Certified Programming With Dependent Types

Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 49,5 Mb
Release : 2022-06-07
Category : Computers
ISBN : 9780262545747

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Certified Programming with Dependent Types by Adam Chlipala Pdf

A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.

Author : Yves Bertot,Pierre Castéran
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 55,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662079645

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Interactive Theorem Proving and Program Development by Yves Bertot,Pierre Castéran Pdf

A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

Author : Edwin Brady
Publisher : Simon and Schuster
Page : 744 pages
File Size : 49,7 Mb
Release : 2017-03-13
Category : Computers
ISBN : 9781638352242

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Type-Driven Development with Idris by Edwin Brady Pdf

Summary Type-Driven Development with Idris, written by the creator of Idris, teaches you how to improve the performance and accuracy of your programs by taking advantage of a state-of-the-art type system. This book teaches you with Idris, a language designed to support type-driven development. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the Technology Stop fighting type errors! Type-driven development is an approach to coding that embraces types as the foundation of your code - essentially as built-in documentation your compiler can use to check data relationships and other assumptions. With this approach, you can define specifications early in development and write code that's easy to maintain, test, and extend. Idris is a Haskell-like language with first-class, dependent types that's perfect for learning type-driven programming techniques you can apply in any codebase. About the Book Type-Driven Development with Idris teaches you how to improve the performance and accuracy of your code by taking advantage of a state-of-the-art type system. In this book, you'll learn type-driven development of real-world software, as well as how to handle side effects, interaction, state, and concurrency. By the end, you'll be able to develop robust and verified software in Idris and apply type-driven development methods to other languages. What's Inside Understanding dependent types Types as first-class language constructs Types as a guide to program construction Expressing relationships between data About the Reader Written for programmers with knowledge of functional programming concepts. About the Author Edwin Brady leads the design and implementation of the Idris language. Table of Contents PART 1 - INTRODUCTION Overview Getting started with IdrisPART 2 - CORE IDRIS Interactive development with types User-defined data types Interactive programs: input and output processing Programming with first-class types Interfaces: using constrained generic types Equality: expressing relationships between data Predicates: expressing assumptions and contracts in types Views: extending pattern matching PART 3 - IDRIS AND THE REAL WORLD Streams and processes: working with infinite data Writing programs with state State machines: verifying protocols in types Dependent state machines: handling feedback and errors Type-safe concurrent programming

Author : Aaron Stump
Publisher : Morgan & Claypool
Page : 284 pages
File Size : 40,6 Mb
Release : 2016-02-01
Category : Computers
ISBN : 9781970001266

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Verified Functional Programming in Agda by Aaron Stump Pdf

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.

Author : Rob Nederpelt,Herman Geuvers
Publisher : Cambridge University Press
Page : 465 pages
File Size : 41,9 Mb
Release : 2014-11-06
Category : Computers
ISBN : 9781107036505

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Type Theory and Formal Proof by Rob Nederpelt,Herman Geuvers Pdf

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

Author : Jeremy Avigad,Assia Mahboubi
Publisher : Springer
Page : 642 pages
File Size : 54,8 Mb
Release : 2018-07-03
Category : Mathematics
ISBN : 9783319948218

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Interactive Theorem Proving by Jeremy Avigad,Assia Mahboubi Pdf

This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018. The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results. Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Chris Hawblitzel,Dale Miller
Publisher : Springer
Page : 305 pages
File Size : 49,6 Mb
Release : 2012-11-08
Category : Computers
ISBN : 9783642353086

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Certified Programs and Proofs by Chris Hawblitzel,Dale Miller Pdf

This book constitutes the refereed proceedings of the Second International Conference on Certified Programs and Proofs, CPP 2012, held in Kyoto, Japan, in December 2012. The 18 revised regular papers presented were carefully reviewed and selected from 37 submissions. They deal with those topics in computer science and mathematics in which certification via formal techniques is crucial.

Author : Benjamin C. Pierce
Publisher : MIT Press
Page : 646 pages
File Size : 52,7 Mb
Release : 2002-01-04
Category : Computers
ISBN : 9780262303828

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Types and Programming Languages by Benjamin C. Pierce Pdf

A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.

Author : Andrew W. Appel,Sandrine Blazy,Xavier Leroy,Gordon Stewart
Publisher : Cambridge University Press
Page : 469 pages
File Size : 43,8 Mb
Release : 2014-04-21
Category : Computers
ISBN : 9781107048010

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Program Logics for Certified Compilers by Andrew W. Appel,Sandrine Blazy,Xavier Leroy,Gordon Stewart Pdf

This tutorial for graduate students covers practical and theoretical aspects of separation logic with constructions and proofs in Coq.

Author : Georges Gonthier,Michael Norrish
Publisher : Springer
Page : 309 pages
File Size : 52,8 Mb
Release : 2013-12-11
Category : Computers
ISBN : 9783319035451

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Certified Programs and Proofs by Georges Gonthier,Michael Norrish Pdf

This book constitutes the refereed proceedings of the Third International Conference on Certified Programs and Proofs, CPP 2013, colocated with APLAS 2013 held in Melbourne, Australia, in December 2013. The 18 revised regular papers presented together with 1 invited lecture were carefully reviewed and selected from 39 submissions. The papers are organized in topical sections on code verification, elegant proofs, proof libraries, certified transformations and security.

Author : Matthias Felleisen,Robert Bruce Findler,Matthew Flatt,Shriram Krishnamurthi
Publisher : MIT Press
Page : 793 pages
File Size : 49,9 Mb
Release : 2018-05-25
Category : Computers
ISBN : 9780262344128

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How to Design Programs, second edition by Matthias Felleisen,Robert Bruce Findler,Matthew Flatt,Shriram Krishnamurthi Pdf

A completely revised edition, offering new design recipes for interactive programs and support for images as plain values, testing, event-driven programming, and even distributed programming. This introduction to programming places computer science at the core of a liberal arts education. Unlike other introductory books, it focuses on the program design process, presenting program design guidelines that show the reader how to analyze a problem statement, how to formulate concise goals, how to make up examples, how to develop an outline of the solution, how to finish the program, and how to test it. Because learning to design programs is about the study of principles and the acquisition of transferable skills, the text does not use an off-the-shelf industrial language but presents a tailor-made teaching language. For the same reason, it offers DrRacket, a programming environment for novices that supports playful, feedback-oriented learning. The environment grows with readers as they master the material in the book until it supports a full-fledged language for the whole spectrum of programming tasks. This second edition has been completely revised. While the book continues to teach a systematic approach to program design, the second edition introduces different design recipes for interactive programs with graphical interfaces and batch programs. It also enriches its design recipes for functions with numerous new hints. Finally, the teaching languages and their IDE now come with support for images as plain values, testing, event-driven programming, and even distributed programming.

Author : Adam James Chlipala
Publisher : Unknown
Page : 492 pages
File Size : 53,9 Mb
Release : 2007
Category : Electronic
ISBN : UCAL:C3484117

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Implementing Certified Programming Language Tools in Dependent Type Theory by Adam James Chlipala Pdf

Author : Stefano Berardi
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 51,8 Mb
Release : 2004-06-15
Category : Computers
ISBN : 9783540221647

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Types for Proofs and Programs by Stefano Berardi Pdf

This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop of the Types Working Group, TYPES 2003, held in Torino, Italy in April/May 2003. The 25 revised full papers presented were carefully selected during two rounds of reviewing and improvement. All current issues in type theory and type systems and their applications to programming, systems design, and proof theory are addressed. Among the systems dealt with are Isabelle/Isar, PAF!, and Coq.

Author : James Blum,Jonathan Duggins
Publisher : SAS Institute
Page : 342 pages
File Size : 52,5 Mb
Release : 2019-07-27
Category : Computers
ISBN : 9781635266696

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Fundamentals of Programming in SAS by James Blum,Jonathan Duggins Pdf

Unlock the essentials of SAS programming! Fundamentals of Programming in SAS: A Case Studies Approach gives a complete introduction to SAS programming. Perfect for students, novice SAS users, and programmers studying for their Base SAS certification, this book covers all the basics, including: working with data creating visualizations data validation good programming practices Experienced programmers know that real-world scenarios require practical solutions. Designed for use in the classroom and for self-guided learners, this book takes a novel approach to learning SAS programming by following a single case study throughout the text and circling back to previous concepts to reinforce material. Readers will benefit from the variety of exercises, including both multiple choice questions and in-depth case studies. Additional case studies are also provided online for extra practice. This approach mirrors the way good SAS programmers develop their skills—through hands-on work with an eye toward developing the knowledge necessary to tackle more difficult tasks. After reading this book, you will gain the skills and confidence to take on larger challenges with the power of SAS.

Author : Tobias Nipkow,Gerwin Klein
Publisher : Springer
Page : 298 pages
File Size : 50,8 Mb
Release : 2014-12-03
Category : Computers
ISBN : 9783319105420

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Concrete Semantics by Tobias Nipkow,Gerwin Klein Pdf

Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.