Скачать или смотреть Proof Transformation and the Curry Howard Isomorphism

The source provides an overview of a mind-bending area of computer science where pure logical proofs can be transformed directly into working computer code. This revolutionary concept is underpinned by the Curry Howard isomorphism, which establishes a fundamental one-to-one mapping between the language of logic and the language of computation. The process involves writing a program's specification as a formal logic statement, building a constructive proof for it, and then running a process called cut elimination to extract the executable code; this elimination process, which removes all shortcuts from the proof, is the computation itself. While this method promises perfectly bug-free software, a significant challenge is that eliminating cuts causes the resulting executable proof to explode in size, often rendering it impractical. Despite this trade-off, research continues to explore ways to manage this computational explosion, moving this theory into practice with tools designed to create demonstrably correct software.