A pointer logic and certifying compiler

Proof-Carrying Code brings two big challenges to the research field of programming languages. One is to seek more expressive logics or type systems to specify or reason about the properties of low-level or high-level programs. The other is to study the technology of certifying compilation in which the compiler generates proofs for programs with annotations. This paper presents our progress in the above two aspects. A pointer logic was designed for PointerC (a C-like programming language) in our research. As an extension of Hoare logic, our pointer logic expresses the change of pointer information for each statement in its inference rules to support program verification. Meanwhile, based on the ideas from CAP (Certified Assembly Programming) and SCAP (Stack-based Certified Assembly Programming), a reasoning framework was built to verify the properties of object code in a Hoare style. And a certifying compiler prototype for PointerC was implemented based on this framework. The main contribution of this paper is the design of the pointer logic and the implementation of the certifying compiler prototype. In our certifying compiler, the source language contains rich pointer types and operations and also supports dynamic storage allocation and deallocation.