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 probabilistic pushdown automata"
  Abstract: We consider the model checking problem for probabilistic#N#pushdown automata (pPDA) and properties expressible in various#N#probabilistic logics. We start with properties that can be#N#formulated as instances of a generalized random walk problem.#N#We prove that both qualitative and quantitative model checking#N#for this class of properties and pPDA is decidable. Then we#N#show that model checking for the qualitative fragment of the#N#logic PCTL and pPDA is also decidable. Moreover, we develop an#N#error-tolerant model checking algorithm for PCTL and the#N#subclass of stateless pPDA. Finally, we consider the class of#N#omega-regular properties and show that both qualitative and#N#quantitative model checking for pPDA is decidable.

Connected through hyperedge HE-1 (induced by source paper "deciding fast termination for probabilistic vass with nondeterminism"):
  with members:
    - "reachability in vector addition systems is primitive recursive in fixed dimension"
    - "the reachability problem for petri nets is not elementary"
    - "efficient algorithms for asymptotic bounds on termination time in vass"
    - "perfect half space games"
    - "automated recurrence analysis for almost linear expected runtime bounds"
    - "bounded expectations resource analysis for probabilistic programs"
    - "non polynomial worst case analysis of recursive programs"
    - "complexity hierarchies beyond elementary"

Connected through hyperedge HE-2 (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"
    - "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"
    - "linear encodings of bounded ltl model checking"

Connected through hyperedge HE-3 (induced by source paper "stochastic context free grammars regular languages and newton s method"):
  with members:
    - "upper bounds for newton s method on monotone polynomial systems and p time model checking of probabilistic one counter automata"
    - "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"
    - "computing the least fixed point of positive polynomial systems"
    - "computing least fixed points of probabilistic systems of polynomials"
    - "linear encodings of bounded ltl model checking"

Connected through hyperedge HE-4 (induced by source paper "upper bounds for newton s method on monotone polynomial systems and p time model checking of probabilistic one counter automata"):
  with members:
    - "exact algorithms for solving stochastic games"
    - "polynomial time algorithms for multi type branching processes and stochastic context free grammars"
    - "efficient analysis of probabilistic programs with an unbounded counter"
    - "computing the least fixed point of positive polynomial systems"
    - "linear encodings of bounded ltl model checking"

Connected through hyperedge HE-5 (induced by source paper "model checking with probabilistic tabled logic programming"):
  with members:
    - "inference in probabilistic logic programs with continuous random variables"
    - "clp bn constraint logic programming for probabilistic knowledge"
    - "the pita system tabling and answer subsumption for reasoning under uncertainty"
    - "the magic of logical inference in probabilistic programming"
    - "cp logic a language of causal probabilistic events and its relation to logic programming"
    - "bayesian logic programs"

Connected through hyperedge HE-6 (induced by source paper "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations"):
  with members:
    - "polynomial time algorithms for multi type branching processes and stochastic context free grammars"
    - "approximating the termination value of one counter mdps and stochastic games"
    - "computing the least fixed point of positive polynomial systems"
    - "linear encodings of bounded ltl model checking"

Connected through hyperedge HE-7 (induced by source paper "on the complexity of the equivalence problem for probabilistic automata"):
  with members:
    - "linear encodings of bounded ltl model checking"

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)