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Lambda World 2016 Category Theory for the Working Hacker by Philip Wadler
#categorytheory#philipwadler#propositionsastypes
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Intermediate. Assumes working knowledge.
99K views9 years ago3 recommendations
Computer scienceProgramming languagesFunctional programmingComputation and complexityLanguage design and type systems
Philip Wadler explains the connection between logic, types, and category theory, showing how these concepts apply to functional programming.
Category Theory for the Working Hacker The talk will explain why category theory is of interest for developers. The principle of Propositions as Types describes a correspondence between propositions and proofs in logic, on the one hand, and types and programs in computing, on the other. Category theory constitutes a third leg of this correspondence. Assuming only enough familiarity with functional programming that you know why ‘Lambda World’ has that name, the talk will explain how to model products (logical and), sums (logical or), and functions (logical implication), and why you already learned the most important stuff in high school. About Philip: Philip Wadler is an American computer scientist known for his contributions to programming language design and type theory. In particular, he has contributed to the theory behind functional programming[8] and the use of monads in functional programming, the design of the purely functional language Haskell,[9] and the XQuery declarative query language. In 1984, he created the Orwell programming language. Wadler was involved in adding generic types to Java 5.0.[10] He is also the author of the paper ‘Theorems for free!’ that gave rise to much research on functional language optimization (see also Parametricity). Cool Fact: In 2005, Wadler became a Fellow of the Royal Society of Edinburgh and in 2007 was inducted as a Fellow of the Association for Computing Machinery. Find out more at here: Philip Wadler’s home page About Lambda World: The 2016 Lambda World brought together Functional Programming enthusiasts from around the world for two days of presentations, hacking, networking, and a healthy dose of partying in Cadiz, Spain. Hosted by 47 Degrees, the event also featured a Typelevel Community Conference and a Scala Center Hackathon. Join in on the conversation at twitter.com/lambda_world and twitter.com/47deg using #LambdaWorld. Stay tuned to lambda.world and 47deg.com for more on the conference and announcements for the 2017 event.What people say. Recommended as an accessible introduction to category theory and its relevance to functional programmers.
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