Conference: Nov 5-7, 2018
Workshops: Nov 8–9, 2018
Presentation: Category Theory for the Working Hacker
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What You’ll Learn
- How functional languages can benefit from a different perspective on types.
- How category theory has contributed to modern functional programming.
Abstract
The talk will explain why category theory is of interest for developers. The principle of Propositions as Types describes a correspondence between, on the one hand, propositions and proofs in logic, and, on the other, types and programs in computing. And, on the third hand, we have category theory! Assuming only high school maths, the talk will explain how categories model three basic data types: products (logical and), sums (logical or), and functions (logical implication). And it explains why you already learned the most important stuff in high school.
Interview
I work in functional programming and trying to put that in a place where other people can use it.
Category theory is the secret sauce that underlies a lot of functional programming. For instance, monads have become quite popular. The original ideas were developed by category theorists, and part of my contribution was to explain the ideas so you can use then without knowing any category theory. But if you do know category theory, then you have a chance to see where the next idea is coming from.
In the talk, I’m going to focus on three basic data types: products, sums, and functions. I’m going to talk about how they look in category theory, and how that translates to Java and Haskell, and some deep and beautiful symmetries that tie everything all together.
Developers who are interested in understanding some of the fundamental ideas that underpin the design of programming languages.
An understanding of the three most basic data structures in programming, how variants are really records turned on their head, and how the most important ideas are ones they already learned in high school.
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