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Program Proofs

2023-03-07 Computers
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Release : 2023-03-07
Genre : Computers
Kind : eBook
Book Rating : 23X/5 ( reviews)

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Book Synopsis Program Proofs by : K. Rustan M. Leino

Download or read book Program Proofs written by K. Rustan M. Leino. This book was released on 2023-03-07. Available in PDF, EPUB and Kindle. Book excerpt: 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

Program = Proof

2020-07-03
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Release : 2020-07-03
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Program = Proof by : Samuel Mimram

Download or read book Program = Proof written by Samuel Mimram. This book was released on 2020-07-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Certified Programming with Dependent Types

2013-12-06 Computers
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Release : 2013-12-06
Genre : Computers
Kind : eBook
Book Rating : 885/5 ( reviews)

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Book Synopsis Certified Programming with Dependent Types by : Adam Chlipala

Download or read book Certified Programming with Dependent Types written by Adam Chlipala. This book was released on 2013-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

1994-05-20 Computers
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Release : 1994-05-20
Genre : Computers
Kind : eBook
Book Rating : 850/5 ( reviews)

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Book Synopsis Types for Proofs and Programs by : Hendrik Pieter Barendregt

Download or read book Types for Proofs and Programs written by Hendrik Pieter Barendregt. This book was released on 1994-05-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Certified Programs and Proofs

2011-11-18 Business & Economics
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Release : 2011-11-18
Genre : Business & Economics
Kind : eBook
Book Rating : 784/5 ( reviews)

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Book Synopsis Certified Programs and Proofs by : Jean-Pierre Jouannaud

Download or read book Certified Programs and Proofs written by Jean-Pierre Jouannaud. This book was released on 2011-11-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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