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Gerry Myerson
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Is the two variable fragment of aritheticarithmetic, i.e., theory of ($\mathbb{N}, + ,\times$), decidable?

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Is the two variable fragment of arithetic i.e. theory of ($\mathbb{N}, + ,\times$) decidable?

Any references would be appreciated. Most places only address different vocabularies (e.g. a survey of arithmetical definability by Bes).