Partial Higher-dimensional Automata

We propose a generalization of higher-dimensional automata, partial HDA. Unlike HDA, and also extending event structures and Petri nets, partial HDA can model phenomena such as priorities or the disabling of an event by another event. Using open maps and unfoldings, we introduce a natural notion of (higher-dimensional) bisimilarity for partial HDA and relate it to history-preserving bisimilarity and split bisimilarity. Higher-dimensional bisimilarity has a game characterization and is decidable in polynomial time.

• Type: Journal
• Year: 2015
• Where: CALCO
• Authors: Ulrich Fahrenberg, Axel Legay
• Keywords: CALCO 2015, Mathematics