Correcting for market failures calls not only for regulation – obligatory membership to avoid the problem of adverse selection, but also for its public provision, to improve the monitoring capacity and financial sustainability of the program.
For every recursive function f(n) there exists a finitely generated subgroup (H le F_2times F_2) that is closed in the pro-finite topology of (F_2times F_2) and whose distortion function (f_{F_2times F_2,H}), the relative depth function, and the time complexity of the membership problem are at least f(n).
If G is finitely presented and H is closed in the pro-finite topology of G, then there exists a McKinsey-type A GoritHm A(G, H) solving the membership problem for H (and thus the (f_{G,H}) is recursive).
One application concerns the universal theory of finite solvable groups of a given class, the second application concerns with the membership problem in pro-finitely closed subgroups of residually finite groups.
"I would agree that they have convinced some of their membership that I am the problem," Mr. Von Essen said of the union.
The choice of a membership function depends on the problem.
1.2, one can asks what is the complexity of the "yes" and "no" parts of that algorithm, in particular, and of the membership problem for H in general.
Hypercomputation is therefore required for an algorithmic answer to the membership problem of such a theory.
We use these results to resolve two major open problems for OWL 2 QL by showing that TBox query inseparability and the membership problem for universal conjunctive query solutions in knowledge exchange are both ExpTime-complete for combined complexity.
5.2, we construct pro-finitely closed subgroups of the direct product of two free groups with arbitrary large time complexity of the membership problem, distortion function and ther relative depth function (defined there).
