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Kunz languages
for numerical semigroups are context sensitive
Manuel Delgado and Jaume Usó i Cubertorer |
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Vol. 19 (2026), No. 2, 233–248
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Abstract |
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There is a one-to-one and onto correspondence between the class of numerical semigroups of depth , where is an integer, and a certain language over the alphabet , which we call a Kunz language of depth . The Kunz language associated with the numerical semigroups of depth is the regular language . We prove that Kunz languages associated with numerical semigroups of larger depth are context-sensitive but not regular. |
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Keywords
numerical semigroup, Kunz languages, Chomsky hierarchy
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Mathematical Subject Classification
Primary: 20M14, 68Q45
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Milestones
Received: 23 July 2023
Revised: 5 September 2024
Accepted: 9 September 2024
Published: 8 March 2026
Communicated by Nathan Kaplan
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Authors |
| Manuel Delgado | |
| Departamento de Matemática Faculdade de Ciências CMUP–Centro de Matemática da Universidade do Porto Porto Portugal |
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| Jaume Usó i Cubertorer | |
| Departamento de Matemática Faculdade de Ciências CMUP–Centro de Matemática da Universidade do Porto Porto Portugal |
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| © 2026 MSP (Mathematical Sciences Publishers). |
