Metamathematics, Machines and Godel's Proof

Metamathematics, Machines and Godel's Proof

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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 d...