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

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Artificial Intelligence ; 3600Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006Edition: 1st ed. 2006Description: XVI, 162 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540328889

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

006.3 23

LOC classification:

Q334-342
TA347.A78

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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