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

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Fahrenberg, Uli Legay, Axel [UCL]

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.

Document type Communication à un colloque (Conference Paper)
Publication date 2013
Language Anglais
Conference "MFPS XXIX - Twenty-ninth Conference on the Mathematical Foundations of Programming Semantics" (du 23/06/2013 au 25/06/2013)
Host document "Electronic Notes in Theoretical Computer Science"
Publisher Elsevier BV
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Bibliographic reference Fahrenberg, Uli ; Legay, Axel. History-Preserving Bisimilarity for Higher-Dimensional Automata via Open Maps.MFPS XXIX - Twenty-ninth Conference on the Mathematical Foundations of Programming Semantics (du 23/06/2013 au 25/06/2013). In: Electronic Notes in Theoretical Computer Science, Elsevier BV2013
Permanent URL https://hdl.handle.net/2078.1/210643