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Simple and immune relations on countable structures
<span title="2003-04-01">2003</span>
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Let A be a computable structure and let R be a new relation on its domain. We establish a necessary and sufficient condition for the existence of a copy B of A in which the image of R (¬R, resp.) is simple (immune, resp.) relative to B. We also establish, under certain effectiveness conditions on A and R, a necessary and sufficient condition for the existence of a computable copy B of A in which the image of R (¬R, resp.) is simple (immune, resp.).
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