Title
One-way Definability of Sweeping Transducer.
Abstract
Two-way finite-state transducers on words are strictly more expressive than one-way transducers. It has been shown recently how to decide if a two-way functional transducer has an equivalent one-way transducer, and the complexity of the algorithm is non-elementary. We propose an alternative and simpler characterization for sweeping functional transducers, namely, for transducers that can only reverse their head direction at the extremities of the input. Our algorithm works in 2EXPSPACE and, in the positive case, produces an equivalent one-way transducer of doubly exponential size. We also show that the bound on the size of the transducer is tight, and that the one-way definability problem is undecidable for (sweeping) non-functional transducers.
Year
Venue
Field
2015
FSTTCS
Transducer,Discrete mathematics,Exponential function,Mathematics,Undecidable problem
DocType
Citations 
PageRank 
Conference
2
0.36
References 
Authors
0
4
Name
Order
Citations
PageRank
Félix Baschenis131.05
Olivier Gauwin29510.81
Anca Muscholl3117974.92
Gabriele Puppis421220.49