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: "an extension of parikh s theorem beyond idempotence"
  Abstract: The commutative ambiguity cambG,X of a context-free grammar G with start symbol X assigns to each Parikh vector v the number of distinct leftmost derivations yielding a word with Parikh vector v. Based on the results on the generalization of Newton’s method to !-continuous semirings [EKL07b, EKL07a, EKL10], we show how to approximate cambG,X by means of rational formal power series, and give a lower bound on the convergence speed of these approximations. From the latter result we deduce that cambG,X itself is rational modulo the generalized idempotence identity k = k + 1 (for k some positive integer), and, subsequently, that it can be represented as a weighted sum of linear sets. This extends Parikh’s well-known result that the commutative image of context-free languages is semilinear (k = 1). Based on the well-known relationship between context-free grammars and algebraic systems over semirings [CS63, SS78, BR82, Kui97, Boz99], our results extend the work by Green et al. [GKT07] on the computation of the provenance of Datalog queries over commutative !-continuous semirings.

Connected through hyperedge HE-1 (induced by source paper "solving non linear horn clauses using a linear solver"):
  with members:
    - "decomposition by tree dimension in horn clause verification"
    - "decomposition by tree dimension in horn clause verification"
    - "experiments with a convex polyhedral analysis tool for logic programs"

Connected through hyperedge HE-2 (induced by source paper "interprocedural reachability for flat integer programs"):
  with members:
    - "underapproximation of procedure summaries for integer programs"
    - "safety problems are np complete for flat integer programs with octagonal loops"
    - "the reachability problem for vector addition systems with a stack is not elementary"
    - "taming past ltl and flat counter systems"
    - "approximating petri net reachability along context free traces"
    - "the octagon abstract domain"

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)