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: "formal theories for linear algebra"
  Abstract: We introduce two-sorted theories in the style of [CN10] for the complexity#N#classes \oplusL and DET, whose complete problems include determinants over Z2#N#and Z, respectively. We then describe interpretations of Soltys' linear algebra#N#theory LAp over arbitrary integral domains, into each of our new theories. The#N#result shows equivalences of standard theorems of linear algebra over Z2 and Z#N#can be proved in the corresponding theory, but leaves open the interesting#N#question of whether the theorems themselves can be proved.

Connected through hyperedge HE-1 (induced by source paper "circuit evaluation for finite semirings"):
  with members:
    - "evaluating matrix circuits"
    - "regular realizability problems and context free languages"
    - "parallel identity testing for skew circuits with big powers and applications"
    - "isomorphism of regular trees and words"

Connected through hyperedge HE-2 (induced by source paper "evaluating matrix circuits"):
  with members:
    - "parallel identity testing for skew circuits with big powers and applications"

Connected through hyperedge HE-3 (induced by source paper "formalizing randomized matching algorithms"):
  with members:
    - "a constructive proof of the general lovasz local lemma"

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)