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 complexity of simulation and exotic matrix multiplications"):
  Abstract: We study the complexity of computing the simulation preorder of finite transition systems, a crucial problem in model checking of temporal logic, showing that it is strongly related to some variants of matrix multiplication. We first show that any O(n)-time algorithm for n-states transition systems can be used to compute the product of two n × n boolean matrices in O(n) time. This reduction is the first evidence of the difficulty to get a truly subcubic combinatorial algorithm for the simulation preorder, and holds even restricting the problem to acyclic systems. For acyclic Kripke structures, we show an algorithm that employs fast (boolean) matrix multiplication and runs in n time (where ω < 2.4 is the exponent of matrix multiplication). Moreover, we exhibit O(n)-size canonical certificates that can be checked by verifying a constant number of n × n standard matrix multiplications over the integers, i.e., in O(n) (randomized) time. For cyclic structures, we give some evidence that the problem might possibly be harder. We define the max-semi-boolean matrix multiplication (MSBMM) as the matrix multiplication on the semi-ring (max,×) where one of the two matrices contains only 0’s and 1’s. We obtain O(n)-size canonical certificates for cyclic Kripke structures that can be checked by verifying a constant number of n × n MSBMMs. Then, we show that verifying a n × n MSBMM can be reduced to verifying the simulation preorder in a O(n log n)-states Kripke structure. Hence, for any α ≥ 2, if MSBMM can be verified in O(n) time, then the simulation preorder admits certificates that can be checked in O(n) time, otherwise the simulation preorder does not admit a O(n)-time algorithm. 1 ar X iv :1 60 5. 02 15 6v 1 [ cs .C C ] 7 M ay 2 01 6

Includes members:
  Member "three simulation algorithms for labelled transition systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "foundation for a series of efficient simulation algorithms")
  Member "an efficient simulation algorithm based on abstract interpretation":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "simulations in rank based b uchi automata complementation technical report")

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)