Algebra-Driven Design
Algebra-Driven Design
Elegant Solutions from Simple Building Blocks
About the Book
Hi there! My name is Sandy Maguire --- you might know me from my work on Polysemy and Thinking with Types.
One of purely functional programming's greatest strengths is its powerful abstraction capabilities. We proudly exclaim that our functions are referentially transparent, and because of that, our bugs will always be shallow. And this is often true.
10x is often cited as the magic number beyond which technology is good enough to overcome network effects. I'm personally convinced that functional programming is 10x better than any other paradigm I've tried. But if functional programming is so good, why hasn't it yet taken over the world?
This is a very serious question. If we're right about this, why haven't we won?
Algebra-Driven Design is my answer to this question. Functional programming hasn't taken market share because we collectively don't yet know how to write real applications with it. Abstraction is our language's greatest strength, but all of our "best practices" evangelize writing the same procedural code and use the same techniques as we would anywhere else.
Instead of giving up, this book encourages us to take a heavy focus on designing leak-free abstractions, on understanding programs so well that the code and tests can be largely generated automatically, and on finding performance improvements not via intuition, but through algebraic manipulation of the program's underlying equations. Functional programming affords us so many new possibilities for designing and testing better code, but this information is scattered and lost in ancient journals. I'd like to change that.
Table of Contents
- Algebra-Driven Design
- Preface
- Foreword by John Hughes
- Overview
- Abstraction
- What is Algebra-Driven Design?
- Conventions
- A Note on the Companion Library
- Designing Algebras
- Tiles
- Basic Building Blocks
- Subdividing Space
- Observations
- Generalization
- What Makes a Good Algebra?
- Scavenger Hunt
- Input Filters
- Simultaneous Challenges
- Challenge Completion
- Simplification
- A Unified Observation
- Symmetry
- Clues
- Generalization
- Deriving Implementations
- Tile Implementation
- The Initial Encoding
- Generating Tests
- An Efficient Implementation
- Scavenger Hunt Implementation
- The Filter Algebra
- The Challenge Algebra
- Testing It
- Implementation
- Reference Material
- Property-Based Testing
- Basics
- Writing Good Generators
- Showing
- Shrinking
- Using QuickCheck Interactively
- Effective QuickSpec
- Signatures
- Motivating QuickSpec
- Background Signatures
- Predicates
- Naming Variables
- Observing Equalities
- Creating QuickCheck Tests
- Variable Usage
- Debugging QuickSpec Output
- Common Algebraic Components
- Properties
- Structures
- Back Matter
- Acknowledgements
- Bibliography
- Glossary
Other books by this author
Authors have earned$10,091,628writing, publishing and selling on Leanpub, earning 80% royalties while saving up to 25 million pounds of CO2 and up to 46,000 trees.
Learn more about writing on Leanpub
The Leanpub 45-day 100% Happiness Guarantee
Within 45 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers), EPUB (for phones and tablets) and MOBI (for Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
Top Books
C++20
Rainer GrimmC++20 is the next big C++ standard after C++11. As C++11 did it, C++20 changes the way we program modern C++. This change is, in particular, due to the big four of C++20: ranges, coroutines, concepts, and modules.
The book is almost daily updated. These incremental updates ease my interaction with the proofreaders.
A Guide to Artificial Intelligence in Healthcare
Dr. Bertalan MeskoCan we stay human in the age of A.I.? To go even further, can we grow in humanity, can we shape a more humane, more equitable and sustainable healthcare? This e-book aims to prepare healthcare and medical professionals for the era of human-machine collaboration. Read our guide to understanding, anticipating and controlling artificial intelligence.
C++ Best Practices
Jason TurnerLevel up your C++, get the tools working for you, eliminate common problems, and move on to more exciting things!
Atomic Kotlin
Bruce Eckel and Svetlana IsakovaFor both beginning and experienced programmers! From the author of the multi-award-winning Thinking in C++ and Thinking in Java together with a member of the Kotlin language team comes a book that breaks the concepts into small, easy-to-digest "atoms," along with exercises supported by hints and solutions directly inside IntelliJ IDEA!
Sockets and Pipes
Type ClassesSockets and Pipes is not an introduction to Haskell; it is an introduction to writing software in Haskell. Using a handful of everyday Haskell libraries, this book walks through reading the HTTP specification and implementing it to create a web server.
Introducing EventStorming
Alberto BrandoliniThe deepest tutorial and explanation about EventStorming, straight from the inventor.
node-opcua by example
Etienne RossignonGet the best out of node-opcua through a set of documented examples by the author himself that will allow you to create stunning OPCUA Servers or Clients.
Ansible for DevOps
Jeff GeerlingAnsible is a simple, but powerful, server and configuration management tool. Learn to use Ansible effectively, whether you manage one server—or thousands.
Functional Design and Architecture
Alexander GraninSoftware Design in Functional Programming, Design Patterns and Practices, Methodologies and Application Architectures. How to build real software in Haskell with less efforts and low risks. The first complete source of knowledge.
Composing Software
Eric ElliottAll software design is composition: the act of breaking complex problems down into smaller problems and composing those solutions. Most developers have a limited understanding of compositional techniques. It's time for that to change.
Top Bundles
- #1
Software Architecture for Developers: Volumes 1 & 2 - Technical leadership and communication
2 Books
"Software Architecture for Developers" is a practical and pragmatic guide to modern, lightweight software architecture, specifically aimed at developers. You'll learn:The essence of software architecture.Why the software architecture role should include coding, coaching and collaboration.The things that you really need to think about before... - #2
All the Books of The Medical Futurist
6 Books
We put together the most popular books from The Medical Futurist to provide a clear picture about the major trends shaping the future of medicine and healthcare. Digital health technologies, artificial intelligence, the future of 20 medical specialties, big pharma, data privacy, digital health investments and how technology giants such as Amazon... - #3
PowerShell
3 Books
Buy every PowerShell book from Adam Bertram at a 20% discount! - #4
Cisco CCNA 200-301 Complet
4 Books
Ce lot comprend les quatre volumes du guide préparation à l'examen de certification Cisco CCNA 200-301. - #5
Linux Administration Complet
4 Books
Ce lot comprend les quatre volumes du Guide Linux Administration :Linux Administration, Volume 1, Administration fondamentale : Guide pratique de préparation aux examens de certification LPIC 1, Linux Essentials, RHCSA et LFCS. Administration fondamentale. Introduction à Linux. Le Shell. Traitement du texte. Arborescence de fichiers. Sécurité... - #6
Modern C++ by Nicolai Josuttis
2 Books
- #7
Django for Beginners/APIs/Professionals
3 Books
- #8
Learn Git, Bash, and Terraform the Hard Way
3 Books
Learn Git, Bash and Terraform using the Hard Way method.These technologies are essential tools in the DevOps armoury. These books walk you through their features and subtleties in a simple, gradual way that reinforces learning rather than baffling you with theory. - #9
Software Architecture and Beautiful APIs
2 Books
There is no better way to learn how to design good APIs than to look at many existing examples, complementing the Software Architecture theory on API design. - #10
Digital Future of Healthcare and Pharma
3 Books
These three popular e-books from The Medical Futurist describes how digital health technologies will shape the future of health, healthcare, medicine and pharma with exciting infographics in a digestible format.