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    3. Lectures on Mathematical Logic Volume III The Logic of Arithmetic

    Lectures on Mathematical Logic Volume III The Logic of Arithmetic

    Posted By: nebulae
    Date: 24 Aug 2015 04:23:09
    Lectures on Mathematical Logic Volume III The Logic of Arithmetic

    Felscher, Walter, "Lectures on Mathematical Logic Volume III The Logic of Arithmetic"
    English | ISBN: 9056992686 | 2000 | 312 pages | PDF | 3 MB

    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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