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: "on the decidability of termination for polynomial loops"
  Abstract: We consider the termination problem for triangular weakly non-linear loops (twn-loops) over a ring $\mathbb{Z} \leq \mathcal{S} \leq \mathbb{R}$. The body of such a loop consists of a single assignment $(x_1, \ldots, x_d) \leftarrow (c_1 \cdot x_1 + p_1, ..., c_d \cdot x_d + p_d)$ where each $x_i$ is a variable, $c_i \in \mathcal{S}$, and each $p_i$ is a (possibly non-linear) polynomial over $\mathcal{S}$ and the variables $x_{i+1}, \ldots, x_d$. We present a reduction from the question of termination to the existential fragment of the first-order theory of $\mathcal{S}$ and $\mathbb{R}$ ($\mathrm{Th}_\exists(\mathcal{S},\mathbb{R})$). For loops over $\mathbb{R}$, our reduction entails decidability of termination. For loops over $\mathbb{Z}$ or $\mathbb{Q}$, it proves semi-decidability of non-termination. #R##N#Furthermore, we show how to transform loops where the right-hand side of the assignment in the loop body consists of arbitrary polynomials into twn-loops. Then the original loop terminates iff the transformed loop terminates over a certain subset of $\mathbb{R}$, which can also be checked via our reduction to $\mathrm{Th}_\exists(\mathcal{S},\mathbb{R})$. This transformation allows us to prove Co-NP-completeness for the termination problem over $\mathbb{Z}$, $\mathbb{Q}$, and $\mathbb{R}$ for an important class of loops which can always be transformed into twn-loops.

Connected through hyperedge HE-1 (induced by source paper "a calculus for modular loop acceleration"):
  with members:
    - "proving non termination via loop acceleration"
    - "inferring lower runtime bounds for integer programs"
    - "underapproximation of procedure summaries for integer programs"
    - "on termination of integer linear loops"
    - "deciding conditional termination"
    - "abstract acceleration of general linear loops"
    - "abstracting path conditions"
    - "purrs towards computer algebra support for fully automatic worst case complexity analysis"

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)