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 "semantics logic and verification of exact real computation"):
  Abstract: This work formalizes "Exact Real Computation" (ERC): a paradigm combining (i) ALGEBRAIC imperative programming of/over abstract data types (ADTs) for CONTINUOUS structures with (ii) a selection and sound semantics of primitives computable in the sense of Recursive ANALYSIS, that is, by means of approximations -- yet presented to the user as exact. #R##N#We specify a small imperative programming language for the ADT of real (i.e., including transcendental) numbers with rigorous semantics: arguments are provided, passed to and received from calls to functions (like $e^x$), and operated on EXACTLY -- with partial inequality predicate and multivalued binary SELECT and continuous conditional (aka PARALLEL-IF) operations -- yet REALIZING a function (again like $e^x$) requires only to APPROXIMATE its return value up to guaranteed absolute error $2^p$ for any given integer $p$: closure under composition is implicit. We prove this language Turing-COMPLETE: it can express precisely those partial real functions computable in the sense of Recursive Analysis; similarly for functionALs. #R##N#Three basic numerical problems demonstrate both the convenience and novel control-flow considerations of this approach to Reliable Numerics: multivalued integer rounding, solving systems of linear equations, and simple root finding. For rigorously specifying and arguing about such (non-extensional) computations, we propose a first-order theory over two sorts: integers and reals; and prove it both decidable and 'model complete': thus reflecting the elegance inherent to real (as opposed to rational/floating point) numbers. Rules of Hoare Logic are extended to support formal correctness proofs in ERC.

Includes members:
  Member "dividing by zero how bad is it really":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "searching for an analogue of atr in the weihrauch lattice")
  Member "satisfiability of cross product terms is complete for real nondeterministic polytime blum shub smale machines":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal curve straightening is exists mathbb r complete")
  Member "complexity theory for operators in analysis":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on higher order cryptography long version")
  Member "the pitfalls of verifying floating point computations":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "abstract compilation for verification of numerical accuracy properties")
  Member "quantifier elimination for the reals with a predicate for the powers of two":
    also connected through other hyperedges:
      (none)
  Member "abstract versus concrete computation on metric partial algebras":
    also connected through other hyperedges:
      (none)

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.NA(Numerical Analysis)