Logic of Arithmetic

By: Walter Felscher

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Hardcover | 30 May 2000 | Edition Number 1

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Hardcover
312 Pages

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22.9 x 15.2 x 1.91

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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.

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