Lectures on Mathematical Logic The Logic of Arithmetic

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 is the author of 'Lectures on Mathematical Logic The Logic of Arithmetic' with ISBN 9789056992682 and ISBN 9056992686.