  There are two types of universality in measurement-based quantum computation
(MBQC): ${\it strict}$ and ${\it computational}$. It is well known that the
former is stronger than the latter. We present a method of transforming from a
certain type of computationally universal MBQC to a strictly universal one. Our
method simply replaces a single qubit in a resource state with a Pauli-$Y$
eigenstate. We applied our method to show that hypergraph states can be made
strictly universal with only Pauli measurements, while only computationally
universal hypergraph states were known.
