Quantum Histories in the Modal Interpretation

We present a formulation of the modal interpretation in terms of quantum histories and their probabilities as these are defined in the decoherent histories approach to quantum mechanics. A special role is given in our formulation to the notion of dynamical decoherence which we discuss in detail. We derive transition (or conditional) probabilities by a specific application of the Born rule, but no dynamics in addition to the Schrödinger equation is required. Certain links to the Everett interpretation and to the Gell-Mann and Hartle interpretation are briefly discussed with special emphasis on the notions of probability and records.