Logic of Arithmetic - Walter Felscher

Logic of Arithmetic

(Autor)

Buch | Softcover
312 Seiten
2019
CRC Press (Verlag)
978-0-367-39857-6 (ISBN)
77,30 inkl. MwSt
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.

Felscher, Walter

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

Erscheinungsdatum
Verlagsort London
Sprache englisch
Maße 152 x 229 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-367-39857-5 / 0367398575
ISBN-13 978-0-367-39857-6 / 9780367398576
Zustand Neuware
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