human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "simulations of weighted tree automata"
  Abstract: Simulations of weighted tree automata (wta) are considered. It is shown how such simulations can be decomposed into simpler functional and dual functional simulations also called forward and backward simulations. In addition, it is shown in several cases (fields, commutative rings, NOETHERIAN semirings, semiring of natural numbers) that all equivalent wta M and N can be joined by a finite chain of simulations. More precisely, in all mentioned cases there is a single wta that simulates both M and N. Those results immediately yield decidability of equivalence provided that the semiring is finitely (and effectively) presented.

Connected through hyperedge HE-1 (induced by source paper "on the behaviour of coalgebras with side effects and algebras with effectful iteration"):
  with members:
    - "a new foundation for finitary corecursion and iterative algebras"
    - "proper semirings and proper convex functors"
    - "proper functors and fixed points for finite behaviour"
    - "regular behaviours with names"
    - "sound and complete axiomatizations of coalgebraic language equivalence"
    - "generalizing determinization from automata to coalgebras"
    - "nominal coalgebraic data types with applications to lambda calculus"
    - "semantics of higher order recursion schemes"

Connected through hyperedge HE-2 (induced by source paper "proper functors and fixed points for finite behaviour"):
  with members:
    - "semantics of higher order recursion schemes"
    - "free iterative and iteration k semialgebras"
    - "simulation vs equivalence"

Connected through hyperedge HE-3 (induced by source paper "sound and complete axiomatizations of coalgebraic language equivalence"):
  with members:
    - "semantics of higher order recursion schemes"
    - "non deterministic kleene coalgebras"
    - "free iterative and iteration k semialgebras"
    - "simulation vs equivalence"
    - "generic trace semantics via coinduction"

Question: Please tell me which class the center node 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)