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: "a propositional system induced by japaridze s approach to if logic"
  Abstract: Cirquent calculus is a new proof-theoretic and semantic approach introduced for the needs of computability logic by G.Japaridze, who also showed that, through cirquent calculus, one can capture, refine and generalize independence-friendly (IF) logic. Specifically, the approach allows us to account for independence from propositional connectives in the same spirit as the traditional IF logic accounts for independence from quantifiers. Japaridze's treatment of IF logic, however, was purely semantical, and no deductive system was proposed. The present paper constructs a formal system sound and complete w.r.t. the propositional fragment of Japaridze's cirquent-based semantics for IF logic. Such a system can thus be considered an axiomatization of purely propositional IF logic in its full generality.

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"
    - "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 "elementary base cirquent calculus ii choice quantifiers"):
  with members:
    - "elementary base cirquent calculus i parallel and choice connectives"
    - "a cirquent calculus system with clustering and ranking"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "cirquent calculus deepened"

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"
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "build your own clarithmetic ii"
    - "on the system cl12 of computability 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 "on the system cl12 of computability logic"):
  with members:
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "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-5 (induced by source paper "the computational complexity of propositional cirquent calculus"):
  with members:
    - "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"
    - "in the beginning was game semantics"
    - "cirquent calculus deepened"
    - "propositional computability logic ii"
    - "from truth to computability ii"

Connected through hyperedge HE-6 (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"
    - "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"
    - "the countable versus uncountable branching recurrences in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "in the beginning was game semantics"

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)