History-Preserving Bisimilarity for Higher-Dimensional Automata via Open Maps

Uli Fahrenberg (1) , Axel Legay (1)

1 ESTASYS - Efficient STAtistical methods in SYstems of systems

We show that history-preserving bisimilarity for higher-dimensional automata has a simple characterization directly in terms of higher-dimensional transitions. This implies that it is decidable for finite higher-dimensional automata. To arrive at our characterization, we apply the open-maps framework of Joyal, Nielsen and Winskel in the category of unfoldings of precubical sets.

Mots clés: higher-dimensional automaton; history-preserving bisimilarity; homotopy; unfolding; concurrency

Domaines: Informatique [cs]; Théorie et langage formel [cs.FL]

Uli Fahrenberg, Axel Legay. History-Preserving Bisimilarity for Higher-Dimensional Automata via Open Maps. MFPS XXIX - Twenty-ninth Conference on the Mathematical Foundations of Programming Semantics, Jun 2013, New Orleans, United States. pp.165 - 178, ⟨10.1016/j.entcs.2013.09.012⟩. ⟨hal-01087917⟩