Module AbstractDomain.InvertedMap

Map domain ordered by intersection over the set of bindings, so the top element is the empty map. Every element implictly maps to top unless it is explicitly bound to something else

Parameters

module ValueDomain : S

Signature

include IStdlib.PrettyPrintable.PPMonoMap with type key = Key.t with type value = ValueDomain.t
include IStdlib.PrettyPrintable.MonoMap with type key = Key.t with type value = ValueDomain.t
type key = Key.t
type value = ValueDomain.t
type t
val empty : t
val is_empty : t -> bool
val mem : key -> t -> bool
val add : key -> value -> t -> t
val update : key -> (value option -> value option) -> t -> t
val singleton : key -> value -> t
val remove : key -> t -> t
val merge : (key -> value option -> value option -> value option) -> t -> t -> t
val union : (key -> value -> value -> value option) -> t -> t -> t
val compare : (value -> value -> int) -> t -> t -> int
val equal : (value -> value -> bool) -> t -> t -> bool
val iter : (key -> value -> unit) -> t -> unit
val fold : (key -> value -> 'a -> 'a) -> t -> 'a -> 'a
val for_all : (key -> value -> bool) -> t -> bool
val exists : (key -> value -> bool) -> t -> bool
val filter : (key -> value -> bool) -> t -> t
val filter_map : (key -> value -> value option) -> t -> t
val partition : (key -> value -> bool) -> t -> t * t
val cardinal : t -> int
val bindings : t -> (key * value) list
val min_binding : t -> key * value
val min_binding_opt : t -> (key * value) option
val max_binding : t -> key * value
val max_binding_opt : t -> (key * value) option
val choose : t -> key * value
val choose_opt : t -> (key * value) option
val split : key -> t -> t * value option * t
val find : key -> t -> value
val find_opt : key -> t -> value option
val find_first : (key -> bool) -> t -> key * value
val find_first_opt : (key -> bool) -> t -> (key * value) option
val find_last : (key -> bool) -> t -> key * value
val find_last_opt : (key -> bool) -> t -> (key * value) option
val map : (value -> value) -> t -> t
val mapi : (key -> value -> value) -> t -> t
val is_singleton_or_more : t -> (key * value) IStdlib.IContainer.singleton_or_more
val fold_map : t -> init:'a -> f:('a -> value -> 'a * value) -> 'a * t
val fold_mapi : t -> init:'a -> f:(key -> 'a -> value -> 'a * value) -> 'a * t
val of_seq : (key * value) Stdlib.Seq.t -> t
val to_seq : t -> (key * value) Stdlib.Seq.t
include IStdlib.PrettyPrintable.PrintableType with type t := t
val pp_key : IStdlib.PrettyPrintable.F.formatter -> key -> unit
include WithTop 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 top : t
val is_top : t -> bool