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 lean mathematical library"):
  Abstract: This paper describes mathlib, a community-driven effort to build a unified library of mathematics formalized in the Lean proof assistant. Among proof assistant libraries, it is distinguished by its dependently typed foundations, focus on classical mathematics, extensive hierarchy of structures, use of large- and small-scale automation, and distributed organization. We explain the architecture and design decisions of the library and the social organization that has led us here.

Includes members:
  Member "a formal proof of hensel s lemma over the p adic integers":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "normalizing casts and coercions")
  Member "counting immutable beans reference counting optimized for purely functional programming":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "sealing pointer based optimizations behind pure functions")
  Member "a formalization of forcing and the unprovability of the continuum hypothesis":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "formalization of forcing in isabelle zf")
  Member "formalizing the solution to the cap set problem":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "trustworthy graph algorithms")
  Member "formalising perfectoid spaces":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "normalizing casts and coercions")
  Member "formalizing computability theory via partial recursive functions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "hilbert s tenth problem in coq")
  Member "congruence closure in intensional type theory":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "goal translation for a hammer for coq extended abstract")
  Member "type classes for mathematics in type theory":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "tabled typeclass resolution")

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)