Module SetDomain.ToppedSet

Functor for creating artificially topped set domains.

Parameters

module Base : Printable.S
module N : ToppedSetNames

Signature

include Lattice.S with type t = [ `Top | `Lifted of Make(Base).t ]
include Lattice.PO with type t = [ `Top | `Lifted of Make(Base).t ]
include Printable.S with type t = [ `Top | `Lifted of Make(Base).t ]
type t = [
  1. | `Top
  2. | `Lifted of Make(Base).t
]
val equal : t -> t -> bool
val hash : t -> int
val compare : t -> t -> int
val show : t -> string
val pretty : unit -> t -> Pretty.doc
val printXml : 'a BatInnerIO.output -> t -> unit
val name : unit -> string
val to_yojson : t -> Printable.json
val invariant : Invariant.context -> t -> Invariant.t
val tag : t -> int

Unique ID, given by HConsed, for context identification in witness

val arbitrary : unit -> t QCheck.arbitrary
val relift : t -> t
val leq : t -> t -> bool
val join : t -> t -> t
val meet : t -> t -> t
val widen : t -> t -> t

widen x y assumes leq x y. Solvers guarantee this by calling widen old (join old new).

val narrow : t -> t -> t
val pretty_diff : unit -> (t * t) -> Pretty.doc

If leq x y = false, then pretty_diff () (x, y) should explain why.

val bot : unit -> t
val is_bot : t -> bool
val top : unit -> t
val is_top : t -> bool
type elt = Base.t
val empty : unit -> t
val is_empty : t -> bool
val mem : elt -> t -> bool
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 diff : t -> t -> t
val subset : t -> t -> bool
val iter : (elt -> unit) -> t -> unit
val map : (elt -> elt) -> t -> t
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
val for_all : (elt -> bool) -> t -> bool
val exists : (elt -> bool) -> t -> bool
val filter : (elt -> bool) -> t -> t
val partition : (elt -> bool) -> t -> t * t
val cardinal : t -> int
val elements : t -> elt list
val of_list : elt list -> t
val min_elt : t -> elt
val max_elt : t -> elt
val choose : t -> elt
val split : elt -> t -> t * bool * t