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 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.

Includes members:
  Member "termination of triangular integer loops is decidable":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "computing expected runtimes for constant probability programs")
  Member "proving non termination via loop acceleration":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a calculus for modular loop acceleration")
  Member "termination of linear loops over the integers":
    also connected through other hyperedges:
      (none)
  Member "on multiphase linear ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "tight polynomial worst case bounds for loop programs")
  Member "geometric nontermination arguments":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "proving non termination via loop acceleration")
  Member "ranking templates for linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "multiphase linear ranking functions and their relation to recurrent sets")
  Member "mixed integer quadratic programming is in np":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "deep hypernetwork based mimo detection")
  Member "on termination of integer linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a calculus for modular loop acceleration")

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)