human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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.

Includes members:
  Member "separating the basic logics of the basic recurrences":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fundamentals of computability logic")
  Member "a new face of the branching recurrence of computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "fundamentals of computability logic")
  Member "from formulas to cirquents in computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fundamentals of computability logic")
  Member "soundness and completeness of the cirquent calculus system cl6 for computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "fundamentals of computability logic")
  Member "towards applied theories based on computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fundamentals of computability logic")
  Member "many concepts and two logics of algorithmic reduction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "introduction to clarithmetic ii")
  Member "in the beginning was game semantics":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "fundamentals of computability logic")
  Member "cirquent calculus deepened":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "fundamentals of computability logic")

Question: Please tell me which class the source paper 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)