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: "the church synthesis problem with parameters"
  Abstract: For a two-variable formula ψ(X,Y) of Monadic Logic of Order (MLO) the#N#Church Synthesis Problem concerns the existence and construction of an operator#N#Y=F(X) such that ψ(X,F(X)) is universally valid over Nat.#N#  B\"{u}chi and Landweber proved that the Church synthesis problem is#N#decidable; moreover, they showed that if there is an operator F that solves the#N#Church Synthesis Problem, then it can also be solved by an operator defined by#N#a finite state automaton or equivalently by an MLO formula. We investigate a#N#parameterized version of the Church synthesis problem. In this version ψ#N#might contain as a parameter a unary predicate P. We show that the Church#N#synthesis problem for P is computable if and only if the monadic theory of#N#  is decidable. We prove that the B\"{u}chi-Landweber theorem can be#N#extended only to ultimately periodic parameters. However, the MLO-definability#N#part of the B\"{u}chi-Landweber theorem holds for the parameterized version of#N#the Church synthesis problem.

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)