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: "expansions of mso by cardinality relations"
  Abstract: We study expansions of the Weak Monadic Second Order theory of (N,<) by#N#cardinality relations, which are predicates R(X1,...,Xn) whose truth value#N#depends only on the cardinality of the sets X1, ...,Xn. We first provide a#N#(definable) criterion for definability of a cardinality relation in (N,<), and#N#use it to prove that for every cardinality relation R which is not definable in#N#(N,<), there exists a unary cardinality relation which is definable in (N,<,R)#N#and not in (N,<). These results resemble Muchnik and Michaux-Villemaire#N#theorems for Presburger Arithmetic. We prove then that + and x are definable in#N#(N,<,R) for every cardinality relation R which is not definable in (N,<). This#N#implies undecidability of the WMSO theory of (N,<,R). We also consider the#N#related satisfiability problem for the class of finite orderings, namely the#N#question whether an MSO sentence in the language {<,R} admits a finite model M#N#where < is interpreted as a linear ordering, and R as the restriction of some#N#(fixed) cardinality relation to the domain of M. We prove that this problem is#N#undecidable for every cardinality relation R which is not definable in (N,<).

Connected through hyperedge HE-1 (induced by source paper "theories of real addition with and without a predicate for integers"):
  with members:
    - "effective definability of the reachability relation in timed automata"
    - "on the sets of real numbers recognized by finite automata in multiple bases"
    - "decomposition of decidable first order logics over integers and reals"

Connected through hyperedge HE-2 (induced by source paper "computations by fly automata beyond monadic second order logic"):
  with members:
    - "fly automata model checking and recognizability"
    - "the rank width of edge coloured graphs"
    - "courcelle s theorem a game theoretic approach"
    - "algorithmic meta theorems"

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)