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|Title:||Automata on ordinals and linear orders||Authors:||Schlicht, P.
|Issue Date:||2011||Citation:||Schlicht, P.,Stephan, F. (2011). Automata on ordinals and linear orders. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 6735 LNCS : 252-259. ScholarBank@NUS Repository. https://doi.org/10.1007/978-3-642-21875-0_27||Abstract:||We investigate structures recognizable by α-automata with running time a limit ordinal α. The domain of such a structure consists of finite α-words with gaps. An α-automaton resembles a finite automaton but has a limit rule which maps the set of states which appear cofinally often before the limit to a limit state. We determine the suprema of the α-automatic ordinals and the ranks of α-automatic linear orders. The power of α-automata increases with every power of ω. © 2011 Springer-Verlag.||Source Title:||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)||URI:||http://scholarbank.nus.edu.sg/handle/10635/104537||ISBN:||9783642218743||ISSN:||03029743||DOI:||10.1007/978-3-642-21875-0_27|
|Appears in Collections:||Staff Publications|
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