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Synopsis
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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About the Author
Felscher, Walter
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Logic of Arithmetic (Lectures on Mathematical Logic)
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CRC Press, 2000
ISBN 10: 9056992686
ISBN 13: 9789056992682
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Lectures on Mathematical Logic Volume III: The Logic of Arithmetic
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Gordon and Breach Science Publishers, Amsterdam, 2000
ISBN 10: 9056992686
ISBN 13: 9789056992682
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Hard Cover. Condition: Very Good. No Jacket. First Edition. Third only of a series of volumes of lectures on mathematical theory intended for mature students & lecturers, this discussing "various properties of the arithmetic of natural numbers" including "decidability and undecidability, completeness and incompleteness, consistency and the limitations to establish it." Felscher was a notable lecturer at the University of Tübingen. Hardcover, as pictured; no jacket, as issued. Light wear to book; minor scuffing, small nick to front hinge groove. Text clean; x, 300 pages; index, references, plenty of equations. Size: Octavo. Seller Inventory # u0419
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003: Logic of Arithmetic: The Logic of Arithmatic Vol 3 (Lectures on Mathematical Logic)
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Lectures on Mathematical Logic : The Logic of Arithmetic
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Logic of Arithmetic
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Lectures on Mathematical Logic: The Logic of Arithmetic: Vol 003
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