Logic of Arithmetic: 1st Edition (Paperback) book cover

Logic of Arithmetic

1st Edition

By Walter Felscher

CRC Press

312 pages

Purchasing Options:$ = USD
Paperback: 9780367398576
pub: 2019-09-05
SAVE ~$14.99
Hardback: 9789056992682
pub: 2000-05-30
SAVE ~$27.00
eBook (VitalSource) : 9780429080272
pub: 2000-05-30
from $28.98

FREE Standard Shipping!


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.

Table of Contents

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

About the Author

Felscher, Walter

Subject Categories

BISAC Subject Codes/Headings: