def _is_finite(constraints):
    """
    Return ``True`` if the dictionary ``constraints`` corresponds to
    a finite collection of ordered multiset partitions into sets.

    If either ``weight`` or ``size`` is among the constraints, then
    the constraints represent a finite collection of ordered multiset
    partitions into sets. If both are absent, one needs ``alphabet`` to be
    present (plus a bound on length or order) in order to have a
    finite collection of ordered multiset partitions into sets.

    EXAMPLES::

        sage: from sage.combinat.multiset_partition_into_sets_ordered import _is_finite
        sage: W = {"weight": {1:3, 2:3, 4:1}, "length": 5}
        sage: S = {"size": 44, "min_length": 5}
        sage: AO = {"alphabet": range(44), "max_order": 5}
        sage: all(_is_finite(constr) for constr in (W, S, AO))
        True
        sage: AL = {"alphabet": range(44), "min_order": 5}
        sage: _is_finite(AL)
        False
    """
    if "weight" in constraints or "size" in constraints:
        return True
    elif "alphabet" in constraints:
        # Assume the alphabet is finite
        Bounds = set(["length", "max_length", "order", "max_order"])
        return Bounds.intersection(set(constraints)) != set()