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Finite State Automata and Monadic Definability of Singular Cardinals
Journal of Symbolic Logic 73 (2):412 - 438 (2008)
Abstract
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formula over the ordinalsLinks
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Deterministic automata and the monadic theory of ordinals < ω2.J. Richard Büchi & Charles Zaiontz - 1983 - Mathematical Logic Quarterly 29 (5):313-336.
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