  When reformulated as a resource theory, thermodynamics can analyze system
behaviors in the single-shot regime. In this, the work required to implement
state transitions is bounded by {\alpha}-Renyi divergences and so differs in
identifying efficient operations compared to stochastic thermodynamics. Thus, a
detailed understanding of the difference between stochastic and
resource-theoretic thermodynamics is needed. To this end, we explore
reversibility in the single-shot regime, generalizing the two-level work
reservoirs used there to multi-level work reservoirs. This achieves
reversibility in any transition in the single-shot regime. Building on this, we
systematically develop multi-level work reservoirs in the nondissipation regime
with and without catalysts. The resource-theoretic results show that two-level
work reservoirs undershoot Landauer's bound, misleadingly implying energy
dissipation during computation. In contrast, we demonstrate that multilevel
work reservoirs achieve Landauer's bound while producing arbitrarily low
entropy.
