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 "differentials and distances in probabilistic coherence spaces"):
  Abstract: In probabilistic coherence spaces, a denotational model of probabilistic functional languages, mor-phisms are analytic and therefore smooth. We explore two related applications of the corresponding derivatives. First we show how derivatives allow to compute the expectation of execution time in the weak head reduction of probabilistic PCF (pPCF). Next we apply a general notion of "local" differential of morphisms to the proof of a Lipschitz property of these morphisms allowing in turn to relate the observational distance on pPCF terms to a distance the model is naturally equipped with. This suggests that extending probabilistic programming languages with derivatives, in the spirit of the differential lambda-calculus, could be quite meaningful.

Includes members:
  Member "a domain theory for statistical probabilistic programming":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the linear structure of cones")
  Member "mixed powerdomains for probability and nondeterminism":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "an introduction to differential linear logic proof nets models and antiderivatives":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "backpropagation in the simply typed lambda calculus with linear negation")
  Member "a lambda calculus foundation for universal probabilistic programming":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "tail bound analysis for probabilistic programs via central moments")
  Member "full abstraction for probabilistic pcf":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the linear structure of cones")
  Member "execution time of lambda terms via denotational semantics and intersection types":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the bang calculus revisited")

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)