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 the enumeration of closures and environments with an application to random generation"):
  Abstract: Environments and closures are two of the main ingredients of evaluation in lambda-calculus. A closure is a pair consisting of a lambda-term and an environment, whereas an environment is a list of lambda-terms assigned to free variables. In this paper we investigate some dynamic aspects of evaluation in lambda-calculus considering the quantitative, combinatorial properties of environments and closures. Focusing on two classes of environments and closures, namely the so-called plain and closed ones, we consider the problem of their asymptotic counting and effective random generation. We provide an asymptotic approximation of the number of both plain environments and closures of size $n$. Using the associated generating functions, we construct effective samplers for both classes of combinatorial structures. Finally, we discuss the related problem of asymptotic counting and random generation of closed environemnts and closures.

Includes members:
  Member "combinatorics of explicit substitutions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "towards the average case analysis of substitution resolution in lambda calculus")
  Member "normal order reduction grammars":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "combinatorics of explicit substitutions")
  Member "leftmost outermost beta reduction is invariant indeed":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the abstract machinery of interaction long version")
  Member "a natural counting of lambda terms":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "formula transformers and combinatorial test generators for propositional intuitionistic theorem provers")
  Member "counting and generating terms in the binary lambda calculus extended version":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "position paper towards transparent machine learning")
  Member "on constructor rewrite systems and the lambda calculus":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on probabilistic term rewriting")
  Member "smoothed analysis of algorithms why the simplex algorithm usually takes polynomial time":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "improper learning for non stochastic control")

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)