### Logic for Unambiguous Context-Free Languages

#### Abstract

We give in this paper a logical characterization for unambiguous Context Free Languages, in the vein of descriptive

complexity. A fragment of the logic characterizing context free languages given by Lautemann, Schwentick and

Th´ erien based on implicit definability is used for this aim. We obtain a new connection between two undecidable

problems, a logical one and a language theoretical one.

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