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Cubical sets are generalized transition systems

by: E Goubault
(2001)


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We show in this article that "labelled" cubical sets (or HigherDimensional Automata) are a natural generalization of transition systems and asynchronous transition systems. This generalizes an older result of [14] which was only holding with precubical sets and subcategories of the classical (see [29]) categories of transition systems and asynchronous transition systems. This opens up new promises on the actual use of geometric methods (such as [8]) and on comparisons with other methods...


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