Program Proofs

Author : K. Rustan M. Leino
Publisher : MIT Press
Page : 498 pages
File Size : 52,5 Mb
Release : 2023-03-07
Category : Computers
ISBN : 9780262375429

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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

Author : K. Rustan M. Leino
Publisher : MIT Press
Page : 498 pages
File Size : 52,6 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

Author : Samuel Mimram
Publisher : Unknown
Page : 539 pages
File Size : 50,8 Mb
Release : 2020-07-03
Category : Electronic
ISBN : 9798615591839

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Program = Proof by Samuel Mimram Pdf

This course provides a first introduction to the Curry-Howard correspondence between programs and proofs, from a theoretical programmer's perspective: we want to understand the theory behind logic and programming languages, but also to write concrete programs (in OCaml) and proofs (in Agda). After an introduction to functional programming languages, we present propositional logic, λ-calculus, the Curry-Howard correspondence, first-order logic, Agda, dependent types and homotopy type theory.

Author : Hendrik Pieter Barendregt,Tobias Nipkow
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 41,8 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.

Author : Jean-Pierre Jouannaud,Zhong Shao
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 49,6 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.

Author : Ralph Matthes,Aleksy Schubert
Publisher : BoD – Books on Demand
Page : 282 pages
File Size : 42,8 Mb
Release : 2014-07-31
Category : Computers
ISBN : 9783735756862

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Types for Proofs and Programs by Ralph Matthes,Aleksy Schubert Pdf

In this LIPIcs proceedings one can find research papers on the following topics: analysis of the classical principles in intuitionistic calculi, type isomorphisms for intersection types, monads and their semantics in functional programming languages, realizability, extensions of type theory, extensions of linear logic, models of type theory, control operators in type systems, formal verification of programs, program extraction, compiler formalization and modelling of natural language features. All papers obtained at least two reviews, and up to six reviews, counting a second round of review.

Author : Herman Geuvers,Freek Wiedijk
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 45,8 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.

Author : Iman Poernomo,John N. Crossley,Martin Wirsing
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 54,9 Mb
Release : 2007-04-27
Category : Computers
ISBN : 9780387281834

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Adapting Proofs-as-Programs by Iman Poernomo,John N. Crossley,Martin Wirsing Pdf

This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.

Author : Georges Gonthier,Michael Norrish
Publisher : Springer
Page : 318 pages
File Size : 52,6 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 : Marino Miculan,Ivan Scagnetto,Furio Honsell
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 49,5 Mb
Release : 2008-05-26
Category : Computers
ISBN : 9783540680840

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Types for Proofs and Programs by Marino Miculan,Ivan Scagnetto,Furio Honsell Pdf

This book constitutes the thoroughly refereed post-conference proceedings of TYPES 2007, the concluding conference of the Types project, held in Cividale del Friuli, Italy, in May 2007. The 13 revised full papers presented were carefully reviewed and selected from 22 submissions. The topic of this last annual workshop of the Types Working Group was formal reasoning and computer programming based on type theory. Great importance was attached to languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalization of mathematics and mathematics education.

Author : Paul Callaghan,Zhaohui Luo,James McKinna,Robert Pollack
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 46,7 Mb
Release : 2002-02-20
Category : Computers
ISBN : 9783540432876

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Types for Proofs and Programs by Paul Callaghan,Zhaohui Luo,James McKinna,Robert Pollack Pdf

This book constitutes the thoroughly refereed post-proceedings of the International Workshop of the TYPES Working Group, TYPES 2000, held in Durham, UK in December 2000. The 15 revised full papers presented were carefully reviewed and selected during two rounds of refereeing and revision. All current issues on type theory and type systems and their applications to programming, systems design, and proof theory are addressed.

Author : Bertrand Meyer,Yuri Gurevich
Publisher : Springer
Page : 217 pages
File Size : 49,7 Mb
Release : 2007-08-26
Category : Computers
ISBN : 9783540737704

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Tests and Proofs by Bertrand Meyer,Yuri Gurevich Pdf

Readers will find here a book that constitutes the thoroughly refereed post-proceedings of the First International Conference on Test and Proofs, held in Zurich, Switzerland in February 2007. The 12 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers are devoted to the convergence of software proofing and testing and feature current research work that combines ideas from both sides to foster software quality.

Author : Adam Chlipala
Publisher : MIT Press
Page : 437 pages
File Size : 49,6 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.

Author : Matthias Felleisen,Philippa Gardner
Publisher : Springer
Page : 635 pages
File Size : 40,7 Mb
Release : 2013-03-02
Category : Computers
ISBN : 9783642370366

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Programming Languages and Systems by Matthias Felleisen,Philippa Gardner Pdf

This book constitutes the refereed proceedings of the 22nd European Symposium on Programming, ESOP 2013, held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, which took place in Rome, Italy, in March 2013. The 31 papers, presented together with a full-length invited talk, were carefully reviewed and selected from 120 full submissions. The contributions have been organized according to ten topical sections on programming techniques; programming tools; separation logic; gradual typing; shared-memory concurrency and verification; process calculi; taming concurrency; model checking and verification; weak-memory concurrency and verification; and types, inference, and analysis.

Author : William E. Howden
Publisher : Unknown
Page : 38 pages
File Size : 49,6 Mb
Release : 1988
Category : Electronic
ISBN : UCSD:31822023370836

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Program Testing Versus Proofs of Correctness by William E. Howden Pdf