Complete First-Order Reasoning for Properties of Functional Programs - OOPSLA 2023

Explore a 19-minute conference talk from OOPSLA2 2023 that delves into the theoretical foundations of automatic verification for functional programs. Uncover the generalization and formalization of heuristics used in tools like Liquid Haskell and Leon, revealing their completeness for reasoning with combined First-Order theories of algebraic datatypes and background theories. Gain insights into the efficacy of these heuristics, understand their limitations, and learn about the crucial role of user assistance in successful proofs. Presented by researchers from the University of Illinois at Urbana-Champaign and the University of California at San Diego, this talk covers topics such as First-Order Logic, completeness, refinement types, algebraic datatypes, and natural proofs, offering a comprehensive look at the theoretical underpinnings of functional program verification.