(Programming Languages) in Agda = Programming (Languages in Agda) • Philip Wadler • YOW! 2019

This presentation was recorded at YOW! 2019. #GOTOcon #YOW https://yowcon.com Philip Wadler - Professor at University of Edinburgh @philipwadler RESOURCES https://www.linkedin.com/in/philip-wadler-a2bb3a276 https://github.com/wadler https://homepages.inf.ed.ac.uk/wadler https://wadler.blogspot.com ABSTRACT The most profound connection between logic and computation is a pun. The doctrine of Propositions as Types asserts that propositions correspond to types, proofs to programs, and simplification of proofs to evaluation of programs. The proof of a conjunction is a pair, the proof of a disjunction is a case expression, and the proof of an implication is a lambda expression. Proof by induction is just programming by #recursion. Dependently-typed #ProgrammingLanguages, such as #Agda, exploit this pun. To prove properties of programming languages in Agda, all we need do is program a description of those languages Agda. Finding an abstruse mathematical proof becomes as simple and as fun as hacking a program. This talk introduces *Programming Language Foundations in Agda*, a new textbook that is also an executable #AgdaScript---and also explains the role Agda is playing in #IOHK's new cryptocurrency. [...] RECOMMENDED BOOKS Rebecca Skinner • Effective Haskell • https://amzn.to/3SxTpwY Vitaly Bragilevsky • Haskell in Depth • https://amzn.to/3EXpmbe https://twitter.com/GOTOcon https://www.linkedin.com/company/goto- https://www.instagram.com/goto_con https://www.facebook.com/GOTOConferences #SoftwareEngineering #Programming #Haskell #SoftwareDevelopmentTutorial #ProgrammingTutorial #FunctionalProgramming #PhilipWadler #YOWcon Looking for a unique learning experience? Attend the next GOTO conference near you! Get your ticket at https://gotopia.tech Sign up for updates and specials at https://gotopia.tech/newsletter SUBSCRIBE TO OUR CHANNEL - new videos posted almost daily. https://www.youtube.com/user/GotoConferences/?sub_confirmation=1