Displaying similar documents to “Extending regular expressions with homomorphic replacement”

Consensual languages and matching finite-state computations

Stefano Crespi Reghizzi, Pierluigi San Pietro (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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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...

On the expressive power of the shuffle operator matched with intersection by regular sets

Joanna Jȩdrzejowicz, Andrzej Szepietowski (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We investigate the complexity of languages described by some expressions containing shuffle operator and intersection. We show that deciding whether the shuffle of two words has a nonempty intersection with a regular set (or fulfills some regular pattern) is NL-complete. Furthermore we show that the class of languages of the form L R , with a shuffle language L and a regular language R , contains non-semilinear languages and does not form a family of mildly context- sensitive languages. ...

Hierarchies and reducibilities on regular languages related to modulo counting

Victor L. Selivanov (2008)

RAIRO - Theoretical Informatics and Applications

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We discuss some known and introduce some new hierarchies and reducibilities on regular languages, with the emphasis on the quantifier-alternation and difference hierarchies of the quasi-aperiodic languages. The non-collapse of these hierarchies and decidability of some levels are established. Complete sets in the levels of the hierarchies under the polylogtime and some quantifier-free reducibilities are found. Some facts about the corresponding degree structures are established. As...