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P2 Controlling a population

控制一个种群
LMCS vol.Volume 15, Issue 32019匹配度 1/10 · 该论文属于自动机理论与博弈控制,研究有限状态种群在统一动作下的同步控制问题,与用户关注的静态分析、LLM/Agent、浮点程序分析、贝叶斯程序分析等方向均无直接关联。虽然涉及形式化方法,但并未落到程序分析、验证或 LLM 交叉场景上。引用 3 inbox
Nathalie Bertrand, Miheer Dewaskar, Blaise Genest, Hugo Gimbert, Adwait Amit Godbole
crossref: 2026-09-10

AI 速览

一句话:提出种群控制问题:同一控制器对所有有限状态个体施加相同动作,能否在任意个体非确定性反应下同步驱动任意数量个体到目标状态。

论文引入一种新的控制场景:由有限状态系统建模的个体种群受到统一控制,控制器只能对所有个体施加同一动作,灵感来自酵母种群控制(只能改变所有细胞共享的环境)。研究同步问题:无论每个个体如何反应,控制器能否同步地将所有个体驱动到目标状态。每个个体用同一个非确定性有限状态自动机(NFA)表示,整个系统编码为二人博弈:Controller 选择动作,Agents 为每个个体消解非确定性。m 个个体对应 m-population game,由此提出参数化控制问题:Controller 能否对所有 m∈N 都控制 m-population game。该文是 Concur 2017 扩展摘要的期刊版,包含完整证明。

问题
研究如何用统一动作控制由同一非确定性有限状态自动机建模的个体种群,使其在任意个体非确定性反应下同步到达目标状态,并判定该控制问题对任意种群规模是否成立。
方法
将每个个体建模为同一非确定性有限状态自动机,把 m 个个体与控制器组成的系统编码为二人博弈(Controller 选动作,Agents 消解非确定性),由此定义参数化种群控制问题。
评估
摘要未报告实验评估;论文通过形式化建模、博弈论分析与完整证明(期刊版)来研究该问题的可解性。
原文摘要(Abstract)

We introduce a new setting where a population of agents, each modelled by a finite-state system, are controlled uniformly: the controller applies the same action to every agent. The framework is largely inspired by the control of a biological system, namely a population of yeasts, where the controller may only change the environment common to all cells. We study a synchronisation problem for such populations: no matter how individual agents react to the actions of the controller, the controller aims at driving all agents synchronously to a target state. The agents are naturally represented by a non-deterministic finite state automaton (NFA), the same for every agent, and the whole system is encoded as a 2-player game. The first player (Controller) chooses actions, and the second player (Agents) resolves non-determinism for each agent. The game with m agents is called the m -population game. This gives rise to a parameterized control problem (where control refers to 2 player games), namely the population control problem: can Controller control the m-population game for all m in N whatever Agents does?Comment: This is a journal version of the extended abstract arXiv:1707.02058 which appeared in Concur 2017, together with proofs

链接与引用

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BibTeX
@article{paperbot779,
  title = {Controlling a population},
  author = {Nathalie Bertrand and Miheer Dewaskar and Blaise Genest and Hugo Gimbert and Adwait Amit Godbole},
  journal = {Logical Methods in Computer Science},
  volume = {Volume 15, Issue 3},
  year = {2019},
  doi = {10.23638/lmcs-15(3:6)2019}
}