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 "polynomial invariant generation for non deterministic recursive programs"):
  Abstract: We present a sound and complete method to generate inductive invariants consisting of polynomial inequalities for programs with polynomial updates. Our method is based on Positivstellensatze and an algorithm of Grigor'ev and Vorobjov [24] for solving systems of polynomial inequalities. To the best of our knowledge, this is the first method to guarantee completeness for polynomial inequality invariants. The worst-case complexity of our approach is subexponential, whereas the worst-case complexity of the previously-known complete method (Colon et al [12], CAV 2003), which could only handle linear invariants, is exponential. We also present experimental results on several academic examples that require polynomial invariants.

Includes members:
  Member "polynomial invariants for affine programs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "tight polynomial worst case bounds for loop programs")
  Member "bounded expectations resource analysis for probabilistic programs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "exponential automatic amortized resource analysis")
  Member "automated generation of non linear loop invariants utilizing hypergeometric sequences":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "lonely points in simplices")
  Member "non polynomial worst case analysis of recursive programs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "exponential automatic amortized resource analysis")
  Member "polynomial invariants by linear algebra":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "polynomial invariants for affine programs")
  Member "termination analysis of probabilistic programs through positivstellensatz s":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "tail bound analysis for probabilistic programs via central moments")

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)