Checking quasi-identities in a finite semigroup may be computationally hard |
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Authors: | M V Volkov |
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Institution: | (1) Department of Mathematics and Mechanics, Ural State University, Lenina 51, Ekaterinburg, Russua |
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Abstract: | We exhibit a 10-element semigroup Q such that the question “Does a given quasi-identity hold in Q?” is co-NP-complete while the question “Does a given identity hold in Q?” can be answered in linear time. |
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Keywords: | semigroup identity quasi-identity NP-completeness |
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