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 countable versus uncountable branching recurrences in computability logic"
  Abstract: This paper introduces a new simplified version of the countable branching recurrence of Computability Logic, proves its equivalence to the old one, and shows that the basic logic induced by it is a proper superset of the basic logic induced by the uncountable branching recurrence. A further result of this paper is showing that the countable branching recurrence is strictly weaker than the uncountable branching recurrence in the sense that the latter logically implies the former but not vice versa.

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"
    - "introduction to clarithmetic ii"
    - "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"

Connected through hyperedge HE-2 (induced by source paper "build your own clarithmetic i setup and completeness"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "introduction to clarithmetic ii"
    - "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"

Connected through hyperedge HE-3 (induced by source paper "on the system cl12 of computability logic"):
  with members:
    - "introduction to clarithmetic ii"
    - "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"

Connected through hyperedge HE-4 (induced by source paper "a cirquent calculus system with clustering and ranking"):
  with members:
    - "the computational complexity of propositional cirquent calculus"
    - "extracting verified decision procedures dpll and resolution"
    - "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"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "in the beginning was game semantics"

Connected through hyperedge HE-5 (induced by source paper "a propositional system induced by japaridze s approach to if logic"):
  with members:
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "in the beginning was game semantics"
    - "on the proof complexity of deep inference"
    - "cirquent calculus deepened"

Connected through hyperedge HE-6 (induced by source paper "implementing program extraction from cl1 proofs"):
  with members:
    - "on the system cl12 of computability logic"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences 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"
    - "in the beginning was game semantics"

Connected through hyperedge HE-7 (induced by source paper "on the toggling branching recurrence of computability logic"):
  with members:
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "a new face of the branching recurrence of computability logic"
    - "toggling operators in computability logic"

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)