Computational logic and set theory : applying formalized logic to analysis
著者
書誌事項
Computational logic and set theory : applying formalized logic to analysis
, c2011
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注記
Includes bibliographical references and index
Forward by Martin Davis
内容説明・目次
内容説明
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 AEtnaNova 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.
目次
Introduction
Propositional and Predicate-Calculus Preliminaries
A Survey of Inference Mechanisms
More on the Structure of the Verifier System
A Closer Examination of the Sequence of Definitions and Theorems Presented in this Book
Undecidability and Unsolvability
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