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 complexity of downward closure comparisons"
  Abstract: The downward closure of a language is the set of all (not necessarily contiguous) subwords of its members. It is well-known that the downward closure of every language is regular. Moreover, recent results show that downward closures are computable for quite powerful system models. One advantage of abstracting a language by its downward closure is that then equivalence and inclusion become decidable. In this work, we study the complexity of these two problems. More precisely, we consider the following decision problems: Given languages K and L from classes C and D, respectively, does the downward closure of K include (equal) that of L? These problems are investigated for finite automata, one-counter automata, context-free grammars, and reversal-bounded counter automata. For each combination, we prove a completeness result either for fixed or for arbitrary alphabets. Moreover, for Petri net languages, we show that both problems are Ackermann-hard and for higher-order pushdown automata of order k, we prove hardness for complements of nondeterministic k-fold exponential time. Digital Object Identifier 10.4230/LIPIcs...

Connected through hyperedge HE-1 (induced by source paper "scattered factor universality of words"):
  with members:
    - "k spectra of weakly c balanced words"
    - "languages ordered by the subword order"
    - "computing the k binomial complexity of the thue morse word"
    - "testing simon s congruence"
    - "multivariate fine grained complexity of longest common subsequence"
    - "decidability complexity and expressiveness of first order logic over the subword ordering"
    - "complexity of universality and related problems for partially ordered nfas"
    - "on the index of simon s congruence for piecewise testability"

Connected through hyperedge HE-2 (induced by source paper "reachability in vector addition systems is primitive recursive in fixed dimension"):
  with members:
    - "the reachability problem for petri nets is not elementary"
    - "vass reachability in three steps"
    - "unboundedness problems for languages of vector addition systems"
    - "on the upward downward closures of petri nets"
    - "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-3 (induced by source paper "k spectra of weakly c balanced words"):
  with members:
    - "decidability complexity and expressiveness of first order logic over the subword ordering"

Connected through hyperedge HE-4 (induced by source paper "existential length universality"):
  with members:
    - "green s relations in finite transformation semigroups"
    - "subclasses of presburger arithmetic and the weak exp hierarchy"
    - "emptiness and universality problems in timed automata with positive frequency"
    - "the computational complexity of universality problems for prefixes suffixes factors and subwords of regular languages"

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.FL(Formal Languages and Automata Theory)