Two function algebras defining functions in NCk boolean circuits

We describe the functions computed by boolean circuits in NCk by means of functions algebra for k≥1 in the spirit of implicit computational complexity. The whole hierarchy defines NC. In other words, we give a recursion-theoretic characterization of the complexity classes NCk for k≥1 without referen...

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Bibliographic Details
Published in:Information and computation Vol. 248; pp. 82 - 103
Main Authors: Bonfante, Guillaume, Kahle, Reinhard, Marion, Jean-Yves, Oitavem, Isabel
Format: Journal Article
Language:English
Published: Elsevier Inc 01.06.2016
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ISSN:0890-5401, 1090-2651
Online Access:Get full text
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