Logic of Arithmetic
Seiten
2019
CRC Press (Verlag)
978-0-367-39857-6 (ISBN)
CRC Press (Verlag)
978-0-367-39857-6 (ISBN)
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 | 01.10.2019 |
---|---|
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 |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
World Scientific Publishing Co Pte Ltd (Verlag)
31,15 €
what we have that machines don't
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
13,70 €
how simple questions lead us to mathematics’ deepest truths
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
13,70 €