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 multiphase linear ranking functions"
  Abstract: Multiphase ranking functions ($\mathit{M{\Phi}RFs}$) were proposed as a means to prove the termination of a loop in which the computation progresses through a number of "phases", and the progress of each phase is described by a different linear ranking function. Our work provides new insights regarding such functions for loops described by a conjunction of linear constraints (single-path loops). We provide a complete polynomial-time solution to the problem of existence and of synthesis of $\mathit{M{\Phi}RF}$ of bounded depth (number of phases), when variables range over rational or real numbers; a complete solution for the (harder) case that variables are integer, with a matching lower-bound proof, showing that the problem is coNP-complete; and a new theorem which bounds the number of iterations for loops with $\mathit{M{\Phi}RFs}$. Surprisingly, the bound is linear, even when the variables involved change in non-linear way. We also consider a type of lexicographic ranking functions, $\mathit{LLRFs}$, more expressive than types of lexicographic functions for which complete solutions have been given so far. We prove that for the above type of loops, lexicographic functions can be reduced to $\mathit{M{\Phi}RFs}$, and thus the questions of complexity of detection and synthesis, and of resulting iteration bounds, are also answered for this class.

Connected through hyperedge HE-1 (induced by source paper "on the decidability of termination for polynomial loops"):
  with members:
    - "termination of triangular integer loops is decidable"
    - "proving non termination via loop acceleration"
    - "termination of linear loops over the integers"
    - "geometric nontermination arguments"
    - "ranking templates for linear loops"
    - "mixed integer quadratic programming is in np"
    - "on termination of integer linear loops"
    - "deciding conditional termination"

Connected through hyperedge HE-2 (induced by source paper "tight polynomial worst case bounds for loop programs"):
  with members:
    - "polynomial invariants for affine programs"
    - "interval based resource usage verification by translation into horn clauses and an application to energy consumption"
    - "flowchart programs regular expressions and decidability of polynomial growth rate"
    - "ranking functions for linear constraint loops"
    - "on decidable growth rate properties of imperative programs"
    - "efficient algorithms for deciding the type of growth of products of integer matrices"
    - "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems"

Connected through hyperedge HE-3 (induced by source paper "termination of linear loops over the integers"):
  with members:
    - "multiphase linear ranking functions and their relation to recurrent sets"
    - "effective divergence analysis for linear recurrence sequences"
    - "on termination of integer linear loops"
    - "abstract acceleration of general linear loops"
    - "positivity problems for low order linear recurrence sequences"
    - "ranking functions for linear constraint loops"

Connected through hyperedge HE-4 (induced by source paper "control flow refinement by partial evaluation and its application to termination and cost analysis"):
  with members:
    - "polyvariant program specialisation with property based abstraction"
    - "an iterative approach to precondition inference using constrained horn clauses"
    - "t2 temporal property verification"
    - "ranking functions for linear constraint loops"
    - "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems"

Connected through hyperedge HE-5 (induced by source paper "multiphase linear ranking functions and their relation to recurrent sets"):
  with members:
    - "geometric nontermination arguments"
    - "extracting verified decision procedures dpll and resolution"
    - "ranking templates for linear loops"
    - "non termination analysis of java bytecode"
    - "eventual linear ranking functions"
    - "ranking functions for linear constraint loops"

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.PL(Programming Languages)