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 word problem for omega terms over the trotter weil hierarchy"):
  Abstract: For two given ω-terms α and β, the word problem for ω-terms over a variety V asks whether α = β in all monoids in V. We show that the word problem for ω-terms over each level of the Trotter-Weil Hierarchy is decidable. More precisely, for every fixed variety in the Trotter-Weil Hierarchy, our approach yields an algorithm in nondeterministic logarithmic space (NL). In addition, we provide deterministic polynomial time algorithms which are more efficient than straightforward translations of the NL-algorithms. As an application of our results, we show that separability by the so-called corners of the Trotter-Weil Hierarchy is witnessed by ω-terms (this property is also known as ω-reducibility). In particular, the separation problem for the corners of the Trotter-Weil Hierarchy is decidable.

Includes members:
  Member "the separation problem for regular languages by piecewise testable languages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a note on decidable separability by piecewise testable languages")
  Member "separating regular languages by piecewise testable and unambiguous languages":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "partially ordered automata and piecewise testability")
  Member "ehrenfeucht fraisse games on omega terms":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "mccammond s normal forms for free aperiodic semigroups revisited")
  Member "the join levels of the trotter weil hierarchy are decidable":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "one quantifier alternation in first order logic with modular predicates")
  Member "on logical hierarchies withinfoâ definable languages":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on varieties of automata enriched with an algebraic structure extended abstract")
  Member "the fo2 alternation hierarchy is decidable":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "from algebra to logic there and back again the story of a hierarchy")
  Member "representations of stream processors using nested fixed points":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "infinite types infinite data infinite interaction")
  Member "structure theorem and strict alternation hierarchy for fo2 on words":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "two variable logics with some betweenness relations expressiveness satisfiability and membership")

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)