Articles liés à Metamaths, Machines & Godel's Proof
Synopsis
Describes the use of computer programs to check several proofs in the foundations of mathematics.
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Présentation de l'éditeur
Mathematicians from Leibniz to Hilbert have sought to mechanise the verification of mathematical proofs. Developments arising out of Gödel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics. In practice, however, there are a number of sophisticated automated reasoning programs that are quite effective at checking mathematical proofs. Now in paperback, this book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including Gödel's incompleteness theorem and the Church–Rosser theorem. The computer verification using the Boyer–Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanisation of metamathematics itself has important implications for automated reasoning since metatheorems can be applied by labour-saving devices to simplify proof construction. The book should be accessible to scientists and philosophers with some knowledge of logic and computing.
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- ÉditeurCambridge University Press
- Date d'édition2008
- ISBN 10 0521585333
- ISBN 13 9780521585330
- ReliureBroché
- Langueanglais
- Nombre de pages220
- Coordonnées du fabricantnon disponible
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
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Cambridge University Press, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
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Metamathematics, Machines and Goedel's Proof
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ISBN 13 : 9780521585330
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
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Cambridge University Press, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
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Metamathematics, Machines and GÃ del's Proof
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Metamathematics, Machines and Godel\ s Proof
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Describes the use of computer programs to check several proofs in the foundations of mathematics.Inhaltsverzeichnis1. Introduction 2. The statement of the incompleteness theorem 3. Derived inference rules 4. The representability . N° de réf. du vendeur 446941150
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Metamathematics, Machines and Godel's Proof
Edité par
Cambridge University Press, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Gö del's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Gö del and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction. N° de réf. du vendeur 9780521585330
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Metamathematics, Machines and Godel's Proof (Paperback)
Edité par
Cambridge University Press, Cambridge, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
Paperback
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Paperback. Etat : new. Paperback. The automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Godel's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Godel and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction. The automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Godel's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Godel and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521585330
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Metamathematics, Machines and Godel's Proof (Paperback)
Edité par
Cambridge University Press, Cambridge, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
Paperback
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Paperback. Etat : new. Paperback. The automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Godel's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Godel and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction. The automatic verification of large parts of mathematics has been an aim of many mathematicians from Leibniz to Hilbert. While Godel's first incompleteness theorem showed that no computer program could automatically prove certain true theorems in mathematics, the advent of electronic computers and sophisticated software means in practice there are many quite effective systems for automated reasoning that can be used for checking mathematical proofs. This book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including those of Godel and Church-Rosser. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanization of metamathematics itself has important implications for automated reasoning, because metatheorems can be applied as labor-saving devices to simplify proof construction. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521585330
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
Edité par
Cambridge University Press, 1997
ISBN 10 : 0521585333
ISBN 13 : 9780521585330
Neuf
Couverture souple
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