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: "the parametric ordinal recursive complexity of post embedding problems"
  Abstract: Post Embedding Problems are a family of decision problems based on the interaction of a rational relation with the subword embedding ordering, and are used in the literature to prove non multiply-recursive complexity lower bounds. We refine the construction of Chambart and Schnoebelen (LICS 2008) and prove parametric lower bounds depending on the size of the alphabet.

Connected through hyperedge HE-1 (induced by source paper "complexity hierarchies beyond elementary"):
  with members:
    - "relating timed and register automata"
    - "demystifying reachability in vector addition systems"
    - "nonelementary complexities for branching vass mell and extensions"
    - "on freeze ltl with ordered attributes"
    - "trace inclusion for one counter nets revisited"
    - "the power of priority channel systems"
    - "graph logics with rational relations"
    - "senescent ground tree rewrite systems"

Connected through hyperedge HE-2 (induced by source paper "on reachability for unidirectional channel systems extended with regular tests"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "generalized post embedding problems"
    - "graph logics with rational relations"
    - "the power of well structured systems"
    - "reachability analysis of communicating pushdown systems"
    - "cutting through regular post embedding problems"
    - "reachability of communicating timed processes"
    - "multiply recursive upper bounds with higman s lemma"

Connected through hyperedge HE-3 (induced by source paper "generalized post embedding problems"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "graph logics with rational relations"
    - "cutting through regular post embedding problems"
    - "multiply recursive upper bounds with higman s lemma"
    - "alternating timed automata"

Connected through hyperedge HE-4 (induced by source paper "solving stochastic b uchi games on infinite arenas with a finite attractor"):
  with members:
    - "determinacy in stochastic games with unbounded payoff functions"
    - "approximating the termination value of one counter mdps and stochastic games"
    - "qualitative reachability in stochastic bpa games"
    - "multiply recursive upper bounds with higman s lemma"
    - "one counter stochastic games"
    - "recursive concurrent stochastic games"
    - "on termination for faulty channel machines"
    - "verifying nondeterministic probabilistic channel systems against ω regular linear time properties"

Connected through hyperedge HE-5 (induced by source paper "cutting through regular post embedding problems"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "graph logics with rational relations"
    - "multiply recursive upper bounds with higman s lemma"
    - "alternating timed automata"

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)