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 parallel versus branching recurrences in computability logic"):
  Abstract: This paper shows that the basic logic induced by the parallel recurrence of Computability Logic is a proper superset of the basic logic induced by the branching recurrence. The latter is known to be precisely captured by the cirquent calculus system CL15, conjectured by Japaridze to remain sound---but not complete---with parallel recurrence instead of branching recurrence. The present result is obtained by positively verifying that conjecture. A secondary result of the paper is showing that parallel recurrence is strictly weaker than branching recurrence in the sense that, while the latter logically implies the former, vice versa does not hold.

Includes members:
  Member "the taming of recurrences in computability logic through cirquent calculus part ii":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fundamentals of computability logic")
  Member "separating the basic logics of the basic recurrences":
    also connected through other hyperedges:
      - Hyperedge HE-2 (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-3 (induced by source paper "fundamentals of computability logic")
  Member "from formulas to cirquents in computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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-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)