SYNTACTIC COMPLEXITY OF ℛ- AND 𝒥-TRIVIAL REGULAR LANGUAGES
نویسندگان
چکیده
منابع مشابه
Syntactic Complexity of R- and J-Trivial Regular Languages
The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of the class of regular languages is the maximal syntactic complexity of languages in that class, taken as a function of the state complexity n of these languages. We study the syntactic complexity of Rand J -trivial regular languages, and prove that n! and ⌊e(n −...
متن کاملOn the State Complexity of the Reverse of R- and J -trivial Regular Languages
The tight upper bound on the state complexity of the reverse of R-trivial and J -trivial regular languages of the state complexity n is 2n−1. The witness is ternary for R-trivial regular languages and (n− 1)ary for J -trivial regular languages. In this paper, we prove that the bound can be met neither by a binary R-trivial regular language nor by a J -trivial regular language over an (n − 2)-el...
متن کاملSyntactic Complexity of Prefix-, Suffix-, and Bifix-Free Regular Languages
The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of the class of regular languages is the maximal syntactic complexity of languages in that class, taken as a function of the state complexity n of these languages. We study the syntactic complexity of prefix-, suffix-, and bifix-free regular languages. We prove th...
متن کاملSyntactic Structures of Regular Languages
We introduce here the notion of syntactic lattice algebra which is an analogy of the syntactic monoid and of the syntactic semiring. We present a unified approach to get those three structures.
متن کاملOn the State Complexity of the Reverse of - and -Trivial Regular Languages
The tight upper bound on the state complexity of the reverse of R-trivial and J -trivial regular languages of the state complexity n is 2n−1. The witness is ternary for R-trivial regular languages and (n− 1)ary for J -trivial regular languages. In this paper, we prove that the bound can be met neither by a binary R-trivial regular language nor by a J -trivial regular language over an (n − 2)-el...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Foundations of Computer Science
سال: 2014
ISSN: 0129-0541,1793-6373
DOI: 10.1142/s0129054114400097