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 formal proof of hensel s lemma over the p adic integers"):
  Abstract: The field of p-adic numbers ℚp and the ring of p-adic integers ℤp are essential constructions of modern number theory. Hensel’s lemma, described by Gouvea as the “most important algebraic property of the p-adic numbers,” shows the existence of roots of polynomials over ℤp provided an initial seed point. The theorem can be proved for the p-adics with significantly weaker hypotheses than for general rings. We construct ℚp and ℤp in the Lean proof assistant, with various associated algebraic properties, and formally prove a strong form of Hensel’s lemma. The proof lies at the intersection of algebraic and analytic reasoning and demonstrates how the Lean mathematical library handles such a heterogeneous topic.

Includes members:
  Member "an extensible ad hoc interface between lean and mathematica":
    also connected through other hyperedges:
      (none)
  Member "homotopy type theory in lean":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "formalizing the solution to the cap set problem")
  Member "formal proofs of transcendence for e and pi as an application of multivariate and symmetric polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a formal proof of the irrationality of ζ 3")
  Member "a heuristic prover for real inequalities":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "differential equation invariance axiomatization")
  Member "type classes for mathematics in type theory":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "tabled typeclass resolution")
  Member "a formally verified proof of the prime number theorem":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a formal proof of the irrationality of ζ 3")

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)