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: "complexity of problems of commutative grammars"
  Abstract: We consider commutative regular and context-free grammars, or, in other#N#words, Parikh images of regular and context-free languages. By using linear#N#algebra and a branching analog of the classic Euler theorem, we show that,#N#under an assumption that the terminal alphabet is fixed, the membership problem#N#for regular grammars (given v in binary and a regular commutative grammar G,#N#does G generate v?) is P, and that the equivalence problem for context free#N#grammars (do G_1 and G_2 generate the same language?) is in $\mathrm{\Pi_2^P}$.

Connected through hyperedge HE-1 (induced by source paper "re pairing brackets"):
  with members:
    - "decision problems for additive regular functions"
    - "pebble games proof complexity and time space trade offs"
    - "algorithmic verification of asynchronous programs"
    - "parikh s theorem a simple and direct automaton construction"
    - "mso definable string transductions and two way finite state transducers"

Connected through hyperedge HE-2 (induced by source paper "efficient quantile computation in markov chains via counting problems for parikh images"):
  with members:
    - "counting euler tours in undirected bounded treewidth graphs"
    - "unifying two views on multiple mean payoff objectives in markov decision processes"
    - "multidimensional beyond worst case and almost sure problems for mean payoff objectives"
    - "the complexity of the kth largest subset problem and related problems"
    - "variations on the stochastic shortest path problem"
    - "the odds of staying on budget"
    - "percentile queries in multi dimensional markov decision processes"
    - "computing quantiles in markov reward models"

Connected through hyperedge HE-3 (induced by source paper "characterization and complexity results on jumping finite automata"):
  with members:
    - "on basic properties of jumping finite automata"
    - "learning and designing stochastic processes from logical constraints"
    - "two results on discontinuous input processing"
    - "commutative languages and their composition by consensual methods"
    - "converting nondeterministic automata and context free grammars into parikh equivalent one way and two way deterministic automata"
    - "petri net reachability graphs decidability status of first order properties"
    - "parikh s theorem a simple and direct automaton construction"
    - "bounded parikh automata"

Connected through hyperedge HE-4 (induced by source paper "context free commutative grammars with integer counters and resets"):
  with members:
    - "approaching the coverability problem continuously"
    - "demystifying reachability in vector addition systems"
    - "tightening the complexity of equivalence problems for commutative grammars"
    - "unary pushdown automata and straight line programs"
    - "integer vector addition systems with states"
    - "subclasses of presburger arithmetic and the weak exp hierarchy"
    - "semilinearity and context freeness of languages accepted by valence automata"

Connected through hyperedge HE-5 (induced by source paper "tightening the complexity of equivalence problems for commutative grammars"):
  with members:
    - "integer vector addition systems with states"
    - "subclasses of presburger arithmetic and the weak exp hierarchy"

Connected through hyperedge HE-6 (induced by source paper "deterministic automata for unordered trees"):
  with members:
    - "static and dynamic semantics of nosql 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)