The verification group at Oxford is internationally recognized as among the largest and strongest in the world. Our work spans a wide range of research, from fundamental investigations into the decidability and complexity of model checking for various types of infinite-state systems, through process calculi, logics and semantic models, all the way to practical, machine-assisted methods applicable to real-world problems and programming languages. We also have strong industrial links. Our key strengths include concurrency, abstraction, industrial-scale hardware verification, software model checking, and verification of real-time and probabilistic systems, with applications in security protocols, power management, nanotechnology, and biology. A major source of impact is the adoption by others of verification tools resulting from our research: FDR (model checker), Casper (security protocol compiler), SatAbs (SAT-based model checker for C with predicate abstraction), CBMC (bounded model checker for C) and PRISM (probabilistic model checker). All are highly cited and widely used in industrial contexts, both for research and teaching.