First-order aspects of tree paths

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First-order aspects of tree paths

Tree paths are investigated using first-order logic. The following results are obtained: (i) every definable path can be defined by a firstorder formula using at most one parameter chosen from the path itself; (ii) a canonical representation of the formulas that define definable paths is obtained; and (iii) every tree that has only finitely many paths that are not definable is n-equivalent to a...

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ژورنال

عنوان ژورنال: Logic Journal of IGPL

سال: 2015

ISSN: 1367-0751,1368-9894

DOI: 10.1093/jigpal/jzv026