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 "on sound compilation of reals"):
  Abstract: Writing accurate numerical software is hard because of many sources of unavoidable uncertainties, including finite numerical precision of implementations. We present a programming model where the user writes a program in a real-valued implementation and specification language that explicitly includes different types of uncertainties. We then present a compilation algorithm that generates a conventional implementation that is guaranteed to meet the desired precision with respect to real numbers. Our verification step generates verification conditions that treat different uncertainties in a unified way and encode reasoning about floating-point roundoff errors into reasoning about real numbers. Such verification conditions can be used as a standardized format for verifying the precision and the correctness of numerical programs. Due to their often non-linear nature, precise reasoning about such verification conditions remains difficult. We show that current state-of-the art SMT solvers do not scale well to solving such verification conditions. We propose a new procedure that combines exact SMT solving over reals with approximate and sound affine and interval arithmetic. We show that this approach overcomes scalability limitations of SMT solvers while providing improved precision over affine and interval arithmetic. Using our initial implementation we show the usefullness and effectiveness of our approach on several examples, including those containing non-linear computation.

Includes members:
  Member "a semantics for approximate program transformations":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "differential logical relations part i the simply typed case long version")
  Member "a logical product approach to zonotope intersection":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "automatic generation and verification of test stable floating point code")
  Member "relational abstract domains for the detection of floating point run time errors":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "exploiting verified neural networks via floating point numerical error")
  Member "a static analyzer for large safety critical software":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "automatically proving microkernels free from privilege escalation from their executable")

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)