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: "ultimate positivity is decidable for simple linear recurrence sequences"
  Abstract: We consider the decidability and complexity of the Ultimate Positivity Problem, which asks whether all but finitely many terms of a given rational linear recurrence sequence (LRS) are positive. Using lower bounds in Diophantine approximation concerning sums of S-units, we show that for simple LRS (those whose characteristic polynomial has no repeated roots) the Ultimate Positivity Problem is decidable in polynomial space. If we restrict to simple LRS of a fixed order then we obtain a polynomial-time decision procedure. As a complexity lower bound we show that Ultimate Positivity for simple LRS is hard for co$\exists\mathbb{R}$, i.e., the class of problems solvable in the universal theory of the reals (which lies between coNP and PSPACE).

Connected through hyperedge HE-1 (induced by source paper "pumping lemmas for weighted automata"):
  with members:
    - "a robust class of linear recurrence sequences"
    - "weak cost register automata are still powerful"
    - "descriptive complexity for counting complexity classes"
    - "copyless cost register automata structure expressiveness and closure properties"
    - "on the positivity problem for simple linear recurrence sequences"
    - "decision problems for additive regular functions"
    - "deciding unambiguity and sequentiality from a finitely ambiguous max plus automaton"

Connected through hyperedge HE-2 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems"):
  with members:
    - "computing real roots of real polynomials and now for real"
    - "symbolic numeric tools for analytic combinatorics in several variables"
    - "bit complexity for multi homogeneous polynomial system solving application to polynomial minimization"
    - "rigorous multiple precision evaluation of d finite functions in sagemath"
    - "multiple binomial sums"
    - "computing periods of rational integrals"
    - "on the complexity of computing with planar algebraic curves"
    - "creative telescoping for rational functions using the griffiths dwork method"

Connected through hyperedge HE-3 (induced by source paper "on the monniaux problem in abstract interpretation"):
  with members:
    - "o minimal invariants for linear loops"
    - "polynomial invariants for affine programs"
    - "on the decidability of the existence of polyhedral invariants in transition systems"
    - "semialgebraic invariant synthesis for the kannan lipton orbit problem"
    - "the octagon abstract domain"

Connected through hyperedge HE-4 (induced by source paper "the semialgebraic orbit problem"):
  with members:
    - "the polytope collision problem"
    - "the polyhedron hitting problem"
    - "on the complexity of the orbit problem"

Connected through hyperedge HE-5 (induced by source paper "distribution based objectives for markov decision processes"):
  with members:
    - "controlling a population"
    - "on the polytope escape problem for continuous linear dynamical systems"
    - "robust synchronization in markov decision processes"
    - "infinite synchronizing words for probabilistic automata erratum"
    - "decidable problems for probabilistic automata on infinite words"

Connected through hyperedge HE-6 (induced by source paper "on the identity problem for the special linear group and the heisenberg group"):
  with members:
    - "on termination of integer linear loops"
    - "on the positivity problem for simple linear recurrence sequences"
    - "on the complexity of the orbit problem"

Connected through hyperedge HE-7 (induced by source paper "decision problems on unary probabilistic and quantum automata"):
  with members:
    - "classical and quantum realtime alternating automata"
    - "on the positivity problem for simple linear recurrence sequences"
    - "positivity problems for low order linear recurrence sequences"

Connected through hyperedge HE-8 (induced by source paper "decidability of the membership problem for 2 times 2 integer matrices"):
  with members:
    - "tighter undecidability bounds for matrix mortality zero in the corner problems and more"
    - "on the positivity problem for simple linear recurrence sequences"
    - "on the complexity of the orbit problem"

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.CC(Computational Complexity)