Operations preserving regular languages
نویسندگان
چکیده
منابع مشابه
Operations preserving regular languages
Given a strictly increasing sequence s of non-negative integers, filtering a word a0a1 · · · an by s consists in deleting the letters ai such that i is not in the set {s0, s1, . . .}. By a natural generalization, denote by L[s], where L is a language, the set of all words of L filtered by s. The filtering problem is to characterize the filters s such that, for every regular language L, L[s] is ...
متن کاملOperations Preserving Recognizable Languages
Given a subset S of N, filtering a word a0a1 · · · an by S consists in deleting the letters ai such that i is not in S. By a natural generalization, denote by L[S], where L is a language, the set of all words of L filtered by S. The filtering problem is to characterize the filters S such that, for every recognizable language L, L[S] is recognizable. In this paper, the filtering problem is solve...
متن کاملDistinguishability Operations and Closures on Regular Languages
In this paper we study the language of the words that, for a given language L, distinguish between pairs of different left-quotients of L. We characterize this distinguishability operation, show that its iteration has always a fixed point, and we generalize this result to operations derived from closure operators and Boolean operators. We give an upper bound for the state complexity of the dist...
متن کاملState Complexity of Combined Operations for Prefix-Free Regular Languages
We investigate the state complexity of combined operations for prefix-free regular languages. Prefix-free minimal deterministic finitestate automata have a unique structural property that plays an important role to obtain the precise state complexity of basic operations. Based on the same property, we establish the precise state complexity of four combined operations: star-of-union, star-of-int...
متن کاملState Complexity of Basic Operations on Suffix-Free Regular Languages
We investigate the state complexity of basic operations for suffix-free regular languages. The state complexity of an operation for regular languages is the number of states that are necessary and sufficient in the worst-case for the minimal deterministic finite-state automaton that accepts the language obtained from the operation.We establish the precise state complexity of catenation, Kleene ...
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: Theoretical Computer Science
سال: 2006
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2005.11.034