human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "the encodability hierarchy for pcf types"
  Abstract: Working with the simple types over a base type of natural numbers (including product types), we consider the question of when a type $\sigma$ is encodable as a definable retract of $\tau$: that is, when there are $\lambda$-terms $e:\sigma\rightarrow\tau$ and $d:\tau\rightarrow\sigma$ with $d \circ e = id$. In general, the answer to this question may vary according to both the choice of $\lambda$-calculus and the notion of equality considered; however, we shall show that the encodability relation $\preceq$ between types actually remains stable across a large class of languages and equality relations, ranging from a very basic language with infinitely many distinguishable constants $0,1,\ldots$ (but no arithmetic) considered modulo computational equality, up to the whole of Plotkin's PCF considered modulo observational equivalence. We show that $\sigma \preceq \tau \preceq \sigma$ iff $\sigma \cong \tau$ via trivial isomorphisms, and that for any $\sigma,\tau$ we have either $\sigma \preceq \tau$ or $\tau \preceq \sigma$. Furthermore, we show that the induced linear order on isomorphism classes of types is actually a well-ordering of type $\epsilon_0$, and indeed that there is a close syntactic correspondence between simple types and Cantor normal forms for ordinals below $\epsilon_0$. This means that the relation $\preceq$ is readily decidable, and that terms witnessing a retraction $\sigma \lhd \tau$ are readily constructible when $\sigma \preceq \tau$ holds.

Question: Please tell me which class the center node 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)