In this contribution, we extend the concept of a Petri net morphism to Elementary Object Systems (Eos). Eos are a net-within-nets formalism, that is, we allow the tokens of a Petri net to be Petri nets again. This nested structure has the consequence that even systems defined by very small Petri nets have a quite huge reachability graph. In this contribution, we use automorphism to describe symmetries of the Petri net topology. Since these symmetries carry over to markings as well, this leads to a condensed state space, too.

A “Symbolic” Representation of Object-Nets / M. Köhler-Bußmeier, L. Capra (LECTURE NOTES IN COMPUTER SCIENCE). - In: IDCIT / [a cura di] Q. Bramas, B. Chatterjee, S. Devismes, M. Egan, P. Sarathi Mandal, K. Mukhopadhyaya, V. Vijaya Saradhi. - Prima edizione. - [s.l] : Springer, 2025 Jan. - ISBN 9783031814037. - pp. 68-74 (( Intervento presentato al 21. convegno Distributed Computing and Intelligent Technology International Conference : January 8–11 tenutosi a Bhubaneswar (India) nel 2025 [10.1007/978-3-031-81404-4_6].

A “Symbolic” Representation of Object-Nets

L. Capra
Co-primo
Membro del Collaboration Group
2025

Abstract

In this contribution, we extend the concept of a Petri net morphism to Elementary Object Systems (Eos). Eos are a net-within-nets formalism, that is, we allow the tokens of a Petri net to be Petri nets again. This nested structure has the consequence that even systems defined by very small Petri nets have a quite huge reachability graph. In this contribution, we use automorphism to describe symmetries of the Petri net topology. Since these symmetries carry over to markings as well, this leads to a condensed state space, too.
Automorphism; canonical representation; nets-within-nets; symmetry; state-space reduction;
Settore INFO-01/A - Informatica
gen-2025
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1144675
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