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 "stochastic context free grammars regular languages and newton s method"):
  Abstract: We study the problem of computing the probability that a given stochastic context-free grammar (SCFG), G, generates a string in a given regular language L(D) (given by a DFA, D). This basic problem has a number of applications in statistical natural language processing, and it is also a key necessary step towards quantitative \omega-regular model checking of stochastic context-free processes (equivalently, 1-exit recursive Markov chains, or stateless probabilistic pushdown processes). #R##N#We show that the probability that G generates a string in L(D) can be computed to within arbitrary desired precision in polynomial time (in the standard Turing model of computation), under a rather mild assumption about the SCFG, G, and with no extra assumption about D. We show that this assumption is satisfied for SCFG's whose rule probabilities are learned via the well-known inside-outside (EM) algorithm for maximum-likelihood estimation (a standard method for constructing SCFGs in statistical NLP and biological sequence analysis). Thus, for these SCFGs the algorithm always runs in P-time.

Includes members:
  Member "upper bounds for newton s method on monotone polynomial systems and p time model checking of probabilistic one counter automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "shortest paths in one counter systems")
  Member "polynomial time algorithms for multi type branching processes and stochastic context free grammars":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "greatest fixed points of probabilistic min max polynomial equations and reachability for branching markov decision processes")
  Member "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "reachability for branching concurrent stochastic games")
  Member "computing the least fixed point of positive polynomial systems":
    also connected through other hyperedges:
      - 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")
  Member "computing least fixed points of probabilistic systems of polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "model checking stochastic branching processes")
  Member "linear encodings of bounded ltl model checking":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "an abstraction free method for multi robot temporal logic optimal control synthesis")
  Member "model checking probabilistic pushdown automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "deciding fast termination for probabilistic vass with nondeterminism")

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)