Dyck-based characterizations of Indexed Languages

Abstract

Indexed languages are a generalization of context-free languages and form a proper subset of context-sensitive languages. We propose to generalize to indexed languages several well known characterizations of context-free languages: namely, the characterization by rational transductions defined by Nivat, the Chomsky-Sch\"utzenberger theorem, and the logical characterization proved by Lautemann et al.

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