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The finite inseparability of the first-order theory of diagonalisable algebras
Authors:Craig Smoryński
Affiliation:(1) Department of Mathematics, San José State University, 95 192 San José, CA, USA
Abstract:In a recent paper, Montagna proved the undecidability of the first-order theory of diagonalisable algebras. This result is here refined — the set of finitely refutable sentences is shown effectively inseparable from the set of theorems. The proof is quite simple.
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