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Preprint Number 1403
1403. Michael C. Laskowski and Caroline A. Terry Uniformly bounded arrays and mutually algebraic structures E-mail: Submission date: 27 March 2018 Abstract: We define an easily verifiable notion of an atomic formula having uniformly bounded arrays in a structure M. We prove that if T is a complete L-theory, then T is mutually algebraic if and only if there is some model M of T for which every atomic formula has uniformly bounded arrays. Moreover, an incomplete theory T is mutually algebraic if and only if every atomic formula has uniformly bounded arrays in every model M of T. Mathematics Subject Classification: Keywords and phrases: |

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