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Erschienen in:
2020 | OriginalPaper | Buchkapitel
The Order Type of Scattered Context-Free Orderings of Rank One Is Computable
verfasst von : Kitti Gelle, Szabolcs Iván
Erschienen in: SOFSEM 2020: Theory and Practice of Computer Science
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Abstract
A linear ordering is called context-free if it is the lexicographic ordering of some context-free language and is called scattered if it has no dense subordering. Each scattered ordering has an associated ordinal, called its rank. It is known that the isomorphism problem of context-free orderings is undecidable in general. In this paper we show that it is decidable whether a context-free ordering is scattered with rank at most one, and if so, its order type is effectively computable.