Abstract model-checking methods are efficient to prove properties on systems with infinite state-space dimension. When considering continuoustime dynamical systems, adequate temporal logic has to be used to express specifications of systems. In this short paper, we present our current work on designing a subset of signal temporal logic (STL) amenable to bounded abstract model-checking methods. The proposed approach uses set-based operations as atomic proposition of STL. Set-based approach is more suitable to applied abstract model-checking methods as it allows to consider set of system trajectories instead of only one trajectory of the system. Interval analysis methods are used to give a computable counterpart version of this set-based STL and to compute sets of trajectories of dynamical systems. The correctness of the presented framework is asserted using an abstract interpretation framework.