The splicing operation was introduced in 1987 by Head as a mathematical model of the recombination of DNA molecules under the influence of restriction and ligases enzymes. This operation allows us to define a computing (language generating) device, called a splicing system. Other variants of this original definition were also proposed by Paun and Pixton respectively. The computational power of splicing systems has been thoroughly investigated. Nevertheless, an interesting problem is still open, namely the characterization of the class of regular languages generated by finite splicing systems. In this paper, we will solve the problem for a special class of finite splicing systems, termed reflexive splicing systems, according to each of the definitions of splicing given by Paun and Pixton. This special class of systems contains, in perticular, finite Head splicing systems. The notion of a constant, given by Schutzenberger, once again intervenes. © 2005 Elsevier B.V. All rights reserved.

Bonizzoni, P., De Felice, C., Zizza, R. (2005). The structure of reflexive regular splicing languages via Schuetzenberger constants. THEORETICAL COMPUTER SCIENCE, 334(1-3), 71-98 [10.1016/j.tcs.2004.12.033].

The structure of reflexive regular splicing languages via Schuetzenberger constants

BONIZZONI, PAOLA;
2005

Abstract

The splicing operation was introduced in 1987 by Head as a mathematical model of the recombination of DNA molecules under the influence of restriction and ligases enzymes. This operation allows us to define a computing (language generating) device, called a splicing system. Other variants of this original definition were also proposed by Paun and Pixton respectively. The computational power of splicing systems has been thoroughly investigated. Nevertheless, an interesting problem is still open, namely the characterization of the class of regular languages generated by finite splicing systems. In this paper, we will solve the problem for a special class of finite splicing systems, termed reflexive splicing systems, according to each of the definitions of splicing given by Paun and Pixton. This special class of systems contains, in perticular, finite Head splicing systems. The notion of a constant, given by Schutzenberger, once again intervenes. © 2005 Elsevier B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
automata; regular languages; molecular computing
English
11-apr-2005
334
1-3
71
98
none
Bonizzoni, P., De Felice, C., Zizza, R. (2005). The structure of reflexive regular splicing languages via Schuetzenberger constants. THEORETICAL COMPUTER SCIENCE, 334(1-3), 71-98 [10.1016/j.tcs.2004.12.033].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/10281/1904
Citazioni
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 14
Social impact