Module AbstractDomain.FiniteSet

Lift a set to a powerset domain ordered by subset. The elements of the set should be drawn from a *finite* collection of possible values, since the widening operator here is just union.

Parameters

Signature

include IStdlib.PrettyPrintable.PPSet with type elt = Element.t
include Stdlib.Set.S with type elt = Element.t
type elt = Element.t
type t
val empty : t
val add : elt -> t -> t
val singleton : elt -> t
val remove : elt -> t -> t
val union : t -> t -> t
val inter : t -> t -> t
val disjoint : t -> t -> bool
val diff : t -> t -> t
val cardinal : t -> int
val elements : t -> elt list
val min_elt : t -> elt
val min_elt_opt : t -> elt option
val max_elt : t -> elt
val max_elt_opt : t -> elt option
val choose : t -> elt
val choose_opt : t -> elt option
val find : elt -> t -> elt
val find_opt : elt -> t -> elt option
val find_first : (elt -> bool) -> t -> elt
val find_first_opt : (elt -> bool) -> t -> elt option
val find_last : (elt -> bool) -> t -> elt
val find_last_opt : (elt -> bool) -> t -> elt option
val iter : (elt -> unit) -> t -> unit
val fold : (elt -> 'acc -> 'acc) -> t -> 'acc -> 'acc
val map : (elt -> elt) -> t -> t
val filter : (elt -> bool) -> t -> t
val filter_map : (elt -> elt option) -> t -> t
val partition : (elt -> bool) -> t -> t * t
val split : elt -> t -> t * bool * t
val is_empty : t -> bool
val mem : elt -> t -> bool
val equal : t -> t -> bool
val compare : t -> t -> int
val subset : t -> t -> bool
val for_all : (elt -> bool) -> t -> bool
val exists : (elt -> bool) -> t -> bool
val to_list : t -> elt list
val of_list : elt list -> t
val to_seq_from : elt -> t -> elt Stdlib.Seq.t
val to_seq : t -> elt Stdlib.Seq.t
val to_rev_seq : t -> elt Stdlib.Seq.t
val add_seq : elt Stdlib.Seq.t -> t -> t
val of_seq : elt Stdlib.Seq.t -> t
val is_singleton_or_more : t -> elt IStdlib.IContainer.singleton_or_more
include IStdlib.PrettyPrintable.PrintableType with type t := t
val pp_hov : IStdlib.PrettyPrintable.F.formatter -> t -> unit
val pp_element : IStdlib.PrettyPrintable.F.formatter -> elt -> unit
include WithBottom with type t := t
include S with type t := t
include Comparable with type t := t
include IStdlib.PrettyPrintable.PrintableType with type t := t
val pp : IStdlib.PrettyPrintable.F.formatter -> t -> unit
val leq : lhs:t -> rhs:t -> bool

the implication relation: lhs <= rhs means lhs |- rhs

val join : t -> t -> t
val widen : prev:t -> next:t -> num_iters:int -> t
val bottom : t

The bottom value of the domain.

val is_bottom : t -> bool

Return true if this is the bottom value