عنوان

Computational logic and set theory :

(Number (ISBN

0857298089

(Number (ISBN

9780857298089

Erroneous ISBN

9780857298072

Number

dltt

Title Proper

Computational logic and set theory :

General Material Designation

[Book]

Other Title Information

applying formalized logic to analysis /

First Statement of Responsibility

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

Specific Material Designation and Extent of Item

1 online resource (xvii, 416 pages)

Text of Note

Includes bibliographical references and index

Text of Note

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

0

Text of Note

As computer software becomes more complex, the question of how its correctness can be assured grows ever more critical. Formal logic embodied in computer programs is an important part of the answer to this problem. 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. Taking a systematic approach, the book begins with a survey of traditional branches of logic before describing in detail the underlying design of the ÆtnaNova system. Major classical results on undecidability and unsolvability are then recast for this system. Readers do not require great knowledge of formal logic in order to follow the text, but a good understanding of standard programming techniques, and a familiarity with mathematical definitions and proofs reflecting the usual levels of rigor is assumed. Topics and features: With a Foreword by Dr. Martin Davis, Professor Emeritus of the Courant Institute of Mathematical Sciences, New York University 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 on the large scale 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 This ground-breaking work is essential reading for researchers and advanced graduates of computer science

Title

Computational logic and set theory.

Set theory

Number

Edition

Class number

Book number

Schwartz, Jacob T

Cantone, Domenico

Omodeo, Eugenio

Date of Transaction

20170726082050.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y