abstract BoundType typeAsLowerBound();

  abstract BoundType typeAsUpperBound();

  abstract Cut<C> withLowerBoundType(BoundType boundType, DiscreteDomain<C> domain);

  abstract Cut<C> withUpperBoundType(BoundType boundType, DiscreteDomain<C> domain);

  abstract void describeAsLowerBound(StringBuilder sb);

  abstract void describeAsUpperBound(StringBuilder sb);

  @Override
  public Range<C> range(BoundType lowerBoundType, BoundType upperBoundType) {
    return Range.create(
        range.lowerBound.withLowerBoundType(lowerBoundType, domain),
        range.upperBound.withUpperBoundType(upperBoundType, domain));
  }

  @Override
  public boolean equals(@Nullable Object object) {
    if (object == this) {
      return true;
    } else if (object instanceof RegularContiguousSet) {