Foundations of Software Verification and Dependent Types

Writing robust software often requires more than standard automated tests; it demands formal proof that code behaves exactly as intended. This comprehensive text-based course introduces you to the core principles of formal software verification, type theory, and the foundational relationship between computer programs and mathematical proofs. You will begin by mastering essential terminology and logic before progressing to advanced type systems that guarantee program correctness at compile time. What you'll learn: - Understand the fundamentals of formal software verification and logic-based correctness - Explore the Curry-Howard correspondence and how proofs map directly to programs - Apply dependent type systems to encode complex program specifications directly into types - Practice constructing formal proofs and verified functions using expressive type annotations - Learn how modern proof assistants and dependently typed languages check software guarantees - Formulate robust property specifications to prevent runtime failures and logical defects The course starts with basic definitions and logical propositions, gradually guiding you through type-theoretic concepts and hands-on written code examples. This material is designed for programmers and computer science enthusiasts seeking a clear entry point into formal verification, with no prior proof theory background required. Start reading today to deepen your understanding of type systems and verified computation.