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On the strength of the interpretation method

Published online by Cambridge University Press:  12 March 2014

Yuri Gurevich
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109
Saharon Shelah
Institute of Mathematics, The Hebrew University, Jerusalem, Israel


In spite of the fact that true arithmetic reduces to the monadic second-order theory of the real line, Peano arithmetic cannot be interpreted in the monadic second-order theory of the real line.

Research Article
Copyright © Association for Symbolic Logic 1989

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