The Software Foundations series is a broad introduction to the mathematical underpinnings of reliable software.
The principal novelty of the series is that every detail is one hundred percent formalized and machine-checked: the entire text of each volume, including the exercises, is literally a "proof script" for the Coq proof assistant.
The exposition is intended for a broad range of readers, from advanced undergraduates to PhD students and researchers. No specific background in logic or programming languages is assumed, though a degree of mathematical maturity is helpful. A one-semester course can expect to cover Logical Foundations plus most of Programming Language Foundations or Verified Functional Algorithms, or selections from both.
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 for combining randomized property-based testing with formal specification and proof in the Coq ecosystem. |