Derived-Term Automata of Weighted Rational Expressions with Quotient Operators
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
Quotient operators have been rarely studied in the context of weighted rational expressions and automaton generation—in spite of the key role played by the quotient of words in formal language theory. To handle both left- and right-quotients we generalize an expansion-based construction of the derived-term (or Antimirov, or equation) automaton and rely on support for a transposition (or reversal) operator. The resulting automata may have spontaneous transitions, which requires different techniques from the usual derived-term constructions.
Documents
Bibtex (lrde.bib)
@InProceedings{ demaille.17.ictac, author = {Akim Demaille and Thibaud Michaud}, title = {Derived-Term Automata of Weighted Rational Expressions with Quotient Operators}, booktitle = {Proceedings of the Thirteenth International Colloquium on Theoretical Aspects of Computing (ICTAC)}, year = 2017, doi = {10.1007/978-3-319-67729-3_10}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {10580}, pages = {155--173}, address = {Hanoi, Vietnam}, month = oct, abstract = {Quotient operators have been rarely studied in the context of weighted rational expressions and automaton generation---in spite of the key role played by the quotient of words in formal language theory. To handle both left- and right-quotients we generalize an expansion-based construction of the derived-term (or Antimirov, or equation) automaton and rely on support for a transposition (or reversal) operator. The resulting automata may have spontaneous transitions, which requires different techniques from the usual derived-term constructions. } }