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: "arithmetic first order logic and counting quantifiers"
  Abstract: This paper gives a thorough overview of what is known about first-order logic with counting quantifiers and with arithmetic predicates. As a main theorem we show that Presburger arithmetic is closed under unary counting quantifiers. Precisely, this means that for every first-order formula phi(y,z_1,...,z_k) over the signature {  (respectively, over initial segments of this structure) that the variable x is interpreted exactly by the number of possible interpretations of the variable y for which the formula phi(y,z_1,...,z_k) is satisfied. Applying this theorem, we obtain an easy proof of Ruhl's result that reachability (and similarly, connectivity) in finite graphs is not expressible in first-order logic with unary counting quantifiers and addition. Furthermore, the above result on Presburger arithmetic helps to show the failure of a particular version of the Crane Beach conjecture.

Connected through hyperedge HE-1 (induced by source paper "reasoning about social choice and games in monadic fixed point logic"):
  with members:
    - "fair allocation of indivisible items with externalities"
    - "coordination games on directed graphs"
    - "a classification of weakly acyclic games"
    - "on dynamics in selfish network creation"

Connected through hyperedge HE-2 (induced by source paper "languages ordered by the subword order"):
  with members:
    - "defining recursive predicates in graph orders"
    - "decidability complexity and expressiveness of first order logic over the subword ordering"
    - "decidability in the logic of subsequences and supersequences"
    - "the height of piecewise testable languages with applications in logical complexity"

Connected through hyperedge HE-3 (induced by source paper "model theoretic characterisations of description logics"):
  with members:
    - "description logic tboxes model theoretic characterizations and rewritability"
    - "hypertableau reasoning for description logics"
    - "complexity results and practical algorithms for logics in knowledge representation"
    - "decidable reasoning in terminological knowledge representation systems"

Connected through hyperedge HE-4 (induced by source paper "non definability of languages by generalized first order formulas over n"):
  with members:
    - "extensional uniformity for boolean circuits"
    - "the descriptive complexity approach to logcfl"

Connected through hyperedge HE-5 (induced by source paper "extensional uniformity for boolean circuits"):
  with members:
    - "logic meets algebra the case of regular languages"
    - "the descriptive complexity approach to logcfl"

Connected through hyperedge HE-6 (induced by source paper "logic meets algebra the case of regular languages"):
  with members:
    - "algebraic recognizability of languages"
    - "algebraic recognizability of regular tree languages"
    - "the descriptive complexity approach to logcfl"

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.LO(Logic in Computer Science)