Some Characterizations of a Class of Generated ∞—Languages

Ivan Mezník

doi:10.3390/math14152791

August 4, 2026MathematicsOpen Access

Some Characterizations of a Class of Generated ∞—Languages

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Key Points

The aim is to explore the cardinality and closure properties of the class of IG-languages generated by incomplete generating machines.
Characterization of words and ω-words in the context of IG-languages.
Examination of the cardinalities associated with IG-languages generated by IG-machines.
Analysis of the closure properties of IG-languages.
Established cardinality characterizations for words and ω-words in IG-languages.
Identified various closure properties pertinent to IG-languages.
Described relationships between IG-languages and their generating machines.

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Implication

Investigation characterizes cardinality and closure properties of IG-languages generated by IG-machines, highlighting foundational insights.

Abstract

The class of ∞—languages (IG-languages) generated by incomplete generating machines (IG-machines) is investigated. The cardinality characterizations of words, ω-words and IG-languages generated by IG-machines are given, and some closure properties of IG-languages are studied.

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Ivan Mezník (2026) studied this question.

synapsesocial.com/papers/6a7437ab764cddc9499d51aa https://doi.org/10.3390/math14152791

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Some Characterizations of a Class of Generated ∞—Languages

Key Points

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Implication

Abstract

Discussion

Cite This Study

Some Characterizations of a Class of Generated ∞—Languages

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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