Foundational typed assembly language with certified garbage collection

Type-directed certifying compilation and typed assembly language (TAL) aim to minimize the trusted computing base of safe languages by directly type-checking low-level ma-chine code. However, the safety of TAL still heavily relies on its safe interaction with the underlying garbage collector. Based on a recent variant of foundational proof-carrying code (FPCC), we introduce a general methodology for com-bining foundational TAL with a certified garbage collector. We demonstrate the practicality of this approach by link-ing a typical TAL with a conservative garbage collector. This includes proving the safety of the collector, the sound-ness of TAL, and the safe interaction between TAL programs and the garbage collector. Our work is fully mechanized in the Coq proof assistant and the certified programs can be shipped immediately as FPCC packages. 1