  In arXiv: math.LO/0011208 we proposed the {\sl intuitionistic or disjunctive
representation of quantum logic}, i.e., a representation of the property
lattice of physical systems as a complete Heyting algebra of logical
propositions on these properties, where this complete Heyting algebra goes
equipped with an additional operation, the {\sl operational resolution}, which
identifies the properties within the logic of propositions. This representation
has an important application ``towards dynamic quantum logic'', namely in
describing the temporal indeterministic propagation of actual properties of
physical systems. This paper can as such by conceived as an addendum to
``Quantum Logic in Intuitionistic Perspective'' that discusses spin-off and
thus provides an additional motivation. We derive a quantaloidal semantics for
dynamic disjunctive quantum logic and illustrate it for the particular case of
a perfect (quantum) measurement.
