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 "the layer complexity of arthur merlin like communication"):
  Abstract: In communication complexity the Arthur-Merlin (AM) model is the most natural one that allows both randomness and non-determinism. Presently we do not have any super-logarithmic lower bound for the AM-complexity of an explicit function. Obtaining such a bound is a fundamental challenge to our understanding of communication phenomena. In this work we explore the gap between the known techniques and the complexity class AM. #R##N#In the first part we define a new natural class Small-advantage Layered Arthur-Merlin (SLAM) that have the following properties: #R##N#- SLAM is (strictly) included in AM and includes all previously known sub-AM classes with non-trivial lower bounds. #R##N#- SLAM is qualitatively stronger than the union of those classes. #R##N#- SLAM is a subject to the discrepancy bound: in particular, the inner product function does not have an efficient SLAM-protocol. #R##N#Structurally this can be summarised as #R##N#SBP $\cup$ UAM $\subset$ SLAM $\subseteq$ AM $\cap$ PP. #R##N#In the second part we ask why proving a lower bound of $\omega(\sqrt n)$ on the MA-complexity of an explicit function seems to be difficult. #R##N#Both of these results are related to the notion of layer complexity, which is, informally, the number of "layers of non-determinism" used by a protocol. We believe that further investigation of this concept may lead to better understanding of the communication model AM and to non-trivial lower bounds against it.

Includes members:
  Member "on the hardness of approximate and exact bichromatic maximum inner product":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "approximating subset sum is equivalent to min plus convolution")
  Member "on arthur merlin games in communication complexity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "vanishing error approximate degree and qma complexity")
  Member "rectangle size bounds and threshold covers in communication complexity":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the hardness of approximate and exact bichromatic maximum inner product")

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.CC(Computational Complexity)