Computational Logic and Set Theory

Applying Formalized Logic to Analysis

Nonfiction, Computers, Advanced Computing, Theory, Computer Science, General Computing
Cover of the book Computational Logic and Set Theory by Jacob T. Schwartz, Domenico Cantone, Eugenio G. Omodeo, Springer London
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Author: Jacob T. Schwartz, Domenico Cantone, Eugenio G. Omodeo ISBN: 9780857298089
Publisher: Springer London Publication: July 16, 2011
Imprint: Springer Language: English
Author: Jacob T. Schwartz, Domenico Cantone, Eugenio G. Omodeo
ISBN: 9780857298089
Publisher: Springer London
Publication: July 16, 2011
Imprint: Springer
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 ÆtnaNova 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 ÆtnaNova 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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