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 "checking termination of bottom up evaluation of logic programs with function symbols"):
  Abstract: Recently, there has been an increasing interest in the bottom-up evaluation of the semantics of logic programs with complex terms. The presence of function symbols in the program may render the ground instantiation infinite, and finiteness of models and termination of the evaluation procedure, in the general case, are not guaranteed anymore. Since the program termination problem is undecidable in the general case, several decidable criteria (called program termination criteria) have been recently proposed. However, current conditions are not able to identify even simple programs, whose bottom-up execution always terminates. The paper introduces new decidable criteria for checking termination of logic programs with function symbols under bottom-up evaluation, by deeply analyzing the program structure. First, we analyze the propagation of complex terms among arguments by means of the extended version of the argument graph called  propagation graph . The resulting criterion, called  acyclicity , generalizes most of the decidable criteria proposed so far. Next, we study how rules may activate each other and define a more powerful criterion, called  safety . This criterion uses the so-called  safety function  able to analyze how rules may activate each other and how the presence of some arguments in a rule limits its activation. We also study the application of the proposed criteria to bound queries and show that the safety criterion is well-suited to identify relevant classes of programs and bound queries. Finally, we propose a hierarchy of classes of terminating programs, called  k-safety , where the  k -safe class strictly includes the ( k -1)-safe class.

Includes members:
  Member "disjunctive asp with functions decidable queries and effective computation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "cautious reasoning in asp via minimal models and unsatisfiable cores")
  Member "automated termination analysis for logic programs with cut":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "proving completeness of logic programs with the cut")
  Member "on chase termination beyond stratification":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "all instances restricted chase termination")
  Member "automated termination proofs for logic programs by term rewriting":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "correctness and completeness of logic programs")
  Member "on termination of meta programs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "using linear constraints for logic program termination analysis")

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)