This paper concerns the notion of commutative equivalence of algebraic structures, with a special emphasis on unique factorization codes, minimal linear grammars and counting functions of formal languages. We will present classical and recent results on this topic and the logical relations among them as well.

On the Commutative Equivalence of Algebraic Structures and Related Problems / Benso, Andrea; Carpi, Arturo; D'Alessandro, Flavio. - In: JOURNAL OF AUTOMATA, LANGUAGES AND COMBINATORICS. - ISSN 1430-189X. - 30:1-3(2025), pp. 27-48. [10.25596/jalc-2025-027]

On the Commutative Equivalence of Algebraic Structures and Related Problems

D'Alessandro, Flavio
2025

Abstract

This paper concerns the notion of commutative equivalence of algebraic structures, with a special emphasis on unique factorization codes, minimal linear grammars and counting functions of formal languages. We will present classical and recent results on this topic and the logical relations among them as well.
2025
commutative equivalence; context-free language; unique factorization code; counting function
01 Pubblicazione su rivista::01a Articolo in rivista
On the Commutative Equivalence of Algebraic Structures and Related Problems / Benso, Andrea; Carpi, Arturo; D'Alessandro, Flavio. - In: JOURNAL OF AUTOMATA, LANGUAGES AND COMBINATORICS. - ISSN 1430-189X. - 30:1-3(2025), pp. 27-48. [10.25596/jalc-2025-027]
File allegati a questo prodotto
File Dimensione Formato  
Benso_On the commutative_2025.pdf

solo gestori archivio

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 634.01 kB
Formato Adobe PDF
634.01 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1754903
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact