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: "theories for tc0 and other small complexity classes"
  Abstract: We present a general method for introducing finitely axiomatizable "minimal"#N#two-sorted theories for various subclasses of P (problems solvable in#N#polynomial time). The two sorts are natural numbers and finite sets of natural#N#numbers. The latter are essentially the finite binary strings, which provide a#N#natural domain for defining the functions and sets in small complexity classes.#N#We concentrate on the complexity class TC^0, whose problems are defined by#N#uniform polynomial-size families of bounded-depth Boolean circuits with#N#majority gates. We present an elegant theory VTC^0 in which the provably-total#N#functions are those associated with TC^0, and then prove that VTC^0 is#N#"isomorphic" to a different-looking single-sorted theory introduced by#N#Johannsen and Pollet. The most technical part of the isomorphism proof is#N#defining binary number multiplication in terms a bit-counting function, and#N#showing how to formalize the proofs of its algebraic properties.

Connected through hyperedge HE-1 (induced by source paper "open induction in a bounded arithmetic for tc0"):
  with members:
    - "root finding with threshold circuits"

Connected through hyperedge HE-2 (induced by source paper "relativizing small complexity classes and their theories"):
  with members:
    - "linear encodings of bounded ltl model checking"

Connected through hyperedge HE-3 (induced by source paper "short propositional refutations for dense random 3cnf formulas"):
  with members:
    - "short proofs for the determinant identities"

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)