  This work lies at the intersection of two cutting edge technologies
envisioned to proliferate in future 6G wireless systems: Multi-access Edge
Computing (MEC) and Reconfigurable Intelligent Surfaces (RISs). While the
former will bring a powerful information technology environment at the wireless
edge, the latter will enhance communication performance, thanks to the
possibility of adapting wireless propagation as per end users' convenience,
according to specific service requirements. We propose a joint optimization of
radio, computing, and wireless environment reconfiguration through an RIS, with
the goal of enabling low power computation offloading services with reliability
guarantees. Going beyond previous works on this topic, multi-carrier frequency
selective RIS elements' responses and wireless channels are considered. This
opens new challenges in RIS optimization, accounting for frequency dependent
RIS response profiles, which strongly affect RIS-aided wireless links and, as a
consequence, MEC service performance. We formulate an optimization problem
accounting for short and long-term constraints involving device transmit power
allocation across multiple subcarriers and local computing resources, as well
as RIS reconfiguration parameters according to a recently developed Lorentzian
model. Besides a theoretical optimization framework, numerical results show the
effectiveness of the proposed method in enabling low power reliable computation
offloading over RIS-aided frequency selective channels.
