On the topology of concurrent systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929327465037824 |
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| author | Faustino, Catarina Kahl, Thomas Lopes, Rodrigo |
| author_facet | Faustino, Catarina Kahl, Thomas Lopes, Rodrigo |
| contents | Higher-dimensional automata, i.e., pointed labeled precubical sets, are a powerful combinatorial-topological model for concurrent systems. In this paper, we show that for every (nonempty) connected polyhedron there exists a shared-variable system such that the higher-dimensional automaton modeling the state space of the system has the homotopy type of the polyhedron. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the topology of concurrent systems Faustino, Catarina Kahl, Thomas Lopes, Rodrigo Formal Languages and Automata Theory Logic in Computer Science Algebraic Topology 55U10, 68Q85, 05E45 Higher-dimensional automata, i.e., pointed labeled precubical sets, are a powerful combinatorial-topological model for concurrent systems. In this paper, we show that for every (nonempty) connected polyhedron there exists a shared-variable system such that the higher-dimensional automaton modeling the state space of the system has the homotopy type of the polyhedron. |
| title | On the topology of concurrent systems |
| topic | Formal Languages and Automata Theory Logic in Computer Science Algebraic Topology 55U10, 68Q85, 05E45 |
| url | https://arxiv.org/abs/2404.16492 |