A topological view on algebraic computation models

Eike Neumann; Arno Pauly

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arXiv · 1602.08004

A topological view on algebraic computation models

Eike Neumann·Arno Pauly

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Abstract

We investigate the topological aspects of some algebraic computation models, in particular the BSS-model. Our results can be seen as bounds on how different BSS-computability and computability in the sense of computable analysis can be. The framework for this is Weihrauch reducibility. As a consequence of our characterizations, we establish that the solvability complexity index is (mostly) independent of the computational model, and that there thus is common ground in the study of non-computability between the BSS and TTE setting.

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Eike Neumann, Arno Pauly. 2016-02-25. A topological view on algebraic computation models. https://arxiv.org/abs/1602.08004

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