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: "ackermannian and primitive recursive bounds with dickson s lemma"
  Abstract: Dickson's Lemma is a simple yet powerful tool widely used in decidability proofs, especially when dealing with counters or related data structures in algorithmics, verification and model-checking, constraint solving, logic, etc. While Dickson's Lemma is well-known, most computer scientists are not aware of the complexity upper bounds that are entailed by its use. This is mainly because, on this issue, the existing literature is not very accessible. We propose a new analysis of the length of bad sequences over $(\mathbb{N}^k,\leq)$, improving on earlier results and providing upper bounds that are essentially tight. This analysis is complemented by a ``user guide'' explaining through practical examples how to easily derive complexity upper bounds from Dickson's Lemma.

Connected through hyperedge HE-1 (induced by source paper "affine extensions of integer vector addition systems with states"):
  with members:
    - "the reachability problem for petri nets is not elementary"
    - "how hard is it to verify flat affine counter systems with the finite monoid property"
    - "reachability in two dimensional vector addition systems with states is pspace complete"
    - "integer vector addition systems with states"
    - "regular combinators for string transformations"
    - "decision problems for additive regular functions"
    - "bounded parikh automata"

Connected through hyperedge HE-2 (induced by source paper "complexity of controlled bad sequences over finite sets of mathbb n d"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "multiply recursive upper bounds with higman s lemma"
    - "alternating automata on data trees and xpath satisfiability"

Connected through hyperedge HE-3 (induced by source paper "synchronizing data words for register automata"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "timed pushdown automata revisited"
    - "alternating register automata on finite words and trees"
    - "ltl with the freeze quantifier and register automata"
    - "on the freeze quantifier in constraint ltl decidability and complexity"

Connected through hyperedge HE-4 (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"
    - "the parametric ordinal recursive complexity of post embedding problems"
    - "graph logics with rational relations"

Connected through hyperedge HE-5 (induced by source paper "relating timed and register automata"):
  with members:
    - "weak alternating timed automata"
    - "safety alternating automata on data words"
    - "on termination for faulty channel machines"
    - "ltl with the freeze quantifier and register automata"
    - "alternating timed automata"

Connected through hyperedge HE-6 (induced by source paper "history register automata"):
  with members:
    - "automata theory in nominal sets"
    - "weak and nested class memory automata"
    - "ordered navigation on multi attributed data words"
    - "context bounded analysis for concurrent programs with dynamic creation of threads"

Connected through hyperedge HE-7 (induced by source paper "demystifying reachability in vector addition systems"):
  with members:
    - "reasoning about data repetitions with counter systems"
    - "complexity hierarchies beyond elementary"
    - "reachability in two dimensional vector addition systems with states is pspace complete"
    - "an approach to computing downward closures"
    - "complexity bounds for ordinal based termination"
    - "the reachability problem for vector addition systems with a stack is not elementary"
    - "algorithmic verification of asynchronous programs"
    - "on selective unboundedness of vass"

Connected through hyperedge HE-8 (induced by source paper "nonelementary complexities for branching vass mell and extensions"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "implicational relevance logic is 2 exptime complete"
    - "solving parity games on integer vectors"
    - "reachability games on extended vector addition systems with states"
    - "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)