Research output: Contribution to journal › Article › peer-review
Fine hierarchy of regular ω-languages. / Selivanov, Victor.
In: Theoretical Computer Science, Vol. 191, No. 1-2, 30.01.1998, p. 37-59.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Fine hierarchy of regular ω-languages
AU - Selivanov, Victor
PY - 1998/1/30
Y1 - 1998/1/30
N2 - By applying descriptive set theory to the Wagner's fine structure of regular ω-languages we get quite different proofs of his results and obtain new results. We give an automata-free description of the fine structure. We present also a simple property of a deterministic Muller automaton equivalent to the condition that the corresponding regular ω-language belongs to any given level of the fine structure. Our results and proofs demonstrate deep interconnections between descriptive set theory and the theory of ω-languages.
AB - By applying descriptive set theory to the Wagner's fine structure of regular ω-languages we get quite different proofs of his results and obtain new results. We give an automata-free description of the fine structure. We present also a simple property of a deterministic Muller automaton equivalent to the condition that the corresponding regular ω-language belongs to any given level of the fine structure. Our results and proofs demonstrate deep interconnections between descriptive set theory and the theory of ω-languages.
UR - http://www.scopus.com/inward/record.url?scp=0003018677&partnerID=8YFLogxK
U2 - 10.1016/S0304-3975(97)00301-0
DO - 10.1016/S0304-3975(97)00301-0
M3 - Article
AN - SCOPUS:0003018677
VL - 191
SP - 37
EP - 59
JO - Theoretical Computer Science
JF - Theoretical Computer Science
SN - 0304-3975
IS - 1-2
ER -
ID: 127141414