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: "on the problem of computing the probability of regular sets of trees"
  Abstract: We consider the problem of computing the probability of regular languages of infinite trees with respect to the natural coin-flipping measure. We propose an algorithm which computes the probability of languages recognizable by \emph{game automata}. In particular this algorithm is applicable to all deterministic automata. We then use the algorithm to prove through examples three properties of measure: (1) there exist regular sets having irrational probability, (2) there exist comeager regular sets having probability $0$ and (3) the probability of \emph{game languages} $W_{i,k}$, from automata theory, is $0$ if $k$ is odd and is $1$ otherwise.

Connected through hyperedge HE-1 (induced by source paper "the uniform measure of simple regular sets of infinite trees"):
  with members:
    - "conjunctive queries on probabilistic graphs combined complexity"
    - "probabilistic modal mu calculus with independent product"
    - "model checking stochastic branching processes"

Connected through hyperedge HE-2 (induced by source paper "reachability for branching concurrent stochastic games"):
  with members:
    - "greatest fixed points of probabilistic min max polynomial equations and reachability for branching markov decision processes"
    - "analysis of probabilistic basic parallel processes"
    - "model checking stochastic branching processes"
    - "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations"
    - "qualitative reachability in stochastic bpa games"
    - "the complexity of solving reachability games using value and strategy iteration"
    - "recursive concurrent stochastic games"

Connected through hyperedge HE-3 (induced by source paper "on computing the measures of first order definable sets of trees"):
  with members:
    - "conjunctive queries on probabilistic graphs combined complexity"
    - "probabilistic modal mu calculus with independent product"
    - "model checking stochastic branching processes"

Connected through hyperedge HE-4 (induced by source paper "monadic second order logic with measure and category quantifiers"):
  with members:
    - "how good is a strategy in a game with nature"
    - "emptiness of zero automata is decidable"
    - "the mso u theory of n is undecidable"

Connected through hyperedge HE-5 (induced by source paper "xpl an extended probabilistic logic for probabilistic transition systems"):
  with members:
    - "greatest fixed points of probabilistic min max polynomial equations and reachability for branching markov decision processes"
    - "probabilistic modal mu calculus with independent product"
    - "model checking with probabilistic tabled logic programming"
    - "model checking stochastic branching processes"
    - "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations"

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)