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 "multiphase linear ranking functions and their relation to recurrent sets"):
  Abstract: Multiphase ranking functions (M$\Phi$RFs) are tuples $\langle f_1,\ldots,f_d \rangle$ of linear functions that are often used to prove termination of loops in which the computation progresses through a number of "phases". Our work provides new insights regarding such functions for loops described by a conjunction of linear constraints (Single-Path Constraint loops). The decision problem existence of a M$\Phi$RF asks to determine whether a given SLC loop admits a M$\Phi$RF, and the corresponding bounded decision problem restricts the search to M$\Phi$RFs of depth $d$, where the parameter $d$ is part of the input. The algorithmic and complexity aspects of the bounded problem have been completely settled in a recent work. In this paper we make progress regarding the existence problem, without a given depth bound. In particular, we present an approach that reveals some important insights into the structure of these functions. Interestingly, it relates the problem of seeking M$\Phi$RFs to that of seeking recurrent sets (used to prove non-termination). It also helps in identifying classes of loops for which M$\Phi$RFs are sufficient. Our research has led to a new representation for single-path loops, the difference polyhedron replacing the customary transition polyhedron. This representation yields new insights on M$\Phi$RFs and SLC loops in general. For example, a result on bounded SLC loops becomes straightforward.

Includes members:
  Member "on multiphase linear ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the decidability of termination for polynomial loops")
  Member "geometric nontermination arguments":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the decidability of termination for polynomial loops")
  Member "extracting verified decision procedures dpll and resolution":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "up to techniques for branching bisimilarity")
  Member "ranking templates for linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the decidability of termination for polynomial loops")
  Member "non termination analysis of java bytecode":
    also connected through other hyperedges:
      (none)
  Member "eventual linear ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on multiphase linear ranking functions")
  Member "ranking functions for linear constraint loops":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "inferring lower runtime bounds for integer programs")

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.PL(Programming Languages)