Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Wednesday, June 29, 2005, 12:15 pm

**Duration**: This information is not available in the database

**Location**: This information is not available in the database

**Speaker**: Vera Vértesi

Our major interest in this talk is the identity checking problem for finite algebras: for two given terms we want to decide whether they agree for every substitution over the algebra. This problem is always decidable, as one can check all the possible substitutions. So the usual question is to determine the complexity of the identity checking problem. It is easy to see that the problem is in coNP. For a certain kind of structures (like groups, rings, semigroups, etc.) usually we are interested in verifying that some kind of duality holds. That is, the identity checking problem is easy for some algebras and hard for the rest. In this talk I give a brief survey, how to prove that the identity checking problem is hard for a given finite algebra.

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