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: "sequent calculus in the topos of trees"
  Abstract: Nakano's "later" modality, inspired by G\"{o}del-L\"{o}b provability logic, has been applied in type systems and program logics to capture guarded recursion. Birkedal et al modelled this modality via the internal logic of the topos of trees. We show that the semantics of the propositional fragment of this logic can be given by linear converse-well-founded intuitionistic Kripke frames, so this logic is a marriage of the intuitionistic modal logic KM and the intermediate logic LC. We therefore call this logic $\mathrm{KM}_{\mathrm{lin}}$. We give a sound and cut-free complete sequent calculus for $\mathrm{KM}_{\mathrm{lin}}$ via a strategy that decomposes implication into its static and irreflexive components. Our calculus provides deterministic and terminating backward proof-search, yields decidability of the logic and the coNP-completeness of its validity problem. Our calculus and decision procedure can be restricted to drop linearity and hence capture KM.

Connected through hyperedge HE-1 (induced by source paper "coinduction in uniform foundations for corecursive proof search with horn clauses"):
  with members:
    - "coinductive uniform proofs"
    - "towards coinductive theory exploration in horn clause logic position paper"
    - "breaking the loop recursive proofs for coinductive predicates in fibrations"
    - "productive corecursion in logic programming"
    - "guarded dependent type theory with coinductive types"
    - "proof relevant corecursive resolution"
    - "refinement type inference via horn constraint optimization"
    - "first steps in synthetic guarded domain theory step indexing in the topos of trees"

Connected through hyperedge HE-2 (induced by source paper "lewis meets brouwer constructive strict implication"):
  with members:
    - "a light modality for recursion"
    - "guard your daggers and traces properties of guarded co recursion"
    - "guarded dependent type theory with coinductive types"
    - "programming and reasoning with guarded recursion for coinductive types"
    - "constructive modalities with provability smack"
    - "epistemic updates on algebras"
    - "first steps in synthetic guarded domain theory step indexing in the topos of trees"
    - "canonized rewriting and ground ac completion modulo shostak theories design and implementation"

Connected through hyperedge HE-3 (induced by source paper "programming and reasoning with guarded recursion for coinductive types"):
  with members:
    - "abstract gsos rules and a modular treatment of recursive definitions"
    - "first steps in synthetic guarded domain theory step indexing in the topos of trees"

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)