Module `Congruence.FO`

type term = Term.t
type t: Represents a congruence

val create : ?⁠size:int -> unit -> t

New congruence.

parameter size: a hint for the initial size of the hashtable.

val iter : t -> (mem:term -> repr:term -> unit) -> unit

Iterate on terms that are explicitely present in the congruence. The callback is given mem, the term itself, and repr, the current representative of the term mem.

Invariant: when calling iter cc f, if f ~mem ~repr is called, then find cc mem == repr holds.

val iter_roots : t -> (term -> unit) -> unit: Iterate on the congruence classes' representative elements. Exactly one term per congruence class will be passed to the function.

val add : t -> term -> t: Add the term to the congruence closure

val mk_eq : t -> term -> term -> t: mk_eq congruence t1 t2 asserts that t1 = t2 belongs to the congruence

val is_eq : t -> term -> term -> bool: Returns true if the two terms are equal in the congruence. This updates the congruence, because the two terms need to be added.

val pp_debug : t CCFormat.printer