Enabling Hoare-style reasoning for low-level code is attractive since it opens the way to regain structure and modularity in a domain where structure is essentially absent. The field, however, has not yet arrived at a fully satisfactory solution, in the sense of avoiding restrictions on control flow (important for compiler optimization), controlling access to intermediate program points (important for modularity), and supporting total correctness. Proposals in the literature support some of these properties, but a solution that meets them all is yet to be found. We introduce the novel Hoare-style program logic L A , which interprets postconditions relative to program points when these are first encountered. The logic supports both partial and total correctness, derives contracts for arbitrary control flow, and allows one to freely choose decomposition strategy during verification while avoiding step-indexed approximations and global invariants. The logic can be instantiated for a variety of concrete instruction set architectures and intermediate languages. The rules of L A have been verified in the interactive theorem prover HOL4 and integrated with the toolbox HolBA for semi-automated program verification, which supports the ARMv6, ARMv8 and RISC-V instruction sets.

We present the first semantics of the network data plane programming language P4 able to adequately capture all key features of P4 16 , the most recent version of P4, including external functions (externs) and concurrency. These features are intimately related since, in P4, extern invocations are the only points at which one execution thread can affect another. Reflecting P4’s lack of a general-purpose memory and the presence of multithreading the semantics is given in small-step style and eschews the use of a heap. In addition to the P4 language itself, we provide an architectural level semantics, which allows the composition of P4-programmed blocks, models end-to-end packet processing, and can take into account features such as arbitration and packet recirculation. A corresponding type system is provided with attendant progress, preservation, and type-soundness theorems. Semantics, type system, and meta-theory are formalized in the HOL4 theorem prover. From this formalization, we derive a HOL4 executable semantics that supports verified execution of programs with partially symbolic packets able to validate simple end-to-end program properties.