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 "a minimal representation for continuous functions"):
  Abstract: Kawamura and Cook specified the least set of information about a continuous function on the unit interval which is needed for fast function evaluation. This paper presents a variation of their result. To make the above statement precise, one has to specify what a "set of information" is and what "fast" should mean. Kawamura and Cook use polynomial-time computability in the sense of second-order complexity theory to define what "fast" means but do not use the most general "sets of information" this framework is able to handle. Instead they require codes to be length-monotone. This paper removes the additional premise of length-monotonicity, and instead imposes further conditions on the speed of the evaluation: The operation should now be computable in "hyper-linear" time. This means that the running time can not contain any iterations of the length function and, while an arbitrary polynomial may be applied to its value, on the argument side at most a shift by a constant is allowed. This is a very restrictive notion, but one can check that the Kawamura and Cook representation allows for hyper-linear time evaluation. The paper proves that it is not minimal with this property by providing the minimal set of information necessary for hyper-linear evaluation and proving that it is not polynomial-time equivalent to any encoding using only length-monotone names. Ultimatively, this is due to a failure of polynomial-time computability of an upper bound to a modulus of continuity. Indeed this failure seems to reflect the behavior of software based on the ideas of computable analysis appropriately and was one of the reasons for a closer investigation in the first place.

Includes members:
  Member "polynomial running times for polynomial time oracle machines":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "type two iteration with bounded query revision")
  Member "complexity theory for spaces of integrable functions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "parametrised second order complexity theory with applications to the study of interval computation")
  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")

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)