SYNTACTIC COMPLEXITY OF ℛ- AND 𝒥-TRIVIAL REGULAR LANGUAGES

JANUSZ BRZOZOWSKI, BAIYU LI
2014 International Journal of Foundations of Computer Science  
The syntactic complexity of a subclass of the class of regular languages is the maximal cardinality of syntactic semigroups of languages in that class, taken as a function of the state complexity n of these languages. We prove that n! and ⌊e(n − 1)!⌋ are tight upper bounds for the syntactic complexity of Rand J -trivial regular languages, respectively.
doi:10.1142/s0129054114400097 fatcat:levq7nx7rffavgmfsgsy44uocu