human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "re pairing brackets"):
  Abstract: Consider the following one-player game. Take a well-formed sequence of opening and closing brackets. As a move, the player can pair any opening bracket with any closing bracket to its right, erasing them. The goal is to re-pair (erase) the entire sequence, and the complexity of a strategy is measured by its width: the maximum number of nonempty segments of symbols (separated by blank space) seen during the play. #R##N#For various initial sequences, we prove upper and lower bounds on the minimum width sufficient for re-pairing. (In particular, the sequence associated with the complete binary tree of height $n$ admits a strategy of width sub-exponential in $\log n$.) Our two key contributions are (1) lower bounds on the width and (2) their application in automata theory: quasi-polynomial lower bounds on the translation from one-counter automata to Parikh-equivalent nondeterministic finite automata. The latter result answers a question by Atig et al. (2016).

Includes members:
  Member "complexity of problems of commutative grammars":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "efficient quantile computation in markov chains via counting problems for parikh images")
  Member "decision problems for additive regular functions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "pumping lemmas for weighted automata")
  Member "pebble games proof complexity and time space trade offs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "nullstellensatz size degree trade offs from reversible pebbling")
  Member "algorithmic verification of asynchronous programs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "parikh s theorem a simple and direct automaton construction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the parikh property for weighted context free grammars")
  Member "mso definable string transductions and two way finite state transducers":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "first order tree to tree functions")

Question: Please tell me which class the source paper 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)