human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "lower bounds on separation automata for parity games"):
  Abstract: Several recently developed quasi-polynomial time algorithms for Parity Games rely on construction of an automaton with quasi-polynomial number of states that separates specific languages of infinite words. This motivates a question of whether a matching quasi-polynomial lower bound on the number of states can be proved. This would mean impossibility for a separation approach to give a~polynomial-time algorithm for Parity Games. #R##N#In this paper we study a restricted version of the problem. We bound the number of moves to be read by a separation automaton before it makes a decision. In the general problem there is no restriction of this sort. But we show that lower bounds for unrestricted version of the problem are related to lower bounds for a restricted one with some explicit bound on the number of moves. #R##N#We apply communication complexity techniques to get an exponential lower bound on the number of states of a separation automata which makes a decision after reading linear number of moves. #R##N#We also prove an exponential lower bound on the number of states of any deterministic automaton which outputs any repetition in an infinite string after reading some finite prefix of it. The motivation of this result in context of separation automata is discussed in a paper. #R##N#Finally, we show an upper bound on a communication problem that we call Inevitable Intersection problem. Using this upper bound we conclude that a certain class of reductions from communication complexity are unable to show super-polynomial lower bounds on separation automata.

Includes members:
  Member "universal trees grow inside separating automata quasi polynomial lower bounds for parity games":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the strahler number of a parity game")
  Member "an ordered approach to solving parity games in quasi polynomial time and quasi linear space":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "parity games zielonka s algorithm in quasi polynomial time")
  Member "succinct progress measures for solving parity games":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a universal attractor decomposition algorithm for parity games")
  Member "communication complexity of promise problems and their applications to finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an application of communication complexity kolmogorov complexity and extremal combinatorics to parity games")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.FL(Formal Languages and Automata Theory)