Lectures On Mathematical Logic Volume Iii The Logic Of Arithmetic

57af9271a187b.jpg Author Walter Felscher
Isbn 9789056992682
File size 2.8 MB
Year 2015
Pages 312
Language English
File format PDF
Category Mathematics

Book Description:

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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