Logic of Arithmetic
1st Edition
Published on 30. May 2000
Book
Hardback
312 pages
978-90-5699-268-2 (ISBN)
Description
For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulas. This volume begins with a method to decide this for the quantified formulas of those fragments of arithmetic which express the properties of order-plus-successor and of order-plus-addition (Pressburger arithmetic). It makes use of an algorithm eliminating quantifiers which, in turn, is also applied to obtain consistency proofs for these fragments.
More details
Language
English
Place of publication
London
United Kingdom
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 21 mm
Weight
605 gr
ISBN-13
978-90-5699-268-2 (9789056992682)
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Schweitzer Classification
Other editions
Additional editions
Walter Felscher
Logic of Arithmetic
Book
09/2019
1st Edition
CRC Press
€96.20
Shipment within 15-20 days
Person
Felscher, Walter
Content
1. Consistency, Decidability, Completeness for the Arithmetic of Order with Successor 2. Consistency, Decidability, Completeness for the Arithmetic of Addition and Order 3. Antinomies, Pseudomenos, and Their Analysis 4. Undefinability and Incompleteness, General Theory 5.Elementary and Primitive Recursive Functions 6. Recursive Relations and Recursive Functions 7. The Arithmitization of Syntax 8. Consequences of Arithmetization 9. Axioms for Arithmetic 10. Peano Arithmetic PA and Its Expansion PR 11. Unprovability of Consistency