List Comprehension

Explore how to use list comprehension syntax in Haskell to construct complex and infinite lists. Understand generators and guards, and learn to translate mathematical set notations into readable Haskell code, including examples like prime number generation.

We'll cover the following...

- List comprehensions by example
- Semantics of list comprehensions
  - Multiple generators
- Example: Prime numbers

In the final lesson on lists, we take a look at another powerful syntactic element to build complex lists: the list comprehension syntax.

List comprehensions by example

List comprehensions are a concept inspired by set definitions in mathematical notation. In mathematics, the definition

\{ x^2 \ |\ x \in \mathbb{N}, x \text{ is even} \}

defines the set of even squares. It is advised to start reading such a set definition from the right of the separating pipe symbol |.

The elements $x$

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1.Introduction

2.First Steps with Haskell

3.Techniques for Writing Functions

4.Working with Lists

5.Creating Data Types

6.Input and Output

7.Conclusion

8.Appendix

List Comprehension

List comprehensions by example