Notes on congruence relations and factor pumping conditions for rational languages (Q1110344)
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scientific article; zbMATH DE number 4072415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on congruence relations and factor pumping conditions for rational languages |
scientific article; zbMATH DE number 4072415 |
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Notes on congruence relations and factor pumping conditions for rational languages (English)
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1988
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If \(\Sigma\) * is the free semigroup over an alphabet \(\Sigma\), \(L\subseteq \Sigma *\), and \(\sim\) is a congruence on \(\Sigma\) *, then L/\(\sim\) is the set of congruence classes of words in L. The author considers conditions for L/\(\sim\) to be finite, a finite semigroup, or a finite group. Pumping conditions which are equivalent to rationality are also considered for these factors.
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idempotent
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periodic
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free semigroup
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alphabet
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congruence
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finite semigroup
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finite group
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Pumping conditions
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