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arXiv · 1505.08055

When is scalar multiplication decidable?

Philipp Hieronymi
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Abstract

Let $K$ be a subfield of $\mathbb{R}$. The theory of $\mathbb{R}$ viewed as an ordered $K$-vector space and expanded by a predicate for $\mathbb{Z}$ is decidable if and only if $K$ is a real quadratic field.

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Philipp Hieronymi. 2015-05-29. When is scalar multiplication decidable?. https://arxiv.org/abs/1505.08055

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