Computational Logic and Set Theory

This book PDF is perfect for those who love Computers genre, written by Jacob T. Schwartz and published by Springer Science & Business Media which was released on 16 July 2011 with total hardcover pages 416. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Computational Logic and Set Theory books below.

Computational Logic and Set Theory
Author : Jacob T. Schwartz
File Size : 54,6 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 16 July 2011
ISBN : 0857298089
Pages : 416 pages
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Computational Logic and Set Theory by Jacob T. Schwartz Book PDF Summary

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.

Computational Logic and Set Theory

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

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This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is

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Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results

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