A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.
Computable model theory is also related to reverse mathematics, the project of classifying theorems of mathematics ... There is no canonical generalization of this sort, and so the kind of effective theory of uncountable mathematics one ...
You don't have to worry about that problem with this book, which is filled with colorful and fun illustrations and explanations about mathematical concepts that are often overlooked in the academic world.
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[Sla98] Theodore A. Slaman, Relative to any nonrecursive set, Proceedings of the American Mathematical Society, vol. ... [Stu] , Effective model theory: approach via -definability, Effective Mathematics of the Uncountable (Noam ...
... Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, and Jeff Tollaksen, The Mathematics of Superoscillations, 2017 C. L. Fefferman, J. P. Lee-Thorp, and M. I. Weinstein, Topologically Protected States in One-Dimensional Systems, ...
Math. Log. Q., Preprint (to appear). arXiv: 1110.2430 Hirschfeldt, D., Jockusch, C.: On notions of computability ... Birkhäuser, Boston (2002) [Sh] Shore, R.A., Mathematics, R., Countable, U.: Effective mathematics of the uncountable.
We believe that Theorem [4] ought to be a corollary to a more general result connecting effectiveness properties of the 6 back-and-forth ... To appear in the ASL Lecture Notes in Logic volume Effective Mathematics of the Uncountable ...
Goncharov [122] and Manasse [230] gave examples of intrinsically c.e. relations on computable structures, which are not relatively intrinsically c.e. This result was lifted to higher levels in the hyperarithmetic hierarchy by Goncharov, ...
Since these structures are a routine part of the practice of pure and applied mathematics, a growing body of literature has addressed effective mathematics on uncountable structures (see, for instance [1,7,8,9,12,15,17,18]).