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: "nonelementary complexities for branching vass mell and extensions"
  Abstract: We study the complexity of reachability problems on branching extensions of vector addition systems, which allows us to derive new non-elementary complexity bounds for fragments and variants of propositional linear logic. We show that provability in the multiplicative exponential fragment is T ower -hard already in the affine case—and hence non-elementary. We match this lower bound for the full propositional affine linear logic, proving its T ower -completeness. We also show that provability in propositional contractive linear logic is A ckermann -complete.

Connected through hyperedge HE-1 (induced by source paper "the reachability problem for petri nets is not elementary"):
  with members:
    - "reachability in vector addition systems is primitive recursive in fixed dimension"
    - "linear equations with ordered data"
    - "verifas a practical verifier for artifact systems"
    - "reasoning about data repetitions with counter systems"
    - "complexity hierarchies beyond elementary"
    - "reachability in two dimensional unary vector addition systems with states is nl complete"
    - "demystifying reachability in vector addition systems"
    - "reachability in two dimensional vector addition systems with states is pspace complete"

Connected through hyperedge HE-2 (induced by source paper "complexity hierarchies beyond elementary"):
  with members:
    - "relating timed and register automata"
    - "demystifying reachability in vector addition systems"
    - "on freeze ltl with ordered attributes"
    - "trace inclusion for one counter nets revisited"
    - "the power of priority channel systems"
    - "the parametric ordinal recursive complexity of post embedding problems"
    - "graph logics with rational relations"
    - "senescent ground tree rewrite systems"

Connected through hyperedge HE-3 (induced by source paper "a polynomial time algorithm for reachability in branching vass in dimension one"):
  with members:
    - "reachability in two dimensional unary vector addition systems with states is nl complete"
    - "demystifying reachability in vector addition systems"
    - "algorithmic verification of asynchronous programs"

Connected through hyperedge HE-4 (induced by source paper "implicational relevance logic is 2 exptime complete"):
  with members:
    - "fo2 1 on data trees data tree automata and branching vector addition systems"
    - "ackermannian and primitive recursive bounds with dickson s lemma"
    - "ticket entailment is decidable"

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)