Computational Logic and Set Theory

Applying Formalized Logic to Analysis

AvJacob T. Schwartz,Domenico Cantone

Inbunden, Engelska, 2011

552 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-07-16
Mått:155 x 235 x 30 mm
Vikt:824 g
Format:Inbunden
Språk:Engelska
Antal sidor:416
Upplaga:2011
Förlag:Springer London Ltd
Medarbetare:Davis,Martin
ISBN:9780857298072

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Recensioner i media

From the book reviews: "This is a text defining new formulae, theorems, lemmas, and sublanguages. Partition calculus and subset theory is well developed. ... I recommend this book to all students and logicians." (Joseph J. Grenier, Amazon.com, August, 2014) "The contents of the book makes it inspiring and interesting both to mathematicians and to computer scientists. ... This is one of a few recent books which promise to both make mathematicians aware of the possibilities opened by the recent progress in automated theorem proving and draw the attention of the researchers working in logic and automated theorem proving to the challenges and possibilities raised by interesting problems in mathematics." (Viorica Sofronie-Stokkermans, Zentralblatt MATH, Vol. 1246, 2012)

Innehållsförteckning

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.