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 "higher order termination from kruskal to computability"):
  Abstract: Termination is a major question in both logic and computer science. In logic, termination is at the heart of proof theory where it is usually called strong normalization (of cut elimination). In computer science, termination has always been an important issue for showing programs correct. In the early days of logic, strong normalization was usually shown by assigning ordinals to expressions in such a way that eliminating a cut would yield an expression with a smaller ordinal. In the early days of verification, computer scientists used similar ideas, interpreting the arguments of a program call by a natural number, such as their size. Showing the size of the arguments to decrease for each recursive call gives a termination proof of the program, which is however rather weak since it can only yield quite small ordinals. In the sixties, Tait invented a new method for showing cut elimination of natural deduction, based on a predicate over the set of terms, such that the membership of an expression to the predicate implied the strong normalization property for that expression. The predicate being defined by induction on types, or even as a fixpoint, this method could yield much larger ordinals. Later generalized by Girard under the name of reducibility or computability candidates, it showed very effective in proving the strong normalization property of typed lambda-calculi with polymorphic types, dependent types, inductive types, and finally a cumulative hierarchy of universes. On the programming side, research on termination shifted from programming to executable specification languages based on rewriting, and concentrated on automatable methods based on the construction on well-founded orderings of the set of terms. The milestone here is Dershowitz's recursive path ordering (RPO), in the late seventies, whose well-foundedness proof is based on a powerful combinatorial argument, Kruskal's tree theorem, which also yields rather large ordinals. While the computability predicates must be defined for each particular case, and their properties proved by hand, the recursive path ordering can be effectively automated.

Includes members:
  Member "higher order dependency pairs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a static higher order dependency pair framework")
  Member "termination and confluence of higher order rewrite systems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a modular termination method for second order computation")
  Member "combining typing and size constraints for checking the termination of higher order conditional rewrite systems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "size based termination of higher order rewriting")
  Member "rewriting modulo in deduction modulo":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "termination of rewrite relations on λ terms based on girard s notion of reducibility")
  Member "inductive types in the calculus of algebraic constructions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "elaborating inductive definitions and course of values induction in cedille")
  Member "the calculus of algebraic constructions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "termination of rewrite relations on λ terms based on girard s notion of reducibility")
  Member "definitions by rewriting in the calculus of constructions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a modular termination method for second order computation")
  Member "inductive data type systems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a modular termination method for second order computation")

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)