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Towards an implicit characterization of NCk

Identifieur interne : 005742 ( Main/Merge ); précédent : 005741; suivant : 005743

Towards an implicit characterization of NCk

Auteurs : G. Bonfante [France] ; R. Kahle [Portugal] ; J.-Y. Marion [France] ; I. Oitavem [Portugal]

Source :

RBID : Pascal:07-0471898

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English descriptors

Abstract

We define a hierarchy of term systems Tk by means of restrictions of the recursion schema. We essentially use a pointer technique together with tiering. We prove Tk C NCk C Tk+1, for k > 2. Special attention is put on the description of T2 and T3 and on the proof of T2 ⊆ NC2 C T3. Such a hierarchy yields a characterization of NC.

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Pascal:07-0471898

Le document en format XML

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<div type="abstract" xml:lang="en">We define a hierarchy of term systems T
<sup>k</sup>
by means of restrictions of the recursion schema. We essentially use a pointer technique together with tiering. We prove T
<sup>k</sup>
C NC
<sup>k</sup>
C T
<sup>k+1</sup>
, for k > 2. Special attention is put on the description of T
<sup>2</sup>
and T
<sup>3</sup>
and on the proof of T
<sup>2</sup>
⊆ NC
<sup>2</sup>
C T
<sup>3</sup>
. Such a hierarchy yields a characterization of NC.</div>
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