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The Seventeen Provers of the World [electronic resource] : Foreword by Dana S. Scott / edited by Freek Wiedijk.

Contributor(s): Wiedijk, Freek [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Artificial Intelligence: 3600Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006Edition: 1st ed. 2006.Description: XVI, 162 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540328889.Subject(s): Artificial intelligence | Software engineering | Machine theory | Artificial Intelligence | Software Engineering | Formal Languages and Automata TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
Contents:
Informal -- HOL -- Mizar -- PVS -- Coq -- Otter/Ivy -- Isabelle/Isar -- Alfa/Agda -- ACL2 -- PhoX -- IMPS -- Metamath -- Theorema -- Lego -- Nuprl -- ?mega -- B Method -- Minlog.
In: Springer Nature eBookSummary: 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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Informal -- HOL -- Mizar -- PVS -- Coq -- Otter/Ivy -- Isabelle/Isar -- Alfa/Agda -- ACL2 -- PhoX -- IMPS -- Metamath -- Theorema -- Lego -- Nuprl -- ?mega -- B Method -- Minlog.

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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