Consider the collection D of first-order formulas \u03b1 such that the first-order theory with axiom \u03b1 is decidable. It is proven that D is neither r.e. nor co-r.e. (The second part has been known earlier.)<\/p>\n","protected":false},"excerpt":{"rendered":"
Consider the collection D of first-order formulas \u03b1 such that the first-order theory with axiom \u03b1 is decidable. It is proven that D is neither r.e. nor co-r.e. 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