Certified Programs And Proofs

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Certified Programs and Proofs

Jean-Pierre Jouannaud,Zhong Shao
Certified Programs and Proofs Book PDF

Author : Jean-Pierre Jouannaud,Zhong Shao
Publisher : Springer
Page : 401 pages
File Size : 55,5 Mb
Release : 2011-11-15
Category : Computers
ISBN : 9783642253799

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Certified Programs and Proofs by Jean-Pierre Jouannaud,Zhong Shao Pdf

This book constitutes the referred proceedings of the First International Conference on Certified Programs and Proofs, CPP 2011, held in Kenting, Taiwan, in December 2011. The 24 revised regular papers presented together with 4 invited talks were carefully reviewed and selected from 49 submissions. They are organized in topical sections on logic and types, certificates, formalization, proof assistants, teaching, programming languages, hardware certification, miscellaneous, and proof perls.

Certified Programs and Proofs

Chris Hawblitzel,Dale Miller
Certified Programs and Proofs Book PDF

Author : Chris Hawblitzel,Dale Miller
Publisher : Springer
Page : 314 pages
File Size : 47,8 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.

Certified Programs and Proofs

Georges Gonthier,Michael Norrish
Certified Programs and Proofs Book PDF

Author : Georges Gonthier,Michael Norrish
Publisher : Springer
Page : 309 pages
File Size : 49,8 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.

Certified Programming with Dependent Types

Adam Chlipala
Certified Programming with Dependent Types Book PDF

Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 47,5 Mb
Release : 2013-12-06
Category : Computers
ISBN : 9780262317887

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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.

Certified Programs and Proofs

Jean-Pierre Jouannaud,Zhong Shao
Certified Programs and Proofs Book PDF

Author : Jean-Pierre Jouannaud,Zhong Shao
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 46,9 Mb
Release : 2011-11-18
Category : Business & Economics
ISBN : 9783642253782

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Certified Programs and Proofs by Jean-Pierre Jouannaud,Zhong Shao Pdf

This book constitutes the referred proceedings of the First International Conference on Certified Programs and Proofs, CPP 2011, held in Kenting, Taiwan, in December 2011. The 24 revised regular papers presented together with 4 invited talks were carefully reviewed and selected from 49 submissions. They are organized in topical sections on logic and types, certificates, formalization, proof assistants, teaching, programming languages, hardware certification, miscellaneous, and proof perls.

Types for Proofs and Programs

Herman Geuvers,Freek Wiedijk
Types for Proofs and Programs Book PDF

Author : Herman Geuvers,Freek Wiedijk
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 50,5 Mb
Release : 2003-04-28
Category : Computers
ISBN : 9783540140313

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Types for Proofs and Programs by Herman Geuvers,Freek Wiedijk Pdf

This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop of the TYPES Working Group, TYPES 2002, held in Berg en Dal, The Netherlands in April 2002. The 18 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 Coq and Isar/HOL.

Certified Programming with Dependent Types

Adam Chlipala
Certified Programming with Dependent Types Book PDF

Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 45,8 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.

Types for Proofs and Programs

Stefano Berardi
Types for Proofs and Programs Book PDF

Author : Stefano Berardi
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 48,5 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.

Program Logics for Certified Compilers

Andrew W. Appel
Program Logics for Certified Compilers Book PDF

Author : Andrew W. Appel
Publisher : Cambridge University Press
Page : 469 pages
File Size : 41,5 Mb
Release : 2014-04-21
Category : Computers
ISBN : 9781107048010

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Program Logics for Certified Compilers by Andrew W. Appel Pdf

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

Types for Proofs and Programs

Hendrik Pieter Barendregt,Tobias Nipkow
Types for Proofs and Programs Book PDF

Author : Hendrik Pieter Barendregt,Tobias Nipkow
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 51,8 Mb
Release : 1994-05-20
Category : Computers
ISBN : 3540580859

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Types for Proofs and Programs by Hendrik Pieter Barendregt,Tobias Nipkow Pdf

This volume contains thoroughly refereed and revised full papers selected from the presentations at the first workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs in Nijmegen, The Netherlands, in May 1993. As the whole ESPRIT BRA 6453, this volume is devoted to the theoretical foundations, design and applications of systems for theory development. Such systems help in designing mathematical axiomatisation, performing computer-aided logical reasoning, and managing databases of mathematical facts; they are also known as proof assistants or proof checkers.

Types for Proofs and Programs

Thorsten Altenkirch,Wolfgang Naraschewski,Bernhard Reus
Types for Proofs and Programs Book PDF

Author : Thorsten Altenkirch,Wolfgang Naraschewski,Bernhard Reus
Publisher : Springer
Page : 212 pages
File Size : 46,6 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540481676

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Types for Proofs and Programs by Thorsten Altenkirch,Wolfgang Naraschewski,Bernhard Reus Pdf

This book constitutes the strictly refereed post-workshop proceedings of the International Workshop on Types for Proofs and Programs, TYPES '98, held under the auspices of the ESPRIT Working Group 21900. The 14 revised full papers presented went through a thorough process of reviewing and revision and were selected from a total of 25 candidate papers. All current aspects of type theory and type systems and their relation to proof theory are addressed.

Computer Arithmetic and Formal Proofs

Sylvie Boldo,Guillaume Melquiond
Computer Arithmetic and Formal Proofs Book PDF

Author : Sylvie Boldo,Guillaume Melquiond
Publisher : Elsevier
Page : 326 pages
File Size : 40,9 Mb
Release : 2017-11-17
Category : Computers
ISBN : 9780081011706

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Computer Arithmetic and Formal Proofs by Sylvie Boldo,Guillaume Melquiond Pdf

Floating-point arithmetic is ubiquitous in modern computing, as it is the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and potentially lead to numerous failures. One way to greatly increase confidence in floating-point software is by computer-assisted verification of its correctness proofs. This book provides a comprehensive view of how to formally specify and verify tricky floating-point algorithms with the Coq proof assistant. It describes the Flocq formalization of floating-point arithmetic and some methods to automate theorem proofs. It then presents the specification and verification of various algorithms, from error-free transformations to a numerical scheme for a partial differential equation. The examples cover not only mathematical algorithms but also C programs as well as issues related to compilation. Describes the notions of specification and weakest precondition computation and their practical use Shows how to tackle algorithms that extend beyond the realm of simple floating-point arithmetic Includes real analysis and a case study about numerical analysis

Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification

Klaus Mainzer,Helmut Schwichtenberg,Peter Michael Schuster
Proof And Computation Ii From Proof Theory And Univalent Mathematics To Program Extraction And Verification Book PDF

Author : Klaus Mainzer,Helmut Schwichtenberg,Peter Michael Schuster
Publisher : World Scientific
Page : 425 pages
File Size : 49,6 Mb
Release : 2021-07-27
Category : Mathematics
ISBN : 9789811236495

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Proof And Computation Ii: From Proof Theory And Univalent Mathematics To Program Extraction And Verification by Klaus Mainzer,Helmut Schwichtenberg,Peter Michael Schuster Pdf

This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.

Program Proofs

K. Rustan M. Leino
Program Proofs Book PDF

Author : K. Rustan M. Leino
Publisher : MIT Press
Page : 498 pages
File Size : 40,7 Mb
Release : 2023-03-07
Category : Computers
ISBN : 9780262546232

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Program Proofs by K. Rustan M. Leino Pdf

This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and the verification-aware programming language Dafny. Program Proofs shows students what it means to write specifications for programs, what it means for programs to satisfy those specifications, and how to write proofs that connect specifications and programs. Writing with clarity and humor, K. Rustan M. Leino first provides an overview of the basic theory behind reasoning about programs. He then gradually builds up to complex concepts and applications, until students are facing real programs using objects, data structures, and non-trivial recursion. To emphasize the practical nature of program proofs, all material and examples use the verification-aware programming language Dafny, but no previous knowledge of Dafny is assumed. Written in a highly readable and student-friendly style Builds up to complex concepts in an incremental manner Comprehensively covers how to write proofs and how to specify and verify both functional programs and imperative programs Uses real program text from a real programming language, not psuedo code Features engaging illustrations and hands-on learning exercises

Proceedings of the 5th ACM SIGPLAN Conference on Certified Programs and Proofs

Jeremy Avigad
Proceedings of the 5th ACM SIGPLAN Conference on Certified Programs and Proofs Book PDF

Author : Jeremy Avigad
Publisher : Unknown
Page : 128 pages
File Size : 42,8 Mb
Release : 2016-01-20
Category : Computer science
ISBN : 1450341276

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Proceedings of the 5th ACM SIGPLAN Conference on Certified Programs and Proofs by Jeremy Avigad Pdf

CPP 2016: Certified Proofs and Programs Jan 20, 2016-Jan 22, 2016 Saint Petersburg, USA. You can view more information about this proceeding and all of ACM�s other published conference proceedings from the ACM Digital Library: http://www.acm.org/dl.