Circular splicing systems are a formal model of a generative mechanism of circular words, inspired by a recombinant behaviour of circular DNA. They are defined by a finite alphabet A, an initial set I of circular words, and a set R of rules. In this paper, we focus on the still unknown relations between regular languages and circular splicing systems with a finite initial set and a finite set R of rules represented by a pair of letters ((1,3)-CSSH systems). When R = A x A, it is known that the set of all words corresponding to the splicing language belongs to the class of pure unitary languages, introduced by Ehrenfeucht, Haussler, Rozenberg in 1983. They also provided a characterization of the regular pure unitary languages, based on the notions of unavoidable sets and well quasi-orders. We partially extend these notions and their results in the more general framework of the (1,3)-CSSH systems.

Unavoidable sets and circular splicing languages

DE FELICE, Clelia;ZACCAGNINO, ROCCO;ZIZZA, ROSALBA
2017-01-01

Abstract

Circular splicing systems are a formal model of a generative mechanism of circular words, inspired by a recombinant behaviour of circular DNA. They are defined by a finite alphabet A, an initial set I of circular words, and a set R of rules. In this paper, we focus on the still unknown relations between regular languages and circular splicing systems with a finite initial set and a finite set R of rules represented by a pair of letters ((1,3)-CSSH systems). When R = A x A, it is known that the set of all words corresponding to the splicing language belongs to the class of pure unitary languages, introduced by Ehrenfeucht, Haussler, Rozenberg in 1983. They also provided a characterization of the regular pure unitary languages, based on the notions of unavoidable sets and well quasi-orders. We partially extend these notions and their results in the more general framework of the (1,3)-CSSH systems.
2017
File in questo prodotto:
File Dimensione Formato  
InevitabileTCSperAntonio.pdf

accesso aperto

Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Creative commons
Dimensione 653.51 kB
Formato Adobe PDF
653.51 kB Adobe PDF Visualizza/Apri

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/11386/4678720
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 6
social impact