Quotient Operators for Weighted Rational Expressions
From LRDE
- Authors
- Akim Demaille, Thibaud Michaud
- Where
- Proceedings of the Thirteenth International Colloquium on Theoretical Aspects of Computing (ICTAC)
- Place
- Hanoi, Vietnam
- Type
- inproceedings
- Publisher
- Springer
- Projects
- Vcsn
- Date
- 2017-07-05
Abstract
Quotients of words play a key role in formal language theory, however they have been rarely studied in the context of weighted rational expressions. We define the left and right quotients of rational series, and introduce corresponding operators for weighted expressions. We generalize an alternative construction of the derived-term (or Antimirov, or equation) automaton, based on expansions, to handle these operators.
Bibtex (lrde.bib)
@InProceedings{ demaille.17.ictac, author = {Akim Demaille and Thibaud Michaud}, title = {Quotient Operators for Weighted Rational Expressions}, booktitle = {Proceedings of the Thirteenth International Colloquium on Theoretical Aspects of Computing (ICTAC)}, year = 2017, publisher = {Springer}, series = {Lecture Notes in Computer Science}, address = {Hanoi, Vietnam}, month = oct, abstract = {Quotients of words play a key role in formal language theory, however they have been rarely studied in the context of weighted rational expressions. We define the left and right quotients of rational series, and introduce corresponding operators for weighted expressions. We generalize an alternative construction of the derived-term (or Antimirov, or equation) automaton, based on expansions, to handle these operators.}, note = {accepted} }