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 "new results on vector and homing vector automata"):
  Abstract: We present several new results and connections between various extensions of finite automata through the study of vector automata and homing vector automata. We show that homing vector automata outperform extended finite automata when both are defined over $ 2 \times 2 $ integer matrices. We study the string separation problem for vector automata and demonstrate that generalized finite automata with rational entries can separate any pair of strings using only two states. Investigating stateless homing vector automata, we prove that a language is recognized by stateless blind deterministic real-time version of finite automata with multiplication iff it is commutative and its Parikh image is the set of nonnegative integer solutions to a system of linear homogeneous Diophantine equations.

Includes members:
  Member "extended finite automata and decision problems for matrix semigroups":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "extended models of finite automata")
  Member "language classes associated with automata over matrix groups":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "extended models of finite automata")
  Member "affine computation and affine automaton":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "computational limitations of affine automata")
  Member "homing vector automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "extended models of finite automata")
  Member "quantum finite automata a modern introduction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "classically time controlled quantum automata definition and properties")
  Member "real time vector automata":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "extended models of finite automata")
  Member "remarks on separating words":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "can one quantum bit separate any pair of words with zero error")

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)