This proof establishes that seL4's C code, once translated into Isabelle/HOL using Michael Norrish's C parser, is a formal refinement (i.e. a correct implementation) of its design specification and, transitively (using the results of the Design Spec Refinement Proof) seL4's C code is also a formal refinement of its abstract specification. In other words, this proof establishes that seL4's C code correctly implements its abstract specification.
The approach used for the proof is described in the TPHOLS '09 [paper][5].
To build for the ARM architecture from the l4v/ directory, run:
L4V_ARCH=ARM ./run_tests CRefine
The top-level theory where the refinement statement is established over
the entire kernel is Refine_C; the state-relation that
relates the state-spaces of the two specifications is defined in
StateRelation_C.
Note that this proof deals with two C-level semantics of seL4: one
produced directly by the C parser from the kernel's C code, and another
produced by the C spec's Substitute
theory. These proofs largely operate on the latter, proving that it
corresponds to the design spec. Refinement between the two C-level specs
is proved in the CToCRefine theory.
The top-level Refine_C theory quotes both refinement
properties.