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Describes the use of computer programs to check several proofs in the foundations of mathematics.
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Descrizione del libro
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.
Contenuti
1. Introduction; 2. The statement of the incompleteness theorem; 3. Derived inference rules; 4. The representability of metatheory; 5. The undecidable sentence; 6. A mechanical proof of the Church–Rosser theorem; 7. Conclusions.
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Metamathematics, Machines and G�del's Proof (Paperback or Softback)
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Cambridge University Press 1/30/1997, 1997
ISBN 10: 0521585333
ISBN 13: 9780521585330
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Paperback or Softback. Condizione: New. Metamathematics, Machines and G�del's Proof 0.86. Book. Codice articolo BBS-9780521585330
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
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Metamathematics, Machines and Goedel's Proof
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Cambridge University Press, 1997
ISBN 10: 0521585333
ISBN 13: 9780521585330
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Metamathematics, Machines and GÃ del's Proof
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Paperback. Condizione: Brand New. reprint edition. 202 pages. 10.00x7.00x0.50 inches. In Stock. This item is printed on demand. Codice articolo __0521585333
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
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Metamathematics, Machines and Godel\ s Proof
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Condizione: 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 . Codice articolo 446941150
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Metamathematics, Machines and Godel's Proof
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Cambridge University Press, 1997
ISBN 10: 0521585333
ISBN 13: 9780521585330
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Taschenbuch. Condizione: 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. Codice articolo 9780521585330
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Metamathematics, Machines and Godel's Proof (Paperback)
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Cambridge University Press, Cambridge, 1997
ISBN 10: 0521585333
ISBN 13: 9780521585330
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Paperback. Condizione: 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. Codice articolo 9780521585330
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Metamathematics, Machines and Godel's Proof (Paperback)
Editore:
Cambridge University Press, Cambridge, 1997
ISBN 10: 0521585333
ISBN 13: 9780521585330
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Paperback. Condizione: 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. Codice articolo 9780521585330
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Metamathematics, Machines and Gödel's Proof (Cambridge Tracts in Theoretical Computer Science, Series Number 38)
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Condizione: New. Codice articolo ABLIING23Feb2416190008297
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