Displaying similar documents to “Regular geodesic languages and the falsification by fellow traveler property.”

Comparing Complexity Functions of a Language and Its Extendable Part

Arseny M. Shur (2008)

RAIRO - Theoretical Informatics and Applications

Similarity:

Right (left, two-sided) extendable part of a language consists of all words having infinitely many right (resp. left, two-sided) extensions within the language. We prove that for an arbitrary factorial language each of these parts has the same growth rate of complexity as the language itself. On the other hand, we exhibit a factorial language which grows superpolynomially, while its two-sided extendable part grows only linearly.

Polynomial languages with finite antidictionaries

Arseny M. Shur (2009)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Similarity:

We tackle the problem of studying which kind of functions can occur as complexity functions of formal languages of a certain type. We prove that an important narrow subclass of rational languages contains languages of polynomial complexity of any integer degree over any non-trivial alphabet.

On the growth rates of complexity of threshold languages

Arseny M. Shur, Irina A. Gorbunova (2010)

RAIRO - Theoretical Informatics and Applications

Similarity:

Threshold languages, which are the (/(–1))-free languages over -letter alphabets with ≥ 5, are the minimal infinite power-free languages according to Dejean's conjecture, which is now proved for all alphabets. We study the growth properties of these languages. On the base of obtained structural properties and computer-assisted studies we conjecture that the growth rate of complexity of the threshold language over letters tends to a constant α ^ ≈ 1 . 242 as tends to infinity.

Consensual languages and matching finite-state computations

Stefano Crespi Reghizzi, Pierluigi San Pietro (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Similarity:

An ever present, common sense idea in language modelling research is that, for a word to be a valid phrase, it should comply with multiple constraints at once. A new language definition model is studied, based on agreement or consensus between similar strings. Considering a regular set of strings over a bipartite alphabet made by pairs of unmarked/marked symbols, a match relation is introduced, in order to specify when such strings agree. Then a regular set over the bipartite alphabet...

Consensual languages and matching finite-state computations

Stefano Crespi Reghizzi, Pierluigi San Pietro (2011)

RAIRO - Theoretical Informatics and Applications

Similarity:

An ever present, common sense idea in language modelling research is that, for a word to be a valid phrase, it should comply with multiple constraints at once. A new language definition model is studied, based on agreement or consensus between similar strings. Considering a regular set of strings over a bipartite alphabet made by pairs of unmarked/marked symbols, a match relation is introduced, in order to specify when such strings agree. Then a regular set over the bipartite alphabet...

Extending regular expressions with homomorphic replacement

Henning Bordihn, Jürgen Dassow, Markus Holzer (2010)

RAIRO - Theoretical Informatics and Applications

Similarity:

We define H- and EH-expressions as extensions of regular expressions by adding homomorphic and iterated homomorphic replacement as new operations, resp. The definition is analogous to the extension given by Gruska in order to characterize context-free languages. We compare the families of languages obtained by these extensions with the families of regular, linear context-free, context-free, and EDT0L languages. Moreover, relations to language families based on patterns, multi-patterns,...