Journal article Open Access

Characterizingco-NLby a group action

Aubert, Clément; Seiller, Thomas


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{
  "DOI": "10.1017/s0960129514000267", 
  "author": [
    {
      "family": "Aubert, Cl\u00e9ment"
    }, 
    {
      "family": "Seiller, Thomas"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2014, 
        12, 
        5
      ]
    ]
  }, 
  "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. ; Comment: To appear in Mathematical Structures in Computer Science", 
  "title": "Characterizingco-NLby a group action", 
  "type": "article-journal", 
  "id": "3967741"
}
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