Practical Proof Checking for Program Certification

An Empirical Evaluation of Automated Theorem Provers in Software Certification

We describe a system for the automated certification of safety properties of NASA software. The system uses Hoare-style program verification technology to generate proof obligations which are then processed by an automated first-order theorem prover (ATP). We discuss the unique requirements this application places on the ATPs, focusing on automation, proof checking, traceability, and usability,...

Result certification for relational program analysis

We define a generic relational program analysis for an imperative, stack-oriented byte code language with procedures, arrays and global variables and instantiate it with an abstract domain of polyhedra. The analysis has automatic inference of loop invariants and method pre-/post-conditions, and efficient checking of analysis results by a simple checker. Invariants, which can be large, can be sp...

Utilisation et certification de l'arithmétique d'intervalles dans un assistant de preuves. (Taylor models to extend the use and certification of interval arithmeticin a proof checker)

A Certifying Frontend for (Sub)polyhedral Abstract Domains

Convex polyhedra provide a relational abstraction of numerical properties for static analysis of programs by abstract interpretation. We describe a lightweight certification of polyhedral abstract domains using the Coq proof assistant. Our approach consists in delegating most computations to an untrusted backend and in checking its outputs with a certified frontend. The backend is free to imple...

Formal Verification for High-Assurance Behavioral Synthesis

We present a framework for certifying hardware designs generated through behavioral synthesis, by using formal verification to certify the associated synthesis transformations. We show how to decompose this certification into two components, which can be respectively handled by the complementary verification techniques, theorem proving and model checking. The approach produces a certified refer...