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: "polylogarithmic cuts in models of v 0"
  Abstract: We study initial cuts of models of weak two-sorted Bounded Arithmetics with#N#respect to the strength of their theories and show that these theories are#N#stronger than the original one. More explicitly we will see that#N#polylogarithmic cuts of models of $\mathbf{V}^0$ are models of $\mathbf{VNC}^1$#N#by formalizing a proof of Nepomnjascij's Theorem in such cuts. This is a#N#strengthening of a result by Paris and Wilkie. We can then exploit our result#N#in Proof Complexity to observe that Frege proof systems can be sub#N#exponentially simulated by bounded depth Frege proof systems. This result has#N#recently been obtained by Filmus, Pitassi and Santhanam in a direct proof. As#N#an interesting observation we also obtain an average case separation of#N#Resolution from AC0-Frege by applying a recent result with Tzameret.

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)