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A context-free and a 1-counter geodesic language for a Baumslag-Solitar group

Murray Elder

math.GRarXiv:math/0411166

Abstract

We give a language of unique geodesic normal forms for the Baumslag-Solitar group BS(1,2) that is context-free and 1-counter. We discuss the classes of context-free, 1-counter and counter languages, and explain how they are inter-related.

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