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: "a hoare logic for the coinductive trace based big step semantics of while"
  Abstract: In search for a foundational framework for reasoning about observable#N#behavior of programs that may not terminate, we have previously devised a#N#trace-based big-step semantics for While. In this semantics, both traces and#N#evaluation (relating initial states of program runs to traces they produce) are#N#defined coinductively. On terminating runs, this semantics agrees with the#N#standard inductive state-based semantics. Here we present a Hoare logic#N#counterpart of our coinductive trace-based semantics and prove it sound and#N#complete. Our logic subsumes the standard partial-correctness state-based Hoare#N#logic as well as the total-correctness variation: they are embeddable. In the#N#converse direction, projections can be constructed: a derivation of a Hoare#N#triple in our trace-based logic can be translated into a derivation in the#N#state-based logic of a translated, weaker Hoare triple. Since we work with a#N#constructive underlying logic, the range of program properties we can reason#N#about has a fine structure; in particular, we can distinguish between#N#termination and nondivergence, e.g., unbounded classically total search fails#N#to be terminating, but is nonetheless nondivergent. Our meta-theory is entirely#N#constructive as well, and we have formalized it in Coq.

Connected through hyperedge HE-1 (induced by source paper "a metalanguage for guarded iteration"):
  with members:
    - "guarded traced categories"
    - "a semantics for hybrid iteration"
    - "guard your daggers and traces properties of guarded co recursion"
    - "the guarded lambda calculus programming and reasoning with guarded recursion for coinductive types"
    - "complete elgot monads and coalgebraic resumptions"
    - "a decidable weakening of compass logic based on cone shaped cardinal directions"
    - "intensionality definability and computation"
    - "first steps in synthetic guarded domain theory step indexing in the topos of trees"

Connected through hyperedge HE-2 (induced by source paper "guarded and unguarded iteration for generalized processes"):
  with members:
    - "guarded traced categories"
    - "guard your daggers and traces properties of guarded co recursion"
    - "partiality revisited the partiality monad as a quotient inductive inductive type"
    - "complete elgot monads and coalgebraic resumptions"
    - "some remarks on conway and iteration theories"
    - "coalgebraic infinite traces and kleisli simulations"
    - "a coinductive calculus for asynchronous side effecting processes"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-3 (induced by source paper "coinductive big step semantics for concurrency"):
  with members:
    - "a coinductive calculus for asynchronous side effecting processes"
    - "resumptions weak bisimilarity and big step semantics for while with interactive i o an exercise in mixed induction coinduction"
    - "coinductive big step operational semantics"
    - "general recursion via coinductive types"

Connected through hyperedge HE-4 (induced by source paper "resumptions weak bisimilarity and big step semantics for while with interactive i o an exercise in mixed induction coinduction"):
  with members:
    - "representations of stream processors using nested fixed points"
    - "coinductive big step operational semantics"
    - "general recursion via coinductive types"

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)