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: "first order logic with counting at least weak hanf normal forms always exist and can be computed"
  Abstract: We introduce the logic FOCN(P) which extends first-order logic by counting and by numerical predicates from a set P, and which can be viewed as a natural generalisation of various counting logics that have been studied in the literature. #R##N#We obtain a locality result showing that every FOCN(P)-formula can be transformed into a formula in Hanf normal form that is equivalent on all finite structures of degree at most d. A formula is in Hanf normal form if it is a Boolean combination of formulas describing the neighbourhood around its tuple of free variables and arithmetic sentences with predicates from P over atomic statements describing the number of realisations of a type with a single centre. The transformation into Hanf normal form can be achieved in time elementary in $d$ and the size of the input formula. From this locality result, we infer the following applications: (*) The Hanf-locality rank of first-order formulas of bounded quantifier alternation depth only grows polynomially with the formula size. (*) The model checking problem for the fragment FOC(P) of FOCN(P) on structures of bounded degree is fixed-parameter tractable (with elementary parameter dependence). (*) The query evaluation problem for fixed queries from FOC(P) over fully dynamic databases of degree at most d can be solved efficiently: there is a dynamic algorithm that can enumerate the tuples in the query result with constant delay, and that allows to compute the size of the query result and to test if a given tuple belongs to the query result within constant time after every database update.

Connected through hyperedge HE-1 (induced by source paper "learning concepts definable in first order logic with counting"):
  with members:
    - "a faster isomorphism test for graphs of small degree"
    - "learning first order definable concepts over structures of small degree"
    - "first order query evaluation with cardinality conditions"

Connected through hyperedge HE-2 (induced by source paper "answering fo mod queries under updates on bounded degree databases"):
  with members:
    - "answering conjunctive queries under updates"
    - "answering ucqs under updates and in the presence of integrity constraints"
    - "first order query evaluation with cardinality conditions"
    - "deciding first order properties of nowhere dense graphs"
    - "first order query evaluation on structures of bounded degree"
    - "first order queries on structures of bounded degree are computable with constant delay"

Connected through hyperedge HE-3 (induced by source paper "first order query evaluation with cardinality conditions"):
  with members:
    - "structural tractability of counting of solutions to conjunctive queries"
    - "deciding first order properties of nowhere dense graphs"
    - "algorithmic meta theorems"
    - "deciding first order properties of locally tree decomposable structures"

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)