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Computational Logic and Set Theory: Applying Formalized Logic to Analysis
Hardcover
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ISBN10: 0857298070
ISBN13: 9780857298072
Publisher: Springer Nature
Published: Jul 16 2011
Pages: 416
Weight: 1.70
Height: 1.50 Width: 6.40 Depth: 9.30
Language: English
ISBN13: 9780857298072
Publisher: Springer Nature
Published: Jul 16 2011
Pages: 416
Weight: 1.70
Height: 1.50 Width: 6.40 Depth: 9.30
Language: English
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the tnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn's lemma.
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