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On lattice theoretic characterisation of maximal $α$ - recursive sets. (English)
Math. Educ. 39, No. 3, 193-195 (2005).
Our main aim here is to obtain a necessary and sufficient condition for the existence of maximal $α$-recursive enumerable sets. G. Kreisel derived some results related to generalisations of recursion theory. We develop here a Lattice theoretic approach in view of specific properties of maximal sets in terms of quotient Lattice $Σ(α)$.
Classification: H50 E60
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