Course pages 2017–18

# Advanced Functional Programming

#### Mailing list

There is a mailing list for the course: **[Javascript required]**.

The mailing list is used for announcements, questions and discussion. Feel free to post!

Have a question but feeling shy? Mail the lecturer instead (`[Javascript required]`) and I'll anonymise and post your question.

#### Preparation

We'll be using (mostly) OCaml and (some) Agda in the course. The following books provide sufficient background:

- OCaml from the Very Beginning
*John Whitington*

Available in print, or as a PDF ($14.99) - Real World OCaml
*Yaron Minsky, Anil Madhavapeddy, Jason Hickey*

Available in print, or online. Chapters 1 to 6 give enough background for this course.

The OCaml Beginners mailing list is also a useful resource.

The first few lectures are quite theory oriented: we'll be looking at various typed lambda calculi, along with type inference in ML-family languages. If you haven't studied the lambda calculus before then some background reading is likely to make these lectures much easier to follow. There are many introductions available; one which fits well with our approach is

- Types and Programming Languages
*Benjamin C. Pierce*

There are copies in the Computer Laboratory library and many of the college libraries.

The material in chapters 5 (The Untyped Lambda-Calculus) and 9 (Simply Typed Lambda-Calculus) is essential. We'll also be covering material from later chapters (11, 23, 24, 29, 30), although in much less detail than Pierce.

Additionally, the Part II (third year undergraduate) Types course is a less-advanced course covering ML, System F and the Curry-Howard correspondence.

#### Tools

The OPAM package manager is the recommended way to install OCaml.

We will be using System Fω in the course to illustrate theoretical aspects of functional programming. We have provided an Fω interpreter (based on the interpreters by Pierce for the "Types and Programming Languages" book) so you can try out the examples.

The interpreter can be installed using OPAM with the following instructions:

```
$ opam remote add advanced-fp git://github.com/ocamllabs/advanced-fp-repo
$ opam install fomega
```

The interpreter can also be used directly in the browser.

#### Tentative lecture schedule

- Thursday 18 January 2018 (12pm, SW01)
- Lambda calculus (I)

*Jeremy Yallop*

Slides (introduction)

Slides (lambda calculus)

Lecture notes

Syntax reference - Monday 22 January 2018 (12pm, SW01)
- Type inference

*Nada Amin*

Slides

Lecture notes

Interactive online notebook - Thursday 25 January 2018 (12pm, SW01)
- Abstraction and parametricity (I)

Slides

Lecture notes

*Nada Amin* - Monday 29 January 2018 (12pm, SW01)
- Lambda calculus (II)

*Jeremy Yallop*

Slides

Lecture notes - Thursday 1 February 2018 (12pm, SW01)
- Abstraction and parametricity (II)

*Nada Amin*

Slides

Lecture notes - Monday 5 February 2018 (12pm, SW01)
- The Curry-Howard Correspondence

*Nada Amin*

Slides

**Recommended additional reading: Propositions as Types (Philip Wadler, 2015)**

**Further reading: Lectures on the Curry-Howard isomorphism (Morten Heine B. Sørensen and Paweł Urzyczyn, 1998)** - Thursday 8 February 2018 (12pm, SW01)
- Indexed data (I): generalized algebraic data types

*Jeremy Yallop*

Slides

Lecture notes

Online notebook with code from the lecture - Monday 12 February 2018 (12pm, SW01)
- Semirings

*Jeremy Yallop*

Slides - Thursday 15 February 2018 (12pm, SW01)
- Generalized algebraic data types, continued; Implicits

*Jeremy Yallop*

Slides (GADTs)

Slides (Implicits)

Lecture notes (GADTs): see notes from 8 February

Code and notes for modular implicits

**Further reading**: Modular implicits (Leo White, Frédéric Bour and Jeremy Yallop, 2015)

- Monday 19 February 2018 (12pm, SW01)
- Effects (I): monads etc.

*Jeremy Yallop*

Slides

Lecture notes - Thursday 22 February 2018 (12pm, SW01)
- Effects (II): algebraic effects & handlers

*Jeremy Yallop*

Slides

Supplementary notes on effects - Monday 26 February 2018 (12pm, SW01)
- Indexed data (II): inductive families

*Jeremy Yallop*

Slides

Agda code (plain) - Thursday 1 March 2018 (12pm, SW01)
- Generic programming

*Jeremy Yallop*

Slides

Online notebook

Agda code (plain) - Monday 5 March 2018 (12pm, SW01)
- Multi-stage programming (I)

*Jeremy Yallop*

Slides

Online notebook - Thursday 8 March 2018 (12pm, SW01)
- Multi-stage programming (II)

*Jeremy Yallop*

Slides

Online notebook (partially-static data)

Supplementary notes (staging and effects) - Monday 12 March 2018 (12pm, SW01)
- Recursion

*Jeremy Yallop*

Slides

Supplementary notes on staging and recursion

**Further reading**: Staged generic programming (2017)