  We present cut-free labelled sequent calculi for a central formalism in
logics of agency: STIT logics with temporal operators. These include sequent
systems for Ldm, Tstit and Xstit. All calculi presented possess essential
structural properties such as contraction- and cut-admissibility. The labelled
calculi G3Ldm and G3TSTIT are shown sound and complete relative to irreflexive
temporal frames. Additionally, we extend current results by showing that also
XSTIT can be characterized through relational frames, omitting the use of BT+AC
frames.
