TY - GEN
T1 - Degrees of infinite words, polynomials and atoms
AU - Endrullis, Jörg
AU - Karhumäki, Juhani
AU - Klop, Jan Willem
AU - Saarela, Aleksi
PY - 2016
Y1 - 2016
N2 - Our objects of study are finite state transducers and their power for transforming infinite words. Infinite sequences of symbols are of paramount importance in a wide range of fields, from formal languages to pure mathematics and physics. While finite automata for recognising and transforming languages are well-understood, very little is known about the power of automata to transform infinite words. We use methods from linear algebra and analysis to show that there is an infinite number of atoms in the transducer degrees, that is, minimal non-trivial degrees.
AB - Our objects of study are finite state transducers and their power for transforming infinite words. Infinite sequences of symbols are of paramount importance in a wide range of fields, from formal languages to pure mathematics and physics. While finite automata for recognising and transforming languages are well-understood, very little is known about the power of automata to transform infinite words. We use methods from linear algebra and analysis to show that there is an infinite number of atoms in the transducer degrees, that is, minimal non-trivial degrees.
UR - http://www.scopus.com/inward/record.url?scp=84979210545&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84979210545&partnerID=8YFLogxK
U2 - 10.1007/978-3-662-53132-7_14
DO - 10.1007/978-3-662-53132-7_14
M3 - Conference contribution
AN - SCOPUS:84979210545
SN - 9783662531310
VL - 9840
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 164
EP - 176
BT - Developments in Language Theory - 20th International Conference, DLT 2016, Proceedings
PB - Springer/Verlag
T2 - 20th International Conference on Developments in Language Theory, DLT 2016
Y2 - 25 July 2016 through 28 July 2016
ER -