@article {IOPORT.00065333, author = {Zhang, Shuhua}, title = {Efficient simplicity testing of automata.}, year = {1992}, journal = {Theoretical Computer Science}, volume = {99}, number = {2}, issn = {0304-3975}, pages = {265-278}, publisher = {Elsevier Science Publishers, Amsterdam}, doi = {10.1016/0304-3975(92)90352-G}, abstract = {Summary: Let $V$ be a pseudovariety of finite semigroups; an automaton ${\cal A}=(X,\Sigma,M)$ is called $V$-type if the transformation semigroup of ${\cal A}$ belongs to $V$. Polynomial-time algorithms for testing whether an automaton ${\cal A}=(X,\Sigma,M)$ is $S$-type, $RS$-type, $LS$-type or $RS\lor LS$-type are given, where $S$, $RS$ and $LS$ denote, respectively, the pseudovarieties of all finite simple semigroups, all finite right simple semigroups and all finite left simple semigroups.}, identifier = {00065333}, }