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Zbl 0790.03008
Matiyasevich, Yuri V.
Hilbert's tenth problem. With a foreword by Martin Davis.
(English)
[B] MIT Press Series in the Foundations of Computing. Cambridge, MA: MIT Press. xxii, 264 p. \$ 60.75 /hc (1993). ISBN 0-262-13295-8

See the review of the Russian original below (Zbl 0790.03009).
MSC 2000:
*03B25 Decidability of theories and sets of sentences
11U05 Decidability related to number theory
11-02 Research monographs (number theory)
03-02 Research monographs (mathematical logic)
12L05 Decidability related to field theory
11D99 Diophantine equations

Keywords: implications of negative solution to Hilbert's Tenth problem; exponentiation; diophantine coding; primality; universal diophantine equations; recursive unsolvability of Hilbert's Tenth Problem; bounded universal quantifiers; diophantine complexity; exercises; Four-Color Problem

Citations: Zbl 0790.03009

Cited in: Zbl 0948.11010 Zbl 0868.01020 Zbl 0790.03009

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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