Formal semantics of a classical-quantum language

• A classical-quantum imperative language with an operational and denotational semantics. Two Hoare-style proof systems that are satisfaction-based. An abstract system is sound relatively complete, a concrete sound. We investigate the formal semantics of simple has both classical quantum constructs. More specifically, we provide semantics, two systems: one one. The satisfaction-based, as inspired by program logics Barthe et al. for probabilistic programs. turns out to be while only.