Types, Maps and Separation Logic

Abstract. This paper presents a separation-logic framework for reasoning about low-level C code in the presence of virtual memory. We describe ract, generic Isabelle/HOL framework for reasoning about virtual memory in separation logic, and we instantiate this framework to a precise, formal model of ARMv6 page tables. The logic supports the usual separation logic rules, including the frame rule, and extends separation logic with additional basic predicates for mapping virtual to physical addresses. We build on earlier work to parse potentially type-unsafe, system-level C code directly into Isabelle/HOL and further instantiate the separation logic framework to C.

• Type: Conference
• Year: 2009
• Where: TPHOL
• Authors: Rafal Kolanski, Gerwin Klein
• Keywords: Artificial Intelligence, Generic Isabelle/hol Framework, Separation Logic, TPHOL 2009, Virtual Memory