Difference between revisions of "Publications/demaille.16.ciaa"

From LRDE

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| series = Lecture Notes in Computer Science
 
| series = Lecture Notes in Computer Science
 
| address = Seoul, South Korea
 
| address = Seoul, South Korea
| abstract = We introduce (weighted) rational expressions to denote series over Cartesian products of monoids. To this endwe propose the operator <math>mid</math> to build multitape expressions such as <math>(a^+∣x + b^+∣y)^*</math>. We define expansions, which generalize the concept of derivative of a rational expression, but relieved from the need of a free monoid. We propose an algorithm based on expansions to build multitape automata from multitape expressions.
+
| abstract = We introduce (weighted) rational expressions to denote series over Cartesian products of monoids. To this endwe propose the operator mid to build multitape expressions such as (a^+∣x + b^+∣y)^*. We define expansions, which generalize the concept of derivative of a rational expression, but relieved from the need of a free monoid. We propose an algorithm based on expansions to build multitape automata from multitape expressions.
 
| lrdeprojects = Vcsn
 
| lrdeprojects = Vcsn
 
| lrdenewsdate = 2016-04-26
 
| lrdenewsdate = 2016-04-26

Revision as of 00:01, 29 April 2016

Abstract

We introduce (weighted) rational expressions to denote series over Cartesian products of monoids. To this endwe propose the operator mid to build multitape expressions such as (a^+∣x + b^+∣y)^*. We define expansions, which generalize the concept of derivative of a rational expression, but relieved from the need of a free monoid. We propose an algorithm based on expansions to build multitape automata from multitape expressions.


Bibtex (lrde.bib)

@InProceedings{	  demaille.16.ciaa,
  author	= {Akim Demaille},
  title		= {Multitape Rational Expressions},
  booktitle	= {Proceedings of Implementation and Application of Automata,
		  21st International Conference (CIAA'16)},
  year		= 2016,
  publisher	= {Springer},
  series	= {Lecture Notes in Computer Science},
  address	= {Seoul, South Korea},
  month		= jul,
  abstract	= {We introduce (weighted) rational expressions to denote
		  series over Cartesian products of monoids. To this end, we
		  propose the operator $\mid$ to build multitape expressions
		  such as $(a^+\mid x + b^+\mid y)^*$. We define expansions,
		  which generalize the concept of derivative of a rational
		  expression, but relieved from the need of a free monoid. We
		  propose an algorithm based on expansions to build multitape
		  automata from multitape expressions.},
  note		= {accepted}
}