An effective version of definability in metric structures

نویسندگان

1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

doi
10.22060/ajmc.2021.20660.1071
چکیده

In this paper, a computably definable predicate in metric structures is defined and characterized. Then, it is proved that every separable infinite-dimensional Hilbert structure in an effectively presented language is computable. Moreover, every definable predicate in these structures is computable.

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