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 "validating mathematical structures"):
  Abstract: With regard to formalizing mathematics in proof assistants, the hierarchy of mathematical structure that allows for the sharing of notations and theories, and makes subtyping of structures implicit, is a key ingredient of infrastructure to support the users. The packed classes method is a generic design pattern to define and combine mathematical structures in a dependent type theory with records. The Coq proof assistant has mechanisms to enable automated structure inference and subtyping with packed classes; that is, implicit coercions and canonical structures. In this paper, we identify the invariants of hierarchies that ensure the modularity of reasoning and the predictability of inference with packed classes, propose checking tools for those invariants, and show that our tools significantly improve the development process of Mathematical Components, a formalized mathematics library for Coq.

Includes members:
  Member "the lean mathematical library":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "sealing pointer based optimizations behind pure functions")
  Member "formalising perfectoid spaces":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "normalizing casts and coercions")
  Member "type classes for mathematics in type theory":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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.PL(Programming Languages)