REDUCTS OF SOME STRUCTURES OVER THE REALS. YA'ACOV PETERZIL. Abstract. We consider reducts of the structure 3? = Kt, +,, < > and other real closed fields. We ...
We consider reducts of the structure ℛ = 〈ℝ, +, ·, <〉 and other real closed fields. We compete the proof that there exists a unique reduct between 〈ℝ, +, ...
Abstract. We consider reducts of the structure $\mathscr{R} = \langle\mathbb{R}, +, \cdot, <\rangle$ and other real closed fields. We compete the proof that ...
Abstract. We consider reducts of the structure M = <R, +, -, < > and other real closed fields. We compete the proof that there exists a unique reduct ...
Original language, English. Pages (from-to), 955-966. Number of pages, 12. Journal, Journal of Philosophical Logic. Volume, 58. Issue number, 3.
We formulate an analogue of Zilber's conjecture for o-minimal structures in general, and then prove it for a class of o-minimal structures over the reals.
In universal algebra and in model theory, a reduct of an algebraic structure is obtained by omitting some of the operations and relations of that structure.
Missing: Reals. | Show results with:Reals.
Given a real closed field $R$, we identify exactly four proper reducts of $R$ which expand the underlying (unordered) $R$-vector space structure.
Apr 29, 2015 · My professor told me that any formula that is satisfiable by a reduct of a model is satisfiable by the model it is a reduct of, and vice versa.
We formulate an analogue of Zilber's conjecture for o-minimal structures in general, and then prove it for a class of o-minimal structures over the reals.