Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Iskander Sh. Kalimullin"'
Publikováno v:
The Journal of Symbolic Logic. :1-12
Working toward showing the decidability of the $\forall \exists $ -theory of the ${\Sigma ^0_2}$ -enumeration degrees, we prove that no so-called Ahmad pair of ${\Sigma ^0_2}$ -enumeration degrees can join to ${\mathbf 0}_e'$ .
Publikováno v:
The Journal of Symbolic Logic. :1-29
Recall that B is PA relative to A if B computes a member of every nonempty $\Pi ^0_1(A)$ class. This two-place relation is invariant under Turing equivalence and so can be thought of as a binary relation on Turing degrees. Miller and Soskova [23] int
Publikováno v:
Theoretical Computer Science. 844:195-216
We systematically investigate into the online content of finitely generated structures. The online content of a potentially infinite algebraic or combinatorial structure is perhaps best reflected by its PR-degrees (to be defined). We confirm a natura
Publikováno v:
The Journal of Symbolic Logic. 87:527-544
We give several new characterizations of the continuous enumeration degrees. The main one proves that an enumeration degree is continuous if and only if it is not half of a nontrivial relativized $\mathcal {K}$ -pair. This leads to a structural dicho
Autor:
Asher M. Kach, Antonio Montalbán, V. G. Puzarenko, Iskander Sh. Kalimullin, Marat Kh. Faizrahmanov
Publikováno v:
Mathematical Logic Quarterly. 65:37-45
Publikováno v:
The Bulletin of Symbolic Logic. 25:141-181
The survey contains a detailed discussion of methods and results in the new emerging area of online “punctual” structure theory. We also state several open problems.
Publikováno v:
The Journal of Symbolic Logic. 83:103-116
A Turing degreedis the degree of categoricity of a computable structure${\cal S}$ifdis the least degree capable of computing isomorphisms among arbitrary computable copies of${\cal S}$. A degreedis the strong degree of categoricity of${\cal S}$ifdis
Publikováno v:
Annals of Pure and Applied Logic. 172:102987
We study punctual categoricity on a cone and intrinsically punctual functions and obtain complete structural characterizations in terms of model-theoretic notions. As a corollary, we answer a question of Bazhenov, Downey, Kalimullin, and Melnikov by
Publikováno v:
Algebra and Logic. 56:171-177
We suggest several new ways to compare fully primitive recursive presentations of a structure. Properties of this kind have never been seen in computable structure theory. We prove that these new de nitions are non-equivalent. In this note we give on
Publikováno v:
Theoretical Computer Science. 674:73-98
In this article we suggest a new systematic approach to studying algorithms on algebraic structures via primitive recursion. The approach is designed to fill the gap between abstract computable structure theory and feasible (in the sense of polynomia