2007 | OriginalPaper | Buchkapitel
Boundedness of Monadic FO over Acyclic Structures
verfasst von : Stephan Kreutzer, Martin Otto, Nicole Schweikardt
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
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We study the boundedness problem for monadic least fixed points as a decision problem. While this problem is known to be undecidable in general and even for syntactically very restricted classes of underlying first-order formulae, we here obtain a decidability result for the boundedness issue for monadic fixed points over arbitrary first-order formulae in restriction to acyclic structures.