Logic of Arithmetic

Häftad, Engelska, 2019

AvWalter Felscher

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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.

Produktinformation

Utgivningsdatum2019-09-05
Mått152 x 229 x 17 mm
Vikt453 g
FormatHäftad
SpråkEngelska
Antal sidor312
FörlagTaylor & Francis Ltd
ISBN9780367398576

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Matematikens grunder inom Naturvetenskap och teknik

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