Computational Logic and Set Theory

Applying Formalized Logic to Analysis
2011
ISBN: 978-1-4471-6018-2
Verlag: Springer

Buch, Englisch, 416 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 657 g

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Schwartz, Jacob T.

Cantone, Domenico

Omodeo, Eugenio G.

Weitere Mitwirkende

Davis, Martin

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

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.