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Commit 22b0b343 authored by Luigi Santocanale's avatar Luigi Santocanale
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......@@ -1031,7 +1031,8 @@ In our first main result, we show that (mixed) ω-algebraic systems can be trans
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<td align="right"><a href="http://www.timeanddate.com/worldclock/fixedtime.html?iso=2021-11-05T16:20:00">17:20</a></td>
<td align="left"><i ><u >Uli Fahrenberg</u>, Christian Johansen, Georg Struth, Krzysztof Ziemiański</i></td>
<td align="left"><i ><u >Uli Fahrenberg</u>, Christian Johansen, Georg
Struth and Krzysztof Ziemiański</i></td>
<td align="left", width="60%">
<a href="javascript:toggleDiv('T43')">Languages of Higher-Dimensional Automata (short talk)</a>
<div style="display:none", id="T43"><br /><br />We introduce languages of higher-dimensional automata (HDAs) and develop some of their properties. To this end, we define a new category of precubical sets, uniquely naturally isomorphic to the standard one, and introduce a notion of event consistency. HDAs are then finite, labeled, event-consistent precubical sets with distinguished subsets of initial and accepting cells. Their languages are sets of interval orders closed under subsumption; as a major technical step we expose a bijection between interval orders and a subclass of HDAs. We show that any finite subsumption-closed set of interval orders is the language of an HDA, that languages of HDAs are closed under binary unions and parallel composition, and that bisimilarity implies language equivalence.
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