One of the well-known results in concurrency theory concerns the relationship between event structures and occurrence nets: an occurrence net can be associated with a prime event structure, and vice versa. More generally, the relationships between various forms of event structures and suitable forms of nets have been long established. Good examples are the close relationship between inhibitor event structures and inhibitor occurrence nets, or between asymmetric event structures and asymmetric occurrence nets. Several forms of event structures suited for the modelling of reversible computation have recently been developed; also a method for reversing occurrence nets has been proposed. This paper bridges the gap between reversible event structures and reversible nets. We introduce the notion of reversible occurrence net, which is a generalisation of the notion of reversible unfolding. We show that reversible occurrence nets correspond precisely to a subclass of reversible prime event structures, the causal reversible prime event structures.

Reversible Occurrence Nets and Causal Reversible Prime Event Structures

Pinna G. M.
;
2020-01-01

Abstract

One of the well-known results in concurrency theory concerns the relationship between event structures and occurrence nets: an occurrence net can be associated with a prime event structure, and vice versa. More generally, the relationships between various forms of event structures and suitable forms of nets have been long established. Good examples are the close relationship between inhibitor event structures and inhibitor occurrence nets, or between asymmetric event structures and asymmetric occurrence nets. Several forms of event structures suited for the modelling of reversible computation have recently been developed; also a method for reversing occurrence nets has been proposed. This paper bridges the gap between reversible event structures and reversible nets. We introduce the notion of reversible occurrence net, which is a generalisation of the notion of reversible unfolding. We show that reversible occurrence nets correspond precisely to a subclass of reversible prime event structures, the causal reversible prime event structures.
2020
978-3-030-52481-4
978-3-030-52482-1
Causality; Event structures; Petri nets; Reversibility
File in questo prodotto:
File Dimensione Formato  
final.pdf

Solo gestori archivio

Tipologia: versione pre-print
Dimensione 355.26 kB
Formato Adobe PDF
355.26 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/11584/314139
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? ND
social impact