The finite inseparability of the first-order theory of diagonalisable algebras

Studia Logica 41 (4):347 - 349 (1982)
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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DOI 10.1007/BF00403334
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Sentences True in All Constructive Models.R. L. Vaught - 1960 - Journal of Symbolic Logic 25 (1):39-53.
Review: Abraham Robinson, Complete Theories. [REVIEW]Robert L. Vaught - 1960 - Journal of Symbolic Logic 25 (2):172-174.

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Undecidability in Diagonalizable Algebras.V. Yu Shavrukov - 1997 - Journal of Symbolic Logic 62 (1):79-116.

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