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: "algebraic foundations of proof refinement"
  Abstract: We contribute a general apparatus for dependent tactic-based proof refinement in the LCF tradition, in which the statements of subgoals may express a dependency on the proofs of other subgoals; this form of dependency is extremely useful and can serve as an algorithmic alternative to extensions of LCF based on non-local instantiation of schematic variables. Additionally, we introduce a novel behavioral distinction between refinement rules and tactics based on naturality. Our framework, called Dependent LCF, is already deployed in the nascent RedPRL proof assistant for computational cubical type theory.

Connected through hyperedge HE-1 (induced by source paper "qed at large a survey of engineering of formally verified software"):
  with members:
    - "bridging the gap between programming languages and hardware weak memory models"
    - "automatic software repair a bibliography"
    - "the redprl proof assistant invited paper"
    - "verifying strong eventual consistency in distributed systems"
    - "deep network guided proof search"
    - "understanding and maintaining tactics graphically or how we are learning that a diagram can be worth more than 10k loc"
    - "gradual certified programming in coq"
    - "automatic and transparent transfer of theorems along isomorphisms in the coq proof assistant"

Connected through hyperedge HE-2 (induced by source paper "computational higher type theory iv inductive types"):
  with members:
    - "computational higher type theory iii univalent universes and exact equality"
    - "computational higher type theory i abstract cubical realizability"
    - "quotient inductive inductive types"
    - "canonicity for cubical type theory"
    - "computational higher type theory ii dependent cubical realizability"
    - "higher inductive types as homotopy initial algebras"

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)