Title
Restarting Transducers, Regular Languages, and Rational Relations
Abstract
A (nonforgetting) restarting transducer is a (nonforgetting) restarting automaton that is equipped with an output function. Accordingly, restarting transducers compute binary relations, and deterministic restarting transducers compute functions. Here we characterize the rational functions and some of their proper subclasses by certain types of deterministic restarting transducers with window size one. As a preliminary step we prove that the monotone variants of the nonforgetting R- and the nonforgetting deterministic RR-automata with window size one only accept regular languages.
Year
DOI
Venue
2015
10.1007/s00224-014-9579-z
Theory of Computing Systems
Keywords
Field
DocType
Restarting automaton,Regular language,Restarting transducer,Rational function
Transducer,Discrete mathematics,Combinatorics,Binary relation,Automaton,Regular language,Rational function,Mathematics,Monotone polygon
Journal
Volume
Issue
ISSN
57
1
1432-4350
Citations 
PageRank 
References 
1
0.35
18
Authors
2
Name
Order
Citations
PageRank
Norbert Hundeshagen1214.86
Friedrich Otto217118.72