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Author : Yves Bertot
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 44,31 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 366207964X
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 : Johann M. Schumann
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 11,5 MB
Release : 2013-06-29
Category : Computers
ISBN : 3662226464
Growing demands for the quality, safety, and security of software can only be satisfied by the rigorous application of formal methods during software design. This book methodically investigates the potential of first-order logic automated theorem provers for applications in software engineering. Illustrated by complete case studies on protocol verification, verification of security protocols, and logic-based software reuse, this book provides techniques for assessing the prover's capabilities and for selecting and developing an appropriate interface architecture.
Author : Florian Kammüller
Publisher : VDM Publishing
Page : 120 pages
File Size : 45,51 MB
Release : 2008
Category : Computers
ISBN : 9783836457699
Interactive theorem proving is the modern way of formalizing mathematics using a computer as a proof assistant, helping solve simple tasks and keeping an order on the proofs. As it is an overwhelming task to prove a program correct or prove that an implementation conforms to its UML-specification, this book draws a line to show up how far current cutting edge research has succeeded in tackling this problem. Using examples from algorithm development, Java bytecode verification and UML state machine analysis the author introduces current trends in interactive theorem proving technology using Coq, Isabelle, and model checking. -- from back cover.
Author : Lennart Beringer
Publisher : Springer
Page : 429 pages
File Size : 40,94 MB
Release : 2012-08-10
Category : Mathematics
ISBN : 3642323472
This book constitutes the thoroughly refereed proceedings of the Third International Conference on Interactive Theorem Proving, ITP 2012, held in Princeton, NJ, USA, in August 2012. The 21 revised full papers presented together with 4 rough diamond papers, 3 invited talks, and one invited tutorial were carefully reviewed and selected from 40 submissions. Among the topics covered are formalization of mathematics; program abstraction and logics; data structures and synthesis; security; (non-)termination and automata; program verification; theorem prover development; reasoning about program execution; and prover infrastructure and modeling styles.
Author : Sandrine Blazy
Publisher : Springer
Page : 508 pages
File Size : 20,76 MB
Release : 2013-07-22
Category : Mathematics
ISBN : 3642396348
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.
Author : Jasmin Christian Blanchette
Publisher : Springer
Page : 514 pages
File Size : 31,25 MB
Release : 2016-08-08
Category : Mathematics
ISBN : 3319431447
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.
Author : Christian Urban
Publisher : Springer
Page : 479 pages
File Size : 46,53 MB
Release : 2015-08-18
Category : Mathematics
ISBN : 3319221027
This book constitutes the proceedings of the 6th International Conference on Interactive Theorem Proving, ITP 2015, held in Nanjing, China, in August 2015. The 27 papers presented in this volume were carefully reviewed and selected from 54 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.
Author : Jeremy Avigad
Publisher : Springer
Page : 657 pages
File Size : 35,61 MB
Release : 2018-07-03
Category : Mathematics
ISBN : 3319948210
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 : Mauricio Ayala-Rincón
Publisher : Springer
Page : 550 pages
File Size : 32,35 MB
Release : 2017-09-04
Category : Mathematics
ISBN : 3319661078
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.
Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 48,4 MB
Release : 2013-12-06
Category : Computers
ISBN : 0262317885
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.