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: "proving termination starting from the end"
  Abstract: We present a novel technique for proving program termination which introduces a new dimension of modularity. Existing techniques use the program to incrementally construct a termination proof. While the proof keeps changing, the program remains the same. Our technique goes a step further. We show how to use the current partial proof to partition the transition relation into those behaviors known to be terminating from the current proof, and those whose status (terminating or not) is not known yet. This partition enables a new and unexplored dimension of incremental reasoning on the program side. In addition, we show that our approach naturally applies to conditional termination which searches for a precondition ensuring termination. We further report on a prototype implementation that advances the state-of-the-art on the grounds of termination and conditional termination.

Connected through hyperedge HE-1 (induced by source paper "on multiphase linear ranking functions"):
  with members:
    - "extracting verified decision procedures dpll and resolution"
    - "ranking templates for linear loops"
    - "eventual linear ranking functions"
    - "ranking functions for linear constraint loops"

Connected through hyperedge HE-2 (induced by source paper "termination analysis by learning terminating programs"):
  with members:
    - "ranking templates for linear loops"
    - "state of buchi complementation"
    - "linear ranking for linear lasso programs"
    - "buchi complementation and size change termination"
    - "size change termination monotonicity constraints and ranking functions"

Connected through hyperedge HE-3 (induced by source paper "generating asymptotically non terminating initial values for linear programs"):
  with members:
    - "on termination of integer linear loops"
    - "deciding conditional termination"

Connected through hyperedge HE-4 (induced by source paper "on the termination of linear and affine programs over the integers"):
  with members:
    - "on termination of integer linear loops"
    - "deciding conditional termination"

Connected through hyperedge HE-5 (induced by source paper "eventual linear ranking functions"):
  with members:
    - "deciding conditional termination"
    - "ranking functions for linear constraint loops"
    - "the automatic synthesis of linear ranking functions the complete unabridged version"
    - "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-6 (induced by source paper "preliminary notes on termination and non termination reasoning"):
  with members:
    - "deciding conditional termination"

Connected through hyperedge HE-7 (induced by source paper "ranking functions for linear constraint loops"):
  with members:
    - "ranking function synthesis for linear lasso programs"
    - "deciding conditional termination"
    - "linear ranking for linear lasso programs"
    - "eventual linear ranking functions"
    - "monotonicity constraints for termination in the integer domain"
    - "an improved tight closure algorithm for integer octagonal constraints"
    - "the octagon abstract domain"
    - "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems"

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)