General-purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this paper, we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably correct controllers for systems with tens of thousands of states. The key ingredients of the solution are an aggregate abstraction procedure for mildly heterogeneous systems and a formulation of counting constraints as linear inequalities.

中文翻译：

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具有计数约束的排列对称高维系统的控制综合


通用的构造校正综合方法仅限于低维或简单规格的系统。在本文中，我们考虑高度对称的计数问题，并利用对称性为具有数万个状态的系统合成可证明正确的控制器。该解决方案的关键要素是轻度异构系统的聚合抽象过程以及将计数约束表述为线性不等式。