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Gehret, Allen; Kaplan, Elliot (, Notre Dame Journal of Formal Logic)null (Ed.)
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GEHRET, ALLEN; NELL, TRAVIS (, The Journal of Symbolic Logic)null (Ed.)Abstract In this note, we construct a distal expansion for the structure $$\left( {; + , < ,H} \right)$$ , where $$H \subseteq $$ is a dense $$Q$$ -vector space basis of $$R$$ (a so-called Hamel basis ). Our construction is also an expansion of the dense pair $$\left( {; + , < ,} \right)$$ and has full quantifier elimination in a natural language.more » « less
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