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SIAM J. Comput. 38, pp. 2443-2467 (25 pages)

A 2EXPTIME Complete Varietal Membership Problem

Marcin Kozik

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We construct a finite algebra generating a variety with 2EXPTIME complete membership problem. This proves that the universal membership problem for varieties and the varietal equivalence problem are 2EXPTIME complete as well, answering the question of Bergman and Slutzki from 2000.

© 2009 Society for Industrial and Applied Mathematics

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PUBLICATION DATA

ISSN

0097-5397 (print)  
1095-7111 (online)

ARTICLE DATA

History
Received January 23, 2007
Accepted December 17, 2008
Published online April 01, 2009

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