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 "ranking functions for linear constraint loops"):
  Abstract: In this paper we study the complexity of the problems: given a loop, described by linear constraints over a finite set of variables, is there a linear or lexicographical-linear ranking function for this loop? While existence of such functions implies termination, these problems are not equivalent to termination. When the variables range over the rationals (or reals), it is known that both problems are PTIME decidable. However, when they range over the integers, whether for single-path or multipath loops, the complexity has not yet been determined. We show that both problems are coNP-complete. However, we point out some special cases of importance of PTIME complexity. We also present complete algorithms for synthesizing linear and lexicographical-linear ranking functions, both for the general case and the special PTIME cases. Moreover, in the rational setting, our algorithm for synthesizing lexicographical-linear ranking functions extends existing ones, because our class of ranking functions is more general, yet it has polynomial time complexity.

Includes members:
  Member "ranking function synthesis for linear lasso programs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "ranking templates for linear loops")
  Member "deciding conditional termination":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a calculus for modular loop acceleration")
  Member "linear ranking for linear lasso programs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "proving liveness of parameterized programs")
  Member "proving termination starting from the end":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on multiphase linear ranking functions")
  Member "eventual linear ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "multiphase linear ranking functions and their relation to recurrent sets")
  Member "monotonicity constraints for termination in the integer domain":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "smarter features simpler learning")
  Member "an improved tight closure algorithm for integer octagonal constraints":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "incrementally closing octagons")
  Member "the octagon abstract domain":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "reludiff differential verification of deep neural networks")

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.PL(Programming Languages)