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 "wave equation numerical resolution a comprehensive mechanized proof of a c program"):
  Abstract: We formally prove correct a C program that implements a numerical scheme for the resolution of the one-dimensional acoustic wave equation. Such an implementation introduces errors at several levels: the numerical scheme introduces method errors, and floating-point computations lead to round-off errors. We annotate this C program to specify both method error and round-off error. We use Frama-C to generate theorems that guarantee the soundness of the code. We discharge these theorems using SMT solvers, Gappa, and Coq. This involves a large Coq development to prove the adequacy of the C program to the numerical scheme and to bound errors. To our knowledge, this is the first time such a numerical analysis program is fully machine-checked.

Includes members:
  Member "proof irrelevant model of cc with predicative induction and judgmental equality":
    also connected through other hyperedges:
      (none)
  Member "type classes for efficient exact real arithmetic in coq":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "tabled typeclass resolution")
  Member "a computer verified monadic functional implementation of the integral":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "type classes for efficient exact real arithmetic in coq")
  Member "formal proof of a wave equation resolution scheme the method error":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a formal proof of the irrationality of ζ 3")
  Member "certified exact transcendental real number computation in coq":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computable decision making on the reals and other spaces via partiality and nondeterminism")
  Member "a decision procedure for linear big o equations":
    also connected through other hyperedges:
      (none)
  Member "certification of bounds on expressions involving rounded operators":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "abstract compilation for verification of numerical accuracy properties")

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)