This is an introduction to mathematical logic in which all the usual topics are presented: compactness and axiomatizability of semantical consequence, LΓΆwenheim-Skolem-Tarski theorems, prenex and other normal forms, and characterizations of elementary classes with the help of ultraproducts. Logic is
Lectures on Mathematical Logic Volume III The Logic of Arithmetic
β Scribed by Felscher, Walter
- Publisher
- CRC Press
- Year
- 2000
- Tongue
- English
- Leaves
- 310
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Subjects
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