human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "lower bounds for complementation of omega automata via the full automata technique"
  Abstract: In this paper, we first introduce a lower bound technique for the state#N#complexity of transformations of automata. Namely we suggest first considering#N#the class of full automata in lower bound analysis, and later reducing the size#N#of the large alphabet via alphabet substitutions. Then we apply such technique#N#to the complementation of nondeterministic \omega-automata, and obtain several#N#lower bound results. Particularly, we prove an \omega((0.76n)^n) lower bound#N#for B\"uchi complementation, which also holds for almost every complementation#N#or determinization transformation of nondeterministic omega-automata, and prove#N#an optimal (\omega(nk))^n lower bound for the complementation of generalized#N#B\"uchi automata, which holds for Streett automata as well.

Connected through hyperedge HE-1 (induced by source paper "alternating weak automata from universal trees"):
  with members:
    - "a pseudo quasi polynomial algorithm for solving mean payoff parity games"
    - "universal trees grow inside separating automata quasi polynomial lower bounds for parity games"
    - "parity games and universal graphs"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"

Connected through hyperedge HE-2 (induced by source paper "operations on weakly recognizing morphisms"):
  with members:
    - "efficient algorithms for morphisms over omega regular languages"

Connected through hyperedge HE-3 (induced by source paper "state of buchi complementation"):
  with members:
    - "buchi complementation and size change termination"
    - "b uchi complementation made tight"
    - "antichains for the automata based approach to model checking"
    - "enriched mu calculi module checking"
    - "from nondeterministic b uchi and streett automata to deterministic parity automata"
    - "decisive markov chains"

Connected through hyperedge HE-4 (induced by source paper "tight bounds for complementing parity automata"):
  with members:
    - "determinising parity automata"
    - "a tight lower bound for streett complementation"
    - "tight upper bounds for streett and parity complementation"
    - "b uchi complementation made tight"

Connected through hyperedge HE-5 (induced by source paper "determinising parity automata"):
  with members:
    - "tight upper bounds for streett and parity complementation"
    - "b uchi complementation made tight"

Question: Please tell me which class the center node 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.LO(Logic in Computer Science)