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- W1483326136 abstract "We explore the combinatorial properties of the branchingareas of execu- tion paths in higher dimensional automata. Mathematically, this means that we inves- tigate the combinatorics of the negative corner (or branching) homology of a globular ω-category and the combinatorics of a new homology theory called the reduced branch- ing homology. The latter is the homology of the quotient of the branching complex by the sub-complex generated by its thin elements. Conjecturally it coincides with the non reduced theory for higher dimensional automata, that is ω-categories freely generated by precubical sets. As application, we calculate the branchinghomolog y of some ω- categories and we give some invariance results for the reduced branching homology. We only treat the branchingside. The merg ingside, that is the case of merg ingareas of execution paths is similar and can be easily deduced from the branchingside." @default.
- W1483326136 created "2016-06-24" @default.
- W1483326136 creator A5076299516 @default.
- W1483326136 date "1999-12-08" @default.
- W1483326136 modified "2023-09-23" @default.
- W1483326136 title "COMBINATORICS OF BRANCHINGS IN HIGHER DIMENSIONAL AUTOMATA" @default.
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