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The Seventeen Provers of the World: Foreword by Dana S. Scott (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence)
 
 
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The Seventeen Provers of the World: Foreword by Dana S. Scott (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence) [Paperback]

Freek Wiedijk (Editor)

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Book Description

March 16, 2006 Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence (Book 3600)
Commemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog.

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Review

From the reviews: "The central idea of the book is to provide a comparison–somehow on the surface–of different proof systems. … the book is accessible to everybody with elementary school knowledge of mathematics. … this book is a must for everybody developing a proof system. … Everybody who uses (or like to use) a theorem prover will find it useful. … it is essential to locate your prover in the world of theorem proving." (Reinhard Kahle, Studia Logica, Vol. 87, 2007)

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
people behind the system, main user communities, simp add, blast dest, prover modules, books about the system, proof planning, proof script, proof situation, proof object, mathematical formalizations, implementation architecture, specific proof, proof assistants, simplify simplify, proof development, auxiliary lemma, induction scheme
Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Seventeen Provers of the World, Georges Gonthier, Springer-Verlag Berlin Heidelberg, Common Lisp, Laurent Théry, Lecture Notes, Markus Wenzel, Thierry Coquand, Andrzej Trybulec, Another Formalization, John Harrison, Henk Barendregt, Pierre Letouzey, Springer Verlag, Artificial Intelligence, Elementary Reasoner, Formal Text Language, Four Color Theorem, Freek Wiedijk, Rob Arthan, Robert Pollack, Tobias Nipkow, User's Manual, Andreas Meier, Armin Fiedler
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