Results 51 to 60 of about 4,638,570 (374)
Most Complex Non-Returning Regular Languages [PDF]
A regular language $L$ is non-returning if in the minimal deterministic finite automaton accepting it there are no transitions into the initial state.
B Krawetz+11 more
core +3 more sources
Nondeterministic State Complexity for Suffix-Free Regular Languages [PDF]
We investigate the nondeterministic state complexity of basic operations for suffix-free regular languages. The nondeterministic state complexity of an operation is the number of states that are necessary and sufficient in the worst-case for a minimal ...
Yo-Sub Han, Kai Salomaa
doaj +1 more source
Extensions of ω-Regular Languages [PDF]
We consider extensions of monadic second-order logic over ω-words, which are obtained by adding one language that is not ω-regular. We show that if the added language L has a neutral letter, then the resulting logic is necessarily undecidable. A corollary is that the ω-regular languages are the only decidable Boolean-closed full trio over ω-words.
Bojańczyk, Mikołaj+3 more
openaire +3 more sources
Most Complex Regular Right-Ideal Languages [PDF]
A right ideal is a language L over an alphabet A that satisfies L = LA*. We show that there exists a stream (sequence) (R_n : n \ge 3) of regular right ideal languages, where R_n has n left quotients and is most complex under the following measures of ...
J. Bell+9 more
core +3 more sources
On the Boundary of Regular Languages
We prove that the tight bound on the state complexity of the boundary of regular languages, defined as bd ( L ) = L * ? ( L ? ) * , is 3 / 8 ? 4 n + 2 n - 2 - 2 ? 3 n - 2 - n + 2 . Our witness languages are described over a five-letter alphabet. Next, we show that this bound cannot be met by any quaternary language if n ? 5 .
Galina Jirásková, Jozef Jirásek
openaire +3 more sources
On Notions of Regularity for Data Languages [PDF]
AbstractWith motivation from considerations in XML database theory and model checking, data strings have been introduced as an extension of finite alphabet strings which carry, at each position, a symbol and a data value from an infinite domain. Previous work has shown that it is difficult to come up with an expressive yet decidable automaton model for
Thomas Schwentick, Henrik Björklund
openaire +2 more sources
A survey on difference hierarchies of regular languages [PDF]
Difference hierarchies were originally introduced by Hausdorff and they play an important role in descriptive set theory. In this survey paper, we study difference hierarchies of regular languages.
Olivier Carton+2 more
doaj +1 more source
Logic Meets Algebra: the Case of Regular Languages [PDF]
The study of finite automata and regular languages is a privileged meeting point of algebra and logic. Since the work of Buchi, regular languages have been classified according to their descriptive complexity, i.e.
Pascal Tesson, Denis Therien
doaj +1 more source
Efficient and Generalized Decentralized Monitoring of Regular Languages [PDF]
This paper proposes an efficient and generalized decentralized monitoring algorithm allowing to detect satisfaction or violation of any regular specification by local monitors alone in a system without central observation point.
Ylìès Falcone+2 more
openalex +2 more sources
Varieties of Cost Functions. [PDF]
Regular cost functions were introduced as a quantitative generalisation of regular languages, retaining many of their equivalent characterisations and decidability properties.
Daviaud, L., Kuperberg, D., Pin, J-E.
core +4 more sources