[PDF.41hj] Logic of Arithmetic (Lectures on Mathematical Logic)

Logic of Arithmetic (Lectures on Mathematical Logic)

[PDF.kj44] Logic of Arithmetic (Lectures on Mathematical Logic)

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 | #1818645 in Books |  2000-05-30 | Original language:English | PDF # 1 |  9.00 x6.00 x.75l,1.49 | File type: PDF | 312 pages

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|| |"A complete representation of the current knowledge in Mathematical Logic in a detailed and precise manner." -- Prof. Michael M. Richter of University of Kaiserslautern, Germany

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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