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 "non definability of languages by generalized first order formulas over n"):
  Abstract: We consider first-order logic with monoidal quantifiers over words. We show that all languages with a neutral letter, definable using the addition numerical predicate are also definable with the order predicate as the only numerical predicate. Let S be a subset of monoids. #R##N#Let LS be the logic closed under quantification over the monoids in S and N be the class of neutral letter languages. Then we show that: LS[<,+] cap N = LS[<] Our result can be interpreted as the Crane Beach conjecture to hold for the logic LS[<,+]. As a corollary of our result we get the result of Roy and Straubing that FO+MOD[<,+] collapses to FO+MOD[<]. #R##N#For cyclic groups, we answer an open question of Roy and Straubing, proving that MOD[<,+] collapses to MOD[<]. Our result also shows that multiplication is necessary for Barrington's theorem to hold. #R##N#All these results can be viewed as separation results for very uniform circuit classes. For example we separate FO[<,+]-uniform CC0 from FO[<,+]-uniform ACC0.

Includes members:
  Member "extensional uniformity for boolean circuits":
    also connected through other hyperedges:
      (none)
  Member "arithmetic first order logic and counting quantifiers":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "reasoning about social choice and games in monadic fixed point logic")
  Member "the descriptive complexity approach to logcfl":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "extensional uniformity for boolean circuits")

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.LO(Logic in Computer Science)