Computable p–adic Numbers
نویسنده
چکیده
In the present work the notion of the computable (primitive recursive, polynomially time computable) p–adic number is introduced and studied. Basic properties of these numbers and the set of indices representing them are established and it is proved that the above defined fields are p–adically closed. Using the notion of a notation system introduced by Y. Moschovakis an abstract characterization of the indices representing the field of computable p–adic numbers is established.
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