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 "coinduction in uniform foundations for corecursive proof search with horn clauses"):
  Abstract: We establish proof-theoretic, constructive and coalgebraic foundations for proof search in coinductive Horn clause theories. Operational semantics of coinductive Horn clause resolution is cast in terms of coinductive uniform proofs; its constructive content is exposed via soundness relative to an intuitionistic first-order logic with recursion controlled by the later modality; and soundness of both proof systems is proven relative to a novel coalgebraic description of complete Herbrand models.

Includes members:
  Member "coinductive uniform proofs":
    also connected through other hyperedges:
      (none)
  Member "towards coinductive theory exploration in horn clause logic position paper":
    also connected through other hyperedges:
      (none)
  Member "breaking the loop recursive proofs for coinductive predicates in fibrations":
    also connected through other hyperedges:
      (none)
  Member "productive corecursion in logic programming":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "coinductive uniform proofs")
  Member "guarded dependent type theory with coinductive types":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "diamonds are not forever liveness in reactive programming with guarded recursion")
  Member "proof relevant corecursive resolution":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "coinductive uniform proofs")
  Member "refinement type inference via horn constraint optimization":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "coinductive uniform proofs")
  Member "sequent calculus in the topos of trees":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "lewis meets brouwer constructive strict implication")

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)