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 "piecewise linear valued csps solvable by linear programming relaxation"):
  Abstract: Valued constraint satisfaction problems (VCSPs) are a large class of combinatorial optimisation problems. The computational complexity of VCSPs depends on the set of allowed cost functions in the input. Recently, the computational complexity of all VCSPs for finite sets of cost functions over finite domains has been classified. Many natural optimisation problems, however, cannot be formulated as VCSPs over a finite domain. We initiate the systematic investigation of infinite-domain VCSPs by studying the complexity of VCSPs for piecewise linear homogeneous cost functions. Such VCSPs can be solved in polynomial time if the cost functions are improved by fully symmetric fractional operations of all arities. We show this by reducing the problem to a finite-domain VCSP which can be solved using the basic linear program relaxation. It follows that VCSPs for submodular PLH cost functions can be solved in polynomial time; in fact, we show that submodular PLH functions form a maximally tractable class of PLH cost functions.

Includes members:
  Member "a dichotomy theorem for nonuniform csps":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "the proof of csp dichotomy conjecture":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal polynomial time compression for boolean max csp")
  Member "algebraic properties of valued constraint satisfaction problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the complexity of boolean surjective general valued csps")
  Member "the complexity of general valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the complexity of boolean surjective general valued csps")
  Member "tropically convex constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a polynomial time algorithm for median closed semilinear constraints")
  Member "the power of linear programming for valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the complexity of general valued csps seen from the other side")
  Member "min csp on four elements moving beyond submodularity":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the complexity of finite valued csps")
  Member "constraint satisfaction tractability from semi lattice operations on infinite sets":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "distance constraint satisfaction problems")

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)