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 "extensional semantics for higher order logic programs with negation"):
  Abstract: We develop an extensional semantics for higher-order logic programs with negation, generalizing the technique that was introduced in [Bezem99,Bezem01] for positive higher-order programs. In this way we provide an alternative extensional semantics for higher-order logic programs with negation to the one proposed in [CharalambidisER14]. As an immediate useful consequence of our developments, we define for the language we consider the notions of stratification and local stratification, which generalize the familiar such notions from classical logic programming. We demonstrate that for stratified and locally stratified higher-order logic programs, the proposed semantics never assigns the unknown truth value. We conclude the paper by providing a negative result: we demonstrate that the well-known stable model semantics of classical logic programming, if extended according to the technique of [Bezem99,Bezem01] to higher-order logic programs, does not in general lead to extensional stable models.

Includes members:
  Member "an analysis of the equational properties of the well founded fixed point":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "approximation fixpoint theory and the well founded semantics of higher order logic programs")
  Member "equivalence of two fixed point semantics for definitional higher order logic programs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "approximation fixpoint theory and the well founded semantics of higher order logic programs")
  Member "minimum model semantics for extensional higher order logic programming with negation":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "approximation fixpoint theory and the well founded semantics of higher order logic programs")
  Member "extensional higher order logic programming":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "hochc a refutationally complete and semantically invariant system of higher order logic modulo theories")
  Member "minimum model semantics for logic programs with negation as failure":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "an analysis of the equational properties of the well founded fixed point")

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)