id: 00065333 dt: j an: 00065333 au: Zhang, Shuhua ti: Efficient simplicity testing of automata. so: Theor. Comput. Sci. 99, No.2, 265-278 (1992). py: 1992 pu: Elsevier Science Publishers, Amsterdam la: EN cc: ut: streams of regular languages; pseudovariety of finite semigroups ci: li: doi:10.1016/0304-3975(92)90352-G ab: Summary: Let $V$ be a pseudovariety of finite semigroups; an automaton ${\cal A}=(X,Σ,M)$ is called $V$-type if the transformation semigroup of ${\cal A}$ belongs to $V$. Polynomial-time algorithms for testing whether an automaton ${\cal A}=(X,Σ,M)$ 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. rv: