Article ID Journal Published Year Pages File Type
4661935 Annals of Pure and Applied Logic 2013 5 Pages PDF
Abstract

We investigate structures recognizable by finite state automata with an input tape of length a limit ordinal. At limits, the set of states which appear unboundedly often before the limit are mapped to a limit state. We describe a method for proving non-automaticity and apply this to determine the optimal bounds for the ranks of linear orders recognized by such automata.

Related Topics
Physical Sciences and Engineering Mathematics Logic