On the topology of concurrent systems

التفاصيل البيبلوغرافية
العنوان: On the topology of concurrent systems
المؤلفون: Faustino, Catarina, Kahl, Thomas, Lopes, Rodrigo
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Computer Science - Formal Languages and Automata Theory, Computer Science - Logic in Computer Science, Mathematics - Algebraic Topology, 55U10, 68Q85, 05E45
الوصف: 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.
Comment: 24 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.16492
رقم الأكسشن: edsarx.2404.16492
قاعدة البيانات: arXiv