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: "liveness of parameterized timed networks"
  Abstract: We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or S-automata. Such specifications are very expressive (they strictly subsume omega-regular specifications), and easily express complex liveness and safety properties. Our results are obtained by modeling the passage of time using symmetric broadcast, and by solving the model checking problem of parameterized systems of un-timed processes communicating using k-wise rendezvous and symmetric broadcast. Our decidability proof makes use of automata theory, rational linear programming, and geometric reasoning for solving certain reachability questions in vector addition systems; we believe these proof techniques will be useful in solving related problems.

Connected through hyperedge HE-1 (induced by source paper "deciding fast termination for probabilistic vass with nondeterminism"):
  with members:
    - "reachability in vector addition systems is primitive recursive in fixed dimension"
    - "the reachability problem for petri nets is not elementary"
    - "efficient algorithms for asymptotic bounds on termination time in vass"
    - "perfect half space games"
    - "automated recurrence analysis for almost linear expected runtime bounds"
    - "bounded expectations resource analysis for probabilistic programs"
    - "non polynomial worst case analysis of recursive programs"
    - "complexity hierarchies beyond elementary"

Connected through hyperedge HE-2 (induced by source paper "the polynomial complexity of vector addition systems with states"):
  with members:
    - "efficient algorithms for asymptotic bounds on termination time in vass"
    - "difference constraints an adequate abstraction for complexity analysis of imperative programs"
    - "a simple and scalable static analysis for bound analysis and amortized complexity analysis"

Connected through hyperedge HE-3 (induced by source paper "efficient algorithms for asymptotic bounds on termination time in vass"):
  with members:
    - "perfect half space games"
    - "complexity hierarchies beyond elementary"
    - "demystifying reachability in vector addition systems"
    - "fixed dimensional energy games are in pseudo polynomial time"
    - "a simple and scalable static analysis for bound analysis and amortized complexity analysis"
    - "the complexity of multi mean payoff and multi energy games"
    - "hyperplane separation technique for multidimensional mean payoff games"
    - "generalized mean payoff and energy games"

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)