@misc{Mokatsian_Arsen_H._P-m-Mitotic, author={Mokatsian, Arsen H. and Barseghyan, Khachatur А.}, howpublished={online}, publisher={Изд-во НАН РА}, abstract={Let \{0,1\}∗ be the set of all finite strings of elements from \{0,1\}, and let P be the class of problems recognized by deterministic Turing machines, which run in polynomial time (a problem is simply a subset of \{0,1\}∗). This article defines the class P ( and shows that P ( is isomorphic to the class P. Based on the notions of T-mitoticity and T-autoreducibility, K.Ambos-Spies introduced the notions of P-m-mitoticity and P-m-autoreducibility. The notions of P) -m-mitoticity and P)-m-autoreducibility are introduced by analogy with the mentioned notions. The article proves that the index sets \{z | W2 is P-m-mitotic\} and \{z | W2 is P-m-autoreducible\} are Σ3-complete.}, type={Հոդված}, title={P-m-Mitotic Sets and Arithmetical Hierarchy}, keywords={Mathematical cybernetics, Computer science}, }