Verified functional programming in Agda

Titolo Verified functional programming in Agda
Autore Stump Aaron
Editore ACM (Association for Computing Machinery), Morgan & Claypool
ISBN 9781970001242
Soggetto Elaboratori elettronici Programmazione funzionale
Disciplina Informatica
Anno di pubblicazione 2016
Abstract Functional programming (Computer science)
Functional programming languages
Agda (Computer program language)
Type theory
Programming languages
Collezione ACM eBOOKS
Homepage editore
Abstract editore 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.
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