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Writing certifiably correct system software is still very labor-intensive, and current programming languages are not well suited for the task. Proof assistants work best on programs written in a high-level functional style, while operating systems need low-level control over the hardware. We present DeepSEA, a language which provides support for layered specification and abstraction refinement, effect encapsulation and composition, and full equational reasoning. A single DeepSEA program is automatically compiled into a certified ``layer'' consisting of a C program (which is then compiled into assembly by CompCert), a low-level functional Coq specification, and a formal (Coq) proof that the C program satisfies the specification. Multiple layers can be composed and interleaved with manual proofs to ascribe a high-level specification to a program by stepwise refinement. We evaluate the language by using it to reimplement two existing verified programs: a SHA-256 hash function and an OS kernel page table manager. This new style of programming language design can directly support the development of correct-by-construction system software. 

Concurrent abstraction layers are ubiquitous in modern computer systems because of the pervasiveness of multithreaded programming and multicore hardware. Abstraction layers are used to hide the implementation details (e.g., fine-grained synchronization) and reduce the complex dependencies among components at different levels of abstraction. Despite their obvious importance, concurrent abstraction layers have not been treated formally. This severely limits the applicability of layer-based techniques and makes it difficult to scale verification across multiple concurrent layers. In this paper, we present CCAL---a fully mechanized programming toolkit developed under the CertiKOS project---for specifying, composing, compiling, and linking certified concurrent abstraction layers. CCAL consists of three technical novelties: a new game-theoretical, strategy-based compositional semantic model for concurrency (and its associated program verifiers), a set of formal linking theorems for composing multithreaded and multicore concurrent layers, and a new CompCertX compiler that supports certified thread-safe compilation and linking. The CCAL toolkit is implemented in Coq and supports layered concurrent programming in both C and assembly. It has been successfully applied to build a fully certified concurrent OS kernel with fine-grained locking.