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Focusing on the groundbreaking contributions of Professor Jacob T. Schwartz, this text explores computational logic and set theory through the lens of proof verification techniques. It introduces the ÆtnaNova system, a prototype for verifying mathematical proofs in set theory. Key topics include leveraging first-order theories for reasoning in computer science and mathematics, automated proof verification for large software systems, and critical proof-engineering issues. An appendix provides formalized proofs of ordinals, transitive closure properties, induction principles, and Zorn's lemma.
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Computational Logic and Set Theory, Jacob T. Schwartz, Domenico Cantone, Eugenio G. Omodeo
- Language
- Released
- 2011
- product-detail.submit-box.info.binding
- (Hardcover)
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- Title
- Computational Logic and Set Theory
- Subtitle
- Applying Formalized Logic to Analysis
- Language
- English
- Publisher
- Springer London
- Released
- 2011
- Format
- Hardcover
- Pages
- 436
- ISBN13
- 9780857298072
- Category
- Computers, IT, Programming
- Description
- Focusing on the groundbreaking contributions of Professor Jacob T. Schwartz, this text explores computational logic and set theory through the lens of proof verification techniques. It introduces the ÆtnaNova system, a prototype for verifying mathematical proofs in set theory. Key topics include leveraging first-order theories for reasoning in computer science and mathematics, automated proof verification for large software systems, and critical proof-engineering issues. An appendix provides formalized proofs of ordinals, transitive closure properties, induction principles, and Zorn's lemma.