bv_ty == ty' then
e
else
make_ ctx
(E_bound_var { v with bv_ty = ty' })
(Lazy.from_val (Some ty'))
| E_app (hd, a) ->
let hd' = f false hd in
let a' = f false a in
if a == a' && hd == hd' then
e
else
make_ ctx (E_app (f false hd, f false a)) ty'
| E_lam (n, tyv, bod) ->
let tyv' = f false tyv in
let bod' = f true bod in
if tyv == tyv' && bod == bod' then
e
else
make_ ctx (E_lam (n, tyv', bod')) ty'
| E_arrow (a, b) ->
let a' = f false a in
let b' = f false b in
if a == a' && b == b' then
e
else
make_ ctx (E_arrow (a', b')) ty'
| E_kind | E_type | E_box _ -> assert false)
*)
exception IsSub
let[@inline] is_type_ e =
match e.view with
| E_type _ -> true
| _ -> false
let[@inline] is_a_type e = is_type_ e || is_type_ (ty_exn e)
let iter_dag ?(seen = Tbl.create 8) ~iter_ty ~f e : unit =
let rec loop e =
if not (Tbl.mem seen e) then (
Tbl.add seen e ();
if iter_ty && not (is_type_ e) then loop (ty_exn e);
f e;
iter_shallow e ~f:(fun _ u -> loop u)
)
in
loop e
exception E_exit
let exists_shallow ~f e : bool =
try
iter_shallow e ~f:(fun b x -> if f b x then raise_notrace E_exit);
false
with E_exit -> true
let for_all_shallow ~f e : bool =
try
iter_shallow e ~f:(fun b x -> if not (f b x) then raise_notrace E_exit);
true
with E_exit -> false
let contains e ~sub : bool =
try
iter_dag ~iter_ty:true e ~f:(fun e' ->
if equal e' sub then raise_notrace IsSub);
false
with IsSub -> true
let free_vars_iter e : var Iter.t =
fun yield ->
iter_dag ~iter_ty:true e ~f:(fun e' ->
match view e' with
| E_var v -> yield v
| _ -> ())
let free_vars ?(init = Var.Set.empty) e : Var.Set.t =
let set = ref init in
free_vars_iter e (fun v -> set := Var.Set.add v !set);
!set
module Make_ = struct
let compute_db_depth_ e : int =
if is_type_ e then
0
else (
let d1 = db_depth @@ ty_exn e in
let d2 =
match view e with
| E_type _ | E_const _ | E_var _ -> 0
| E_bound_var v -> v.bv_idx + 1
| E_app (a, b) -> max (db_depth a) (db_depth b)
| E_lam (_, ty, bod) | E_pi (_, ty, bod) ->
max (db_depth ty) (max 0 (db_depth bod - 1))
in
max d1 d2
)
let compute_has_fvars_ e : bool =
if is_type_ e then
false
else
has_fvars (ty_exn e)
||
match view e with
| E_var _ -> true
| E_type _ | E_bound_var _ | E_const _ -> false
| E_app (a, b) -> has_fvars a || has_fvars b
| E_lam (_, ty, bod) | E_pi (_, ty, bod) -> has_fvars ty || has_fvars bod
let universe_ (e : t) : int =
match e.view with
| E_type i -> i
| _ -> assert false
let[@inline] universe_of_ty_ (e : t) : int =
match e.view with
| E_type i -> i + 1
| _ -> universe_ (ty_exn e)
module T_int_tbl = CCHashtbl.Make (struct
type t = term * int
let equal (t1, k1) (t2, k2) = equal t1 t2 && k1 == k2
let hash (t, k) = H.combine3 27 (hash t) (H.int k)
end)
let db_shift_ ~make (e : t) (n : int) =
let rec loop e k : t =
if is_closed e then
e
else if is_a_type e then
e
else (
match view e with
| E_bound_var bv ->
if bv.bv_idx >= k then
make (E_bound_var (BVar.make (bv.bv_idx + n) bv.bv_ty))
else
e
| _ ->
map_shallow_ e ~make ~f:(fun inbind u ->
loop u
(if inbind then
k + 1
else
k))
)
in
assert (n >= 0);
if n = 0 || is_closed e then
e
else
loop e 0
(* replace DB0 in [e] with [u] *)
let db_0_replace_ ~make e ~by:u : t =
let cache_ = T_int_tbl.create 8 in
let rec aux e k : t =
if is_a_type e then
e
else if db_depth e < k then
e
else (
match view e with
| E_const _ -> e
| E_bound_var bv when bv.bv_idx = k ->
(* replace here *)
db_shift_ ~make u k
| _ ->
(* use the cache *)
(try T_int_tbl.find cache_ (e, k)
with Not_found ->
let r =
map_shallow_ e ~make ~f:(fun inb u ->
aux u
(if inb then
k + 1
else
k))
in
T_int_tbl.add cache_ (e, k) r;
r)
)
in
if is_closed e then
e
else
aux e 0
type subst = { m: t Var.Map.t } [@@unboxed]
let subst_ ~make ~recursive e0 (subst : subst) : t =
(* cache for types and some terms *)
let cache_ = T_int_tbl.create 16 in
let rec loop k e =
try T_int_tbl.find cache_ (e, k)
with Not_found ->
let r = loop_uncached_ k e in
T_int_tbl.add cache_ (e, k) r;
r
and loop_uncached_ k (e : t) : t =
match view e with
| _ when not (has_fvars e) -> e (* nothing to subst in *)
| E_var v ->
(* first, subst in type *)
let v = { v with v_ty = loop k v.v_ty } in
(match Var.Map.find v subst.m with
| u ->
let u = db_shift_ ~make u k in
if recursive then
loop 0 u
else
u
| exception Not_found -> make (E_var v))
| E_const _ -> e
| _ ->
map_shallow_ e ~make ~f:(fun inb u ->
loop
(if inb then
k + 1
else
k)
u)
in
if Var.Map.is_empty subst.m then
e0
else
loop 0 e0
let compute_ty_ ~make (view : view) : t =
match view with
| E_var v -> Var.ty v
| E_bound_var v -> BVar.ty v
| E_type i -> make (E_type (i + 1))
| E_const (_, ty) -> ty
| E_lam (name, ty, bod) ->
(* type of [\x:tau. bod] is [pi x:tau. typeof(bod)] *)
let ty_bod = ty_exn bod in
make (E_pi (name, ty, ty_bod))
| E_app (f, a) ->
(* type of [f a], where [a:tau] and [f: Pi x:tau. ty_bod_f],
is [ty_bod_f[x := a]] *)
let ty_f = ty_exn f in
let ty_a = ty_exn a in
(match ty_f.view with
| E_pi (_, ty_arg_f, ty_bod_f) ->
(* check that the expected type matches *)
if not (equal ty_arg_f ty_a) then
Error.errorf
"@[<2>cannot apply %a to %a,@ expected argument type: %a@ actual: \
%a@]"
pp_debug f pp_debug a pp_debug ty_arg_f pp_debug ty_a;
db_0_replace_ ~make ty_bod_f ~by:a
| _ ->
Error.errorf
"@[<2>cannot apply %a,@ must have Pi type, but actual type is %a@]"
pp_debug f pp_debug ty_f)
| E_pi (_, ty, bod) ->
(* TODO: check the actual triplets for COC *)
Fmt.printf "pi %a %a@." pp_debug ty pp_debug bod;
let u = max (universe_of_ty_ ty) (universe_of_ty_ bod) + 1 in
make (E_type u)
(* hashconsing + computing metadata + computing type (for new terms) *)
let rec make_ (store : store) view : t =
let e = { view; ty = None; id = -1; flags = 0 } in
let e2 = Hcons.hashcons store.s_exprs e in
if e == e2 then (
(* new term, compute metadata *)
assert (store.s_uid land store_id_mask == store.s_uid);
(* first, compute type *)
if not (is_type_ e) then (
let ty = compute_ty_ ~make:(make_ store) view in
e.ty <- Some ty
);
let has_fvars = compute_has_fvars_ e in
e2.flags <-
(compute_db_depth_ e lsl (1 + store_id_bits))
lor (if has_fvars then
1 lsl store_id_bits
else
0)
lor store.s_uid;
Store.check_e_uid store e2
);
e2
let type_of_univ store i : t = make_ store (E_type i)
let type_ store : t = type_of_univ store 0
let var store v : t = make_ store (E_var v)
let var_str store name ~ty : t = var store (Var.make name ty)
let bvar store v : t = make_ store (E_bound_var v)
let const store c ~ty : t = make_ store (E_const (c, ty))
let app store f a = make_ store (E_app (f, a))
let app_l store f l = List.fold_left (app store) f l
let abs_on_ (store : store) (v : var) (e : t) : t =
Store.check_e_uid store v.v_ty;
Store.check_e_uid store e;
if not (is_closed v.v_ty) then
Error.errorf "cannot abstract on variable@ with non closed type %a"
pp_debug v.v_ty;
let db0 = bvar store (BVar.make 0 v.v_ty) in
let body = db_shift_ ~make:(make_ store) e 1 in
subst_ ~make:(make_ store) ~recursive:false body
{ m = Var.Map.singleton v db0 }
let lam store v bod : t =
let bod' = abs_on_ store v bod in
make_ store (E_lam (Var.name v, Var.ty v, bod'))
let pi store v bod : t =
let bod' = abs_on_ store v bod in
make_ store (E_pi (Var.name v, Var.ty v, bod'))
let arrow store a b : t =
let b' = db_shift_ ~make:(make_ store) b 1 in
make_ store (E_pi ("", a, b'))
let arrow_l store args ret = List.fold_right (arrow store) args ret
(* find a name that doesn't capture a variable of [e] *)
let pick_name_ (name0 : string) (e : t) : string =
let rec loop i =
let name =
if i = 0 then
name0
else
Printf.sprintf "%s%d" name0 i
in
if free_vars_iter e |> Iter.exists (fun v -> v.v_name = name) then
loop (i + 1)
else
name
in
loop 0
let open_lambda store e : _ option =
match view e with
| E_lam (name, ty, bod) ->
let name = pick_name_ name bod in
let v = Var.make name ty in
let bod' = db_0_replace_ bod ~make:(make_ store) ~by:(var store v) in
Some (v, bod')
| _ -> None
let open_lambda_exn store e =
match open_lambda store e with
| Some tup -> tup
| None -> Error.errorf "open-lambda: term is not a lambda:@ %a" pp_debug e
end
include Make_
let get_ty store e : t =
match e.view with
| E_type i -> type_of_univ store (i + 1)
| _ -> ty_exn e
module Subst = struct
type t = subst
let empty = { m = Var.Map.empty }
let is_empty self = Var.Map.is_empty self.m
let add v t self = { m = Var.Map.add v t self.m }
let pp out (self : t) =
if is_empty self then
Fmt.string out "(subst)"
else (
let pp_pair out (v, t) =
Fmt.fprintf out "(@[%a := %a@])" Var.pp v pp_debug t
in
Fmt.fprintf out "(@[subst@ %a@])" (Util.pp_iter pp_pair)
(Var.Map.to_iter self.m)
)
let of_list l = { m = Var.Map.of_list l }
let of_iter it = { m = Var.Map.of_iter it }
let to_iter self = Var.Map.to_iter self.m
let apply (store : store) ~recursive (self : t) (e : term) : term =
subst_ ~make:(make_ store) ~recursive e self
end

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src/core-ast/ast.mli
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@ -1,143 +0,0 @@
(** Core AST.
The core AST is composed of expressions in the calculus of constructions,
with no universe polymorphism nor cumulativity. It should be fast, with hashconsing;
and simple enough (no inductives, no universe trickery).
It is intended to be the foundation for user-level terms and types and formulas.
*)
module Const = Const
(** {2 Main declarations} *)
type t
(** An AST node, i.e. an expression in the calculus of constructions *)
type term = t
type var = { v_name: string; v_ty: t }
type bvar = { bv_idx: int; bv_ty: t }
type store
(** The store for these AST nodes.
The store is responsible for allocating unique IDs to terms, and
enforcing their hashconsing (so that syntactic equality is just a pointer
comparison). *)
(** View.
A view is the shape of the root node of an AST. *)
type view =
| E_type of int
| E_var of var
| E_bound_var of bvar
| E_const of Const.t * t (* ty *)
| E_app of t * t
| E_lam of string * t * t
| E_pi of string * t * t
include EQ_ORD_HASH with type t := t
val pp_debug : t Fmt.printer
val pp_debug_with_ids : t Fmt.printer
(** {2 Variables} *)
(** Free variable *)
module Var : sig
type t = var
include EQ_ORD_HASH_PRINT with type t := t
val pp_with_ty : t Fmt.printer
val make : string -> term -> t
val makef : ('a, Format.formatter, unit, t) format4 -> term -> 'a
val name : t -> string
val ty : t -> term
include WITH_SET_MAP_TBL with type t := t
end
(** Bound variable *)
module BVar : sig
type t = bvar
include EQ_HASH_PRINT with type t := t
val make : int -> term -> t
val ty : t -> term
end
(** {2 Containers} *)
include WITH_SET_MAP_TBL with type t := t
(** {2 Utils} *)
val view : t -> view
val unfold_app : t -> t * t list
val iter_dag : ?seen:unit Tbl.t -> iter_ty:bool -> f:(t -> unit) -> t -> unit
val iter_shallow : f:(bool -> t -> unit) -> t -> unit
(** [iter_shallow f e] iterates on immediate subterms of [e],
calling [f trdb e'] for each subterm [e'], with [trdb = true] iff
[e'] is directly under a binder. *)
val exists_shallow : f:(bool -> t -> bool) -> t -> bool
val for_all_shallow : f:(bool -> t -> bool) -> t -> bool
val contains : t -> sub:t -> bool
val free_vars_iter : t -> var Iter.t
val free_vars : ?init:Var.Set.t -> t -> Var.Set.t
val is_closed : t -> bool
(** Is the term closed (all bound variables are paired with a binder)?
time: O(1) *)
val has_fvars : t -> bool
(** Does the term contain free variables?
time: O(1) *)
val ty_exn : t -> t
(** Return the type of this term. Fails if the term is a type. *)
val get_ty : store -> t -> t
(** [get_ty store t] gets the type of [t], or computes it on demand
in case [t] is itself a type. *)
(** {2 Creation} *)
module Store : sig
type t = store
val create : unit -> t
end
val type_ : store -> t
val type_of_univ : store -> int -> t
val var : store -> var -> t
val var_str : store -> string -> ty:t -> t
val const : store -> Const.t -> ty:t -> t
val app : store -> t -> t -> t
val app_l : store -> t -> t list -> t
val lam : store -> var -> t -> t
val pi : store -> var -> t -> t
val arrow : store -> t -> t -> t
val arrow_l : store -> t list -> t -> t
val open_lambda : store -> t -> (var * t) option
val open_lambda_exn : store -> t -> var * t
(** Substitutions *)
module Subst : sig
type t
include PRINT with type t := t
val empty : t
val is_empty : t -> bool
val of_list : (var * term) list -> t
val of_iter : (var * term) Iter.t -> t
val to_iter : t -> (var * term) Iter.t
val add : var -> term -> t -> t
val apply : store -> recursive:bool -> t -> term -> term
end

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src/core-ast/const.ml
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type view = ..
module type DYN_OPS = sig
val pp : view Fmt.printer
val equal : view -> view -> bool
val hash : view -> int
end
type ops = (module DYN_OPS)
type t = { view: view; ops: ops }
let view self = self.view
let equal (a : t) b =
let (module O) = a.ops in
O.equal a.view b.view
let hash (a : t) : int =
let (module O) = a.ops in
O.hash a.view
let pp out (a : t) =
let (module O) = a.ops in
O.pp out a.view
let make view ops : t = { view; ops }

19
src/core-ast/const.mli
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(** Constants.
Constants are logical symbols, defined by the user thanks to an open type *)
type t
type view = ..
module type DYN_OPS = sig
val pp : view Fmt.printer
val equal : view -> view -> bool
val hash : view -> int
end
type ops = (module DYN_OPS)
val view : t -> view
val make : view -> ops -> t
include EQ_HASH_PRINT with type t := t

6
src/core-ast/dune
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(library
(name sidekick_core_ast)
(public_name sidekick.core-ast)
(synopsis "Core AST for logic terms and types")
(flags :standard -w +32 -open Sidekick_sigs -open Sidekick_util)
(libraries containers iter sidekick.sigs sidekick.util))

3
src/core-ast/sidekick_core_ast.ml
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@ -1,3 +0,0 @@
module Ast = Ast
include Ast
module Str_const = Str_const