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: "introduction to clarithmetic ii"
  Abstract: The earlier paper "Introduction to clarithmetic I" constructed an axiomatic system of arithmetic based on computability logic, and proved its soundness and extensional completeness with respect to polynomial time computability. The present paper elaborates three additional sound and complete systems in the same style and sense: one for polynomial space computability, one for elementary recursive time (and/or space) computability, and one for primitive recursive time (and/or space) computability.

Connected through hyperedge HE-1 (induced by source paper "fundamentals of computability logic"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "build your own clarithmetic i setup and completeness"
    - "elementary base cirquent calculus i parallel and choice connectives"
    - "the computational complexity of propositional cirquent calculus"
    - "on the system cl12 of computability logic"
    - "a propositional system induced by japaridze s approach to if logic"
    - "expressing algorithms as concise as possible via computability logic"
    - "a cirquent calculus system with clustering and ranking"

Connected through hyperedge HE-2 (induced by source paper "computability logic giving caesar what belongs to caesar"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "build your own clarithmetic i setup and completeness"
    - "towards applied theories based on computability logic"
    - "in the beginning was game semantics"
    - "the intuitionistic fragment of computability logic at the propositional level"
    - "intuitionistic computability logic"

Connected through hyperedge HE-3 (induced by source paper "build your own clarithmetic i setup and completeness"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "the computational complexity of propositional cirquent calculus"
    - "build your own clarithmetic ii"
    - "on the system cl12 of computability logic"
    - "a propositional system induced by japaridze s approach to if logic"
    - "a cirquent calculus system with clustering and ranking"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"

Connected through hyperedge HE-4 (induced by source paper "build your own clarithmetic ii soundness"):
  with members:
    - "build your own clarithmetic i setup and completeness"
    - "on the system cl12 of computability logic"

Connected through hyperedge HE-5 (induced by source paper "on the system cl12 of computability logic"):
  with members:
    - "the computational complexity of propositional cirquent calculus"
    - "a propositional system induced by japaridze s approach to if logic"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "games and full completeness for multiplicative linear logic"
    - "separating the basic logics of the basic recurrences"
    - "a new face of the branching recurrence of computability logic"
    - "a logical basis for constructive systems"

Connected through hyperedge HE-6 (induced by source paper "the taming of recurrences in computability logic through cirquent calculus part ii"):
  with members:
    - "separating the basic logics of the basic recurrences"
    - "a new face of the branching recurrence of computability logic"
    - "a logical basis for constructive systems"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "toggling operators in computability logic"
    - "towards applied theories based on computability logic"
    - "many concepts and two logics of algorithmic reduction"

Connected through hyperedge HE-7 (induced by source paper "a pspace complete first order fragment of computability logic"):
  with members:
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "towards applied theories based on computability logic"
    - "in the beginning was game semantics"
    - "sequential operators in computability logic"
    - "propositional computability logic ii"
    - "from truth to computability ii"

Connected through hyperedge HE-8 (induced by source paper "computational complexity of interactive behaviors"):
  with members:
    - "reactive turing machines"

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)