Verified Functional Programming in Agda (ACM Books) - Hardcover

Stump, Aaron

Hardcover

ISBN 10: 1970001275 ISBN 13: 9781970001273

Publisher: ACM Books, 2016

Synopsis

Agda is an advanced programming language based on Type Theory. Agda's type system is expressive enough to support full functional verification of programs, in two styles. In external verification, we write pure functional programs and then write proofs of properties about them. The proofs are separate external artifacts, typically using structural induction. In internal verification, we specify properties of programs through rich types for the programs themselves. This often necessitates including proofs inside code, to show the type checker that the specified properties hold. The power to prove properties of programs in these two styles is a profound addition to the practice of programming, giving programmers the power to guarantee the absence of bugs, and thus improve the quality of software more than previously possible. Verified Functional Programming in Agda is the first book to provide a systematic exposition of external and internal verification in Agda, suitable for undergraduate students of Computer Science. No familiarity with functional programming or computer-checked proofs is presupposed. The book begins with an introduction to functional programming through familiar examples like booleans, natural numbers, and lists, and techniques for external verification. Internal verification is considered through the examples of vectors, binary search trees, and Braun trees. More advanced material on type-level computation, explicit reasoning about termination, and normalization by evaluation is also included. The book also includes a medium-sized case study on Huffman encoding and decoding.

About this title

About the Author:

Aaron Stump is a professor of Computer Science at The University of Iowa. His research interests are in Computational Logic and Programming Languages, especially Type Theory. He received a Bachelor's degree in Computer Science and Philosophy from Cornell University in 1997, and a PhD in Computer Science from Stanford University in 2002.

Review:

“Verified Functional Programming in Agda is an excellent introduction to the field of dependently typed programming. Stump does a great job of making the subject accessible to beginners without shying away from the more advanced topics.” – Ulf Norell, Chalmers University of Technology, Sweden

About this edition

• Publisher: ACM Books
• Publication date: 2016
• ISBN 10: 1970001275
• ISBN 13: 9781970001273
• Binding: Hardcover
• Edition number: 1
• Number of pages: 284