Deterministic Propositional Acceptance Automata (DPAA) are proposed to capture system requirements expressing mandatory and forbidden discrete-time behavior. The main feature of this formalism is that it can express the expected behavior when the system is in a particular state. DPAA are therefore blending together state properties, expressed as propo-sitional formulas, and simple discrete-time temporal properties, expressed as mandatory and forbidden actions whenever a given state property holds. They extend modal transition systems to a propositonal setting, where models are Kripke structures, rather than labelled transition systems. Composition operators on DPAA are provided, making them an Interface Theory, with a refinement relation, parallel composition, conjunction and quotient operators. An implicit representation using characteristic functions is also proposed to limit the time/space computational complexity.