The above SA-SF formalism can be used to generate a spin-complete version of SF-CIS. To extend this to DFT in a formally exact manner, it would be necessary to introduce a Hamiltonian ĤDFT that generates the exact ground-state energy as the expectation value of the single-determinant reference state. No such Hamiltonian is known in analytical form, so dynamical correlation is instead introduced as an ad hoc DFT correction to the SA-SF-CIS matrix elements, in a manner that is reminiscent of the ad hoc correction introduced in the DFT/MRCI method. The final matrix elements for SA-SF-DFT have the form