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 "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.

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 "the parallel versus branching recurrences in 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 "the countable versus uncountable branching recurrences 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 "in the beginning was game semantics":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fundamentals of computability logic")
  Member "on the proof complexity of deep inference":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative 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)