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 "pumping lemmas for weighted automata"):
  Abstract: We present pumping lemmas for five classes of functions definable by fragments of weighted automata over the min-plus semiring, the max-plus semiring and the semiring of natural numbers. As a corollary we show that the hierarchy of functions definable by unambiguous, finitely-ambiguous, polynomially-ambiguous weighted automata, and the full class of weighted automata is strict for the min-plus and max-plus semirings.

Includes members:
  Member "a robust class of linear recurrence sequences":
    also connected through other hyperedges:
      (none)
  Member "weak cost register automata are still powerful":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a robust class of linear recurrence sequences")
  Member "descriptive complexity for counting complexity classes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "efficient logspace classes for enumeration counting and uniform generation")
  Member "copyless cost register automata structure expressiveness and closure properties":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on polynomial recursive sequences")
  Member "on the positivity problem for simple linear recurrence sequences":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the mortality problem from multiplicative matrix equations to linear recurrence sequences and beyond")
  Member "decision problems for additive regular functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "affine extensions of integer vector addition systems with states")
  Member "ultimate positivity is decidable for simple linear recurrence sequences":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "effective coefficient asymptotics of multivariate rational functions via semi numerical algorithms for polynomial systems")
  Member "deciding unambiguity and sequentiality from a finitely ambiguous max plus automaton":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "weight annotation in information extraction")

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.LO(Logic in Computer Science)