Volume 1
Logical Foundations is the entry-point to the series. It covers functional programming, basic concepts of logic, computer-assisted theorem proving, and Coq.
Volume 2
Programming Language Foundations surveys the theory of programming languages, including operational semantics, Hoare logic, and static type systems.
Volume 3
Verified Functional Algorithms shows how a variety of fundamental data structures can be specified and mechanically verified.
Volume 4
QuickChick: Property-Based Testing in Coq introduces tools and techniques for combining randomized property-based testing with formal specification and proof in the Coq ecosystem.