Formal Methods

Overview: 

Our research involves the use of mathematics to assist with the specification, design, implementation, and verification of computing systems.

Topics: 
  • Declarative Programming:
    • Declarative approaches to search. Nonmonotonic logic. Stable models. Semantics of answer set programming languages. Answer set solvers.
  • Concurrency:
    • Theory of concurrency and causality, Language for distributed and concurrent programming, Process algebra.
  • Hardware and Software Verification:
    • Microprocessor ISA specification. Microcode verification. Floating-point verification. Binary code analysis. Number theory and metamathematics.
  • Model Checking:
    • Property checking. Predicate abstraction. Automatic verification. Reachability. State-space exploration.
  • Security:
    • Model checking. Constraint solving. Computational soundness.
  • Theorem Proving:
    • Rewriting. Rule-driven simplification. Decision and semi-decision procedures. Heuristic proof techniques. Induction. Integrated proof techniques. Domain-specific proof techniques. Metafunctions. Search. Interactive guidance. Proof development environments.