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Computational Logic and Set Theory

Computational Logic and Set Theory

Domenico Cantone / Eugenio G. Omodeo / Jacob T. Schwartz

65,59 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Ciencias de la computación
ISBN:
9781447160182
65,59 €
IVA incluido
Disponible

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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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  • Computational Logic and Set Theory
    Domenico Cantone / Eugenio G. Omodeo / Jacob T. Schwartz
    IntroductionPropositional and Predicate-Calculus PreliminariesA Survey of Inference MechanismsMore on the Structure of the Verifier SystemA Closer Examination of the Sequence of Definitions and Theorems Presented in this BookUndecidability and Unsolvability ...