Real-time systems such as medical devices, surgical robots, and microprocessors are safety- critical applications that have hard timing constraint. The correctness of real-time systems is important as the failure may result in severe consequences such as loss of money, time and human life. These real-time systems have software to control their behavior. Typically, these software have source code which is converted to object code and then executed in safety-critical embedded devices. Therefore, it is important to ensure that both source code and object code are error-free. When dealing with safety-critical systems, formal verification techniques have laid the foundation for ensuring software correctness. Refinement based technique in formal verification can be used for the verification of real- time interrupt-driven object code. This dissertation presents an automated tool that verifies the functional and timing correctness of real-time interrupt-driven object code programs. The tool has been developed in three stages. In the first stage, a novel timed refinement procedure that checks for timing properties has been developed and applied on six case studies. The required model and an abstraction technique were generated manually. The results indicate that the proposed abstraction technique reduces the size of the implementation model by at least four orders of magnitude. In the second stage, the proposed abstraction technique has been automated. This technique has been applied to thirty different case studies. The results indicate that the automated abstraction technique can easily reduce the model size, which would in turn significantly reduce the verification time. In the final stage, two new automated algorithms are proposed which would check the functional properties through safety and liveness. These algorithms were applied to the same thirty case studies. The results indicate that the functional verification can be performed in less than a second for the reduced model. The benefits of automating the verification process for real-time interrupt-driven object code include: 1) the overall size of the implementation model has reduced significantly; 2) the verification is within a reasonable time; 3) can be applied multiple times in the system development process. / Several parts of this dissertation was funded by a grant from the United States Government and the generous support of the American people through the United States Department of State and the United States Agency for International Development (USAID) under the Pakistan – U.S. Science & Technology Cooperation Program. The contents do not necessarily reflect the views of the United States Government.

Formal verification methods have been shown to be very effective in finding corner-case bugs and ensuring the safety of embedded software systems. The use of formal verification requires a specification, which is typically a high-level mathematical model that defines the correct behavior of the system to be verified. However, embedded software requirements are typically described in natural language. Transforming these requirements into formal specifications is currently a big gap. While there is some work in this area, we proposed solutions to address this gap in the context of refinement-based verification, a class of formal methods that have shown to be effective for embedded object code verification. The proposed approach also addresses both functional and timing requirements and has been demonstrated in the context of safety requirements for software control of infusion pumps. The next step in the verification process is to develop the refinement map, which is a mapping function that can relate an implementation state (in this context, the state of the object code program to be verified) with the specification state. Actually, constructing refinement maps often requires deep understanding and intuitions about the specification and implementation, it is shown very difficult to construct refinement maps manually. To go over this obstacle, the construction of refinement maps should be automated. As a first step toward the automation process, we manually developed refinement maps for various safety properties concerning the software control operation of infusion pumps. In addition, we identified possible generic templates for the construction of refinement maps. Recently, synthesizing procedures of refinement maps for functional and timing specifications are proposed. The proposed work develops a process that significantly increases the automation in the generation of these refinement maps. The refinement maps can then be used for refinement-based verification. This automation procedure has been successfully applied on the transformed safety requirements in the first part of our work. This approach is based on the identified generic refinement map templates which can be increased in the future as the application required.