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arXiv · 1209.3422

Characterizing co-NL by a group action

Clément Aubert·Thomas Seiller
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Abstract

In a recent paper, Girard proposes to use his recent construction of a geometry of interaction in the hyperfinite factor in an innovative way to characterize complexity classes. We begin by giving a detailed explanation of both the choices and the motivations of Girard's definitions. We then provide a complete proof that the complexity class co-NL can be characterized using this new approach. We introduce as a technical tool the non-deterministic pointer machine, a concrete model to computes algorithms.

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Clément Aubert, Thomas Seiller. 2015-01-22. Characterizing co-NL by a group action. https://doi.org/10.1017/s0960129514000267

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