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: "constructing recursion operators in intuitionistic type theory"
  Abstract: Martin-L\"of's Intuitionistic Theory of Types is becoming popular for formal reasoning about computer programs. To handle recursion schemes other than primitive recursion, a theory of well-founded relations is presented. Using primitive recursion over higher types, induction and recursion are formally derived for a large class of well-founded relations. Included are < on natural numbers, and relations formed by inverse images, addition, multiplication, and exponentiation of other relations. The constructions are given in full detail to allow their use in theorem provers for Type Theory, such as Nuprl. The theory is compared with work in the field of ordinal recursion over higher types.

Connected through hyperedge HE-1 (induced by source paper "formalising mathematics in simple type theory"):
  with members:
    - "computational logic its origins and applications"
    - "formalization of the fundamental group in untyped set theory using auto2"
    - "natural deduction as higher order resolution"
    - "mechanizing coinduction and corecursion in higher order logic"

Connected through hyperedge HE-2 (induced by source paper "termination of rewrite relations on λ terms based on girard s notion of reducibility"):
  with members:
    - "higher order dependency pairs"
    - "the computability path ordering"
    - "polynomial interpretations for higher order rewriting"
    - "static dependency pair method based on strong computability for higher order rewrite systems"
    - "neighbourhood structures bisimilarity and basic model theory"
    - "on the relation between size based termination and semantic labelling"
    - "decidability of higher order matching"
    - "the computability path ordering the end of a quest"

Connected through hyperedge HE-3 (induced by source paper "mechanizing set theory cardinal arithmetic and the axiom of choice"):
  with members:
    - "isabelle the next 700 theorem provers"

Connected through hyperedge HE-4 (induced by source paper "a formulation of the simple theory of types for isabelle"):
  with members:
    - "verifying the unification algorithm in lcf"
    - "the foundation of a generic theorem prover"
    - "isabelle the next 700 theorem provers"

Connected through hyperedge HE-5 (induced by source paper "proving termination of normalization functions for conditional expressions"):
  with members:
    - "verifying the unification algorithm in lcf"

Connected through hyperedge HE-6 (induced by source paper "verifying the unification algorithm in lcf"):
  with members:
    - "a higher order implementation of rewriting"

Connected through hyperedge HE-7 (induced by source paper "set theory for verification ii induction and recursion"):
  with members:
    - "set theory for verification i from foundations to functions"

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)