Course pages 2016–17
Advanced Functional Programming
Principal lecturer: Dr Jeremy Yallop
Additional lecturers: Dr Neel Krishnaswami, Dr Leo White
Taken by: MPhil ACS, Part III
Prerequisites: Students wishing to take the module should have some experience of a typed functional programming language and an understanding of type inference.
This module shows how to use the features of modern typed functional programming languages such as OCaml and Haskell to design and implement libraries and DSLs. It introduces a variety of programming techniques for improving both correctness and efficiency.
Students wishing to take the module should have some experience of a typed functional programming language and an understanding of type inference.
Part 1: Types in functional languages.
- Typed lambda calculi. Hindley-Milner type inference and beyond. The Curry-Howard isomorphism.
- Higher-rank polymorphism. Duality of existentials and universals. Parametricity and abstraction.
- Modules, signatures, and functors.
- Records and variants
- Phantom types and generalised algebraic data types.
Part 2: Programming in functional languages.
- Typeful interfaces and domain-specific languages.
- Monads and related abstractions.
- Datatype-generic programming.
- Staging and metaprogramming.
On completion of this module students should be able to:
- Understand extensions to Hindley-Milner type systems common in modern typed functional programming languages (e.g. OCaml, Haskell).
- Apply modern approaches to designing libraries and DSLs, with appropriate use of monads, applicative functors, and related abstractions.
- Use advanced type system features to specify precise typed interfaces.
- Understand how to use metaprogramming to improve performance.
Coursework will consist of three take-home problem sets.
In addition to the take-home problem sets there will be (unassessed) interactive exercises to accompany many of the lectures.
Three take-home problem sets, each accounting for approximately a third of the marks.
Minsky, Y. & Madhavapeddy, A. and Hickey, J. (2013). Real World OCaml.
O'Reilly Media (1st edition).
(Also available online.) We'll assume familiarity with the concepts introduced in chapters 1--6.
Pierce, B. C. (2002). Types and Programming Languages. The MIT Press (1st edition). Pierce's book will be a useful reference for some of the concepts introduced in the first half of the course, although we'll be taking a less formal approach.