On MODkP Counting Degrees

Mathematical Logic Quarterly 45 (3):327-342 (1999)

Abstract
For a prime k, the embeddability of finite lattices are discussed for various kind of the MODkP degrees of recursive sets. In particular, all finite lattices are embeddable into the MODkP Turing degrees, whereas the non distributive lattice M3 is embeddable into the MOD2P many-one degrees but N5 is not
Keywords Nondeterministic Computation  Counting reducibility  Polynomial time reducibility
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DOI 10.1002/malq.19990450305
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