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: "model checking stochastic branching processes"
  Abstract: Stochastic branching processes are a classical model for describing random trees, which have applications in numerous fields including biology, physics, and natural language processing. In particular, they have recently been proposed to describe parallel programs with stochastic process creation. In this paper, we consider the problem of model checking stochastic branching process. Given a branching process and a deterministic parity tree automaton, we are interested in computing the probability that the generated random tree is accepted by the automaton. We show that this probability can be compared with any rational number in PSPACE, and with 0 and 1 in polynomial time. In a second part, we suggest a tree extension of the logic PCTL, and develop a PSPACE algorithm for model checking a branching process against a formula of this logic. We also show that the qualitative fragment of this logic can be model checked in polynomial time.

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"
    - "on the problem of computing the probability of regular sets of trees"
    - "probabilistic modal mu calculus with independent product"

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"
    - "on the problem of computing the probability of regular sets of trees"
    - "analysis of probabilistic basic parallel 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"
    - "on the problem of computing the probability of regular sets of trees"
    - "probabilistic modal mu calculus with independent product"

Connected through hyperedge HE-4 (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"
    - "on the problem of computing the probability of regular sets of trees"
    - "probabilistic modal mu calculus with independent product"
    - "model checking with probabilistic tabled logic programming"
    - "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations"

Connected through hyperedge HE-5 (induced by source paper "greatest fixed points of probabilistic min max polynomial equations and reachability for branching markov decision processes"):
  with members:
    - "analysis of probabilistic basic parallel processes"
    - "polynomial time algorithms for multi type branching processes and stochastic context free grammars"
    - "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations"
    - "qualitative reachability in stochastic bpa games"
    - "linear encodings of bounded ltl model checking"
    - "model checking probabilistic pushdown automata"

Connected through hyperedge HE-6 (induced by source paper "on the problem of computing the probability of regular sets of trees"):
  with members:
    - "łukasiewicz mu calculus"
    - "probabilistic modal mu calculus with independent product"

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)