Module type Lattice_type.Full_Lattice

Lattice with over- and under-approximation of join and meet, and intersection and difference.

include Bounded_Join_Semi_Lattice
include Join_Semi_Lattice

datatype of element of the lattice

include Datatype.S
include Datatype.S_no_copy
include Datatype.Ty
type t
val ty : t Type.t
val name : string

Unique name of the datatype.

val descr : t Descr.t

Datatype descriptor.

val packed_descr : Structural_descr.pack

Packed version of the descriptor.

val reprs : t list

List of representants of the descriptor.

val equal : t -> t -> bool

Equality: same spec than Stdlib.(=).

val compare : t -> t -> int

Comparison: same spec than Stdlib.compare.

val hash : t -> int

Hash function: same spec than Hashtbl.hash.

val pretty : Stdlib.Format.formatter -> t -> unit

Pretty print each value in an user-friendly way.

val mem_project : (Project_skeleton.t -> bool) -> t -> bool

mem_project f x must return true iff there is a value p of type Project.t in x such that f p returns true.

val copy : t -> t

Deep copy: no possible sharing between x and copy x.

val join : t -> t -> t

over-approximation of union

val is_included : t -> t -> bool

is first argument included in the second?

val bottom : t

smallest element

include With_Top with type t := t
val top : t

largest element

include With_Narrow with type t := t
val narrow : t -> t -> t

over-approximation of intersection

include With_Under_Approximation with type t := t

under-approximation of union

val meet : t -> t -> t

under-approximation of intersection

include With_Intersects with type t := t
val intersects : t -> t -> bool

intersects t1 t2 returns true iff the intersection of t1 and t2 is non-empty.

include With_Diff with type t := t
val diff : t -> t -> t

diff t1 t2 is an over-approximation of t1-t2. t2 must be an under-approximation or exact.