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A note on Incomplete Generating Languages

Martin Juráš

Abstract



Incomplete generating languages form a subclass of 1-regular languages. These languages represent a non-deterministic output of a computer with finite operational memory, where the decisions are made by observing k previous states. We provide a new characterization of these languages, study their algebraic structure respect to boolean operations and examine their poset structure with respect to set inclusion.

Keywords


generating machine, generable sets, !-language, 1-regular language.

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