Proving Pointer Programs in Higher-Order Logic

Farhad Mehta and Tobias Nipkow

Building on the work of Burstall, this paper develops sound modelling and reasoning methods for imperative programs with pointers: heaps are modelled as mappings from addresses to values, and pointer structures are mapped to higher-level data types for verification. The programming language is embedded in higher-order logic. Its Hoare logic is derived. The whole development is purely definitional and thus sound. Apart from some smaller examples, the viability of this approach is demonstrated with a non-trivial case study. We show the correctness of the Schorr-Waite graph marking algorithm and present part of its readable proof in Isabelle/HOL.

ps doi:10.1016/j.ic.2004.10.007


@article{MehtaN-IC05,author={Farhad Mehta and Tobias Nipkow},
title={Proving Pointer Programs in Higher-Order Logic},
journal={Information and Computation},
The full proof of the Schorr-Waite algorithm

This is an extended version of the conference paper.