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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
Inria Rennes – Bretagne Atlantique , IRISA-D4 - LANGAGE ET GÉNIE LOGICIEL
Abstract : 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.
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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⟩

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