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

This presentation was recorded at YOW! 2019. #GOTOcon #YOW
yowcon.com
Philip Wadler - Professor at University of Edinburgh @philipwadler
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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 • amzn.to/3SxTpwY
Vitaly Bragilevsky • Haskell in Depth • amzn.to/3EXpmbe
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