Applying High-Level Function Loop Invariants for Machine Code Deductive Verification

Abstract

The existing tools of deductive verification allow us to successfully prove the correctness of functions written in high-level languages such as C or Java. However, this may not be enough for critical software because even fully verified code cannot guarantee the correct generation of machine code by the compiler. At the moment, developers of such systems have to accept the compiler correctness assumption, which, however, is extremely undesirable, but inevitable due to the lack of full-fledged systems of formal verification of machine code. It is also worth noting that the verification of machine code by a person directly is an extremely time-consuming task due to the high complexity and large amounts of machine code. One of the approaches to simplify the verification of machine code is automatic deductive verification reusing the formal specification of the high-level language function. The formal specification of the function consists of the specification of the pre-and postcondition, as well as loop invariants, which specify conditions that are satified at each iteration of the loop. When compiling a program into machine code, pre-and postconditions are preserved, which, however, cannot be said about loop invariants. This fact is one of the main problems of automatic verification of machine code with loops. Another important problem is that high-level function variables often have 'projections' to both registers and memory at the machine code level, and the verification procedure requires that invariants be described for each variable, and therefore the missing invariants must be generated. This paper presents an approach to solving these problems, based on the analysis of the control flow graph, and intelligent search of the locations of variables.