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 "termination of linear loops over the integers"):
  Abstract: We consider the problem of deciding termination of single-path while loops with integer variables, affine updates, and affine guard conditions. The question is whether such a loop terminates on all integer initial values. This problem is known to be decidable for the subclass of loops whose update matrices are diagonalisable, but the general case has remained open since being conjectured decidable by Tiwari in 2004. In this paper we show decidability of determining termination for arbitrary update matrices, confirming Tiwari's conjecture. For the class of loops considered in this paper, the question of deciding termination on a specific initial value is a longstanding open problem in number theory. The key to our decision procedure is in showing how to circumvent the difficulties inherent in deciding termination on a fixed initial value.

Includes members:
  Member "multiphase linear ranking functions and their relation to recurrent sets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "proving non termination via loop acceleration")
  Member "effective divergence analysis for linear recurrence sequences":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "cost analysis of nondeterministic probabilistic programs")
  Member "on multiphase linear ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the decidability of termination for polynomial loops")
  Member "on termination of integer linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a calculus for modular loop acceleration")
  Member "abstract acceleration of general linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a calculus for modular loop acceleration")
  Member "positivity problems for low order linear recurrence sequences":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the mortality problem from multiplicative matrix equations to linear recurrence sequences and beyond")
  Member "ranking functions for linear constraint loops":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "inferring lower runtime bounds for integer programs")

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)