Interactive Theorem Proving and Program Development

Interactive Theorem Proving and Program Development
Author :
Publisher : Springer Science & Business Media
Total Pages : 492
Release :
ISBN-10 : 9783662079645
ISBN-13 : 366207964X
Rating : 4/5 (45 Downloads)

Synopsis Interactive Theorem Proving and Program Development by : Yves Bertot

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.

Certified Programming with Dependent Types

Certified Programming with Dependent Types
Author :
Publisher : MIT Press
Total Pages : 437
Release :
ISBN-10 : 9780262317887
ISBN-13 : 0262317885
Rating : 4/5 (87 Downloads)

Synopsis Certified Programming with Dependent Types by : Adam Chlipala

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.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer
Total Pages : 572
Release :
ISBN-10 : 9783319089706
ISBN-13 : 3319089706
Rating : 4/5 (06 Downloads)

Synopsis Interactive Theorem Proving by : Gerwin Klein

This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer Science & Business Media
Total Pages : 505
Release :
ISBN-10 : 9783642140518
ISBN-13 : 3642140513
Rating : 4/5 (18 Downloads)

Synopsis Interactive Theorem Proving by : Matt Kaufmann

The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer
Total Pages : 550
Release :
ISBN-10 : 9783319661070
ISBN-13 : 3319661078
Rating : 4/5 (70 Downloads)

Synopsis Interactive Theorem Proving by : Mauricio Ayala-Rincón

This book constitutes the refereed proceedings of the 8th International Conference on Interactive Theorem Proving, ITP 2017, held in Brasilia, Brazil, in September 2017. The 28 full papers, 2 rough diamond papers, and 3 invited talk papers presented were carefully reviewed and selected from 65 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer
Total Pages : 508
Release :
ISBN-10 : 9783642396342
ISBN-13 : 3642396348
Rating : 4/5 (42 Downloads)

Synopsis Interactive Theorem Proving by : Sandrine Blazy

This book constitutes the refereed proceedings of the 4th International Conference on Interactive Theorem Proving, ITP 2013, held in Rennes, France, in July 2013. The 26 regular full papers presented together with 7 rough diamond papers, 3 invited talks, and 2 invited tutorials were carefully reviewed and selected from 66 submissions. The papers are organized in topical sections such as program verfication, security, formalization of mathematics and theorem prover development.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer
Total Pages : 657
Release :
ISBN-10 : 9783319948218
ISBN-13 : 3319948210
Rating : 4/5 (18 Downloads)

Synopsis Interactive Theorem Proving by : Jeremy Avigad

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.

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer
Total Pages : 514
Release :
ISBN-10 : 9783319431444
ISBN-13 : 3319431447
Rating : 4/5 (44 Downloads)

Synopsis Interactive Theorem Proving by : Jasmin Christian Blanchette

This book constitutes the refereed proceedings of the 7th International Conference on Interactive Theorem Proving, ITP 2016, held in Nancy, France, in August 2016. The 27 full papers and 5 short papers presented were carefully reviewed and selected from 55 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.

Type-Driven Development with Idris

Type-Driven Development with Idris
Author :
Publisher : Simon and Schuster
Total Pages : 744
Release :
ISBN-10 : 9781638352242
ISBN-13 : 1638352240
Rating : 4/5 (42 Downloads)

Synopsis Type-Driven Development with Idris by : Edwin Brady

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

Interactive Theorem Proving

Interactive Theorem Proving
Author :
Publisher : Springer Science & Business Media
Total Pages : 394
Release :
ISBN-10 : 9783642228629
ISBN-13 : 3642228623
Rating : 4/5 (29 Downloads)

Synopsis Interactive Theorem Proving by : Marko Van Eekelen

This book constitutes the refereed proceedings of the Second International Conference on Interactive Theorem proving, ITP 2011, held in Berg en Dal, The Netherlands, in August 2011. The 25 revised full papers presented were carefully reviewed and selected from 50 submissions. Among the topics covered are counterexample generation, verification, validation, term rewriting, theorem proving, computability theory, translations from one formalism to another, and cooperation between tools. Several verification case studies were presented, with applications to computational geometry, unification, real analysis, etc.