Adapting Proofs As Programs
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Adapting Proofs As Programs
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Author : Iman Poernomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-27
Adapting Proofs As Programs written by Iman Poernomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Computers categories.
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.
Kompendium Der Koronaren Herzkrankheit
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Author : Fred Sesto
language : en
Publisher:
Release Date : 1988
Kompendium Der Koronaren Herzkrankheit written by Fred Sesto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Coronary heart disease categories.
Program Proof
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Author : Samuel Mimram
language : en
Publisher:
Release Date : 2020-07-03
Program Proof written by Samuel Mimram and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-03 with categories.
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.
Types For Proofs And Programs
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Author : Stefano Berardi
language : en
Publisher: Springer
Release Date : 2009-06-07
Types For Proofs And Programs written by Stefano Berardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-07 with Computers categories.
These proceedings contain a selection of refereed papers presented at or - lated to the Annual Workshop of the TYPES project (EU coordination action 510996), which was held during March 26–29, 2008 in Turin, Italy. The topic of this workshop, and of all previous workshops of the same project, was f- mal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certi?ed software, mobile code, formali- tion of mathematics, mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had three invited lectures, from A. Asperti (University of Bologna), G. Dowek (LIX, Ecole polytechnique, France) and J. W. Klop (Vrije Universiteit, A- terdam, The Netherlands). From 27 submitted papers, 19 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the ?nal decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435).
Types For Proofs And Programs
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Author : Herman Geuvers
language : en
Publisher: Springer
Release Date : 2003-08-03
Types For Proofs And Programs written by Herman Geuvers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-03 with Computers categories.
These proceedings contain a refereed selection of papers presented at the Second Annual Workshop of the Types Working Group (Computer-Assisted Reasoning based on Type Theory, EUIST project 29001), which was held April 24–28, 2002 in Hotel Erica, Berg en Dal (close to Nijmegen), The Netherlands. The workshop was attended by about 90 researchers. On April 27, there was a special afternoon celebrating the 60th birthday of Per Martin-L ̈of, one of the founding fathers of the Types community. The afternoon consisted of the following three invited talks: “Constructive Validity Revisited” by Dana Scott, “From the Rules of Logic to the Logic of Rules” by Jean-Yves Girard, and “The Varieties of Type Theories” by Peter Aczel. The contents of these contributions were not laid down in these proceedings, but the videos of the talks and the slides used by the speakers are available at http://www. cs. kun. nl/fnds/MartinLoefDay/LoefTalks. htm The previous workshop of the Types Working Group under EUIST project 29001 was held in 2000 in Durham, UK. The workshops Types 2000 and Types 2002 followed a series of meetings organized in the period 1993 – 1999 whithin previous Types projects (ESPRIT BRA 6435 and ESPRIT Working Group 21900). The proceedings of these earlier Types workshops were also published in the LNCS series, as volumes 806, 996, 1158, 1512, 1657, 1956 and 2277. ESPRIT BRA 6453 was a continuation of ESPRIT Action 3245, Logical Frameworks: - sign, Implementation and Experiments.
Variations On A Theme Of Curry And Howard
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Author : Iman Hafiz Poernomo
language : en
Publisher:
Release Date : 2003
Variations On A Theme Of Curry And Howard written by Iman Hafiz Poernomo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Automatic theorem proving categories.
Types For Proofs And Programs
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Author : Stefano Berardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-15
Types For Proofs And Programs written by Stefano Berardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-15 with Computers categories.
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.
Types For Proofs And Programs
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Author : Stefano Berardi
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-10-02
Types For Proofs And Programs written by Stefano Berardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-02 with Computers categories.
This volume contains a refereed selection of revised full papers chosen from the contributions presented during the Third Annual Workshop held under the auspices of the ESPRIT Basic Research Action 6453 Types for Proofs and Programs. The workshop took place in Torino, Italy, in June 1995. Type theory is a formalism in which theorems and proofs, specifications and programs can be represented in a uniform way. The 19 papers included in the book deal with foundations of type theory, logical frameworks, and implementations and applications; all in all they constitute a state-of-the-art survey for the area of type theory.
Paraconsistency
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Author : Walter Alexandr Carnielli
language : en
Publisher: CRC Press
Release Date : 2002-04-10
Paraconsistency written by Walter Alexandr Carnielli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-10 with Mathematics categories.
This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.
Program Proofs
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Author : K. Rustan M. Leino
language : en
Publisher: National Geographic Books
Release Date : 2023-03-07
Program Proofs written by K. Rustan M. Leino and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-07 with Computers categories.
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