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: "interactive realizability monads and witness extraction"
  Abstract: In this dissertation we collect some results about "interactive realizability", a realizability semantics that extends the Brouwer-Heyting-Kolmogorov interpretation to (sub-)classical logic, more precisely to first-order intuitionistic arithmetic (Heyting Arithmetic, HA) extended by the law of the excluded middle restricted to simply existential formulas formulas (EM1), a system motivated by its interest in proof mining. #R##N#We describe the interactive interpretation of a classical proof involving real numbers. The statement we prove is a simple but non-trivial fact about points in the real plane. The proof employs EM1 to deduce properties of the ordering on the real numbers, which is undecidable and thus problematic from a constructive point of view. #R##N#We present a new set of reductions for derivations in natural deduction that can extract witnesses from closed derivations of simply existential formulas in HA + EM1. The reduction we present are inspired by the informal idea of learning by making falsifiable hypothesis and checking them, and by the interactive realizability interpretation. We extract the witnesses directly from derivations in HA + EM1 by reduction, without encoding derivations by a realizability interpretation. #R##N#We give a new presentation of interactive realizability with a more explicit syntax. We express interactive realizers by means of an abstract framework that applies the monadic approach used in functional programming to modified realizability, in order to obtain less strict notions of realizability that are suitable to classical logic. In particular we use a combination of the state and exception monads in order to capture the learning-from-mistakes nature of interactive realizers.

Connected through hyperedge HE-1 (induced by source paper "knowledge spaces and the completeness of learning strategies"):
  with members:
    - "non monotonic pre fixed points and learning"
    - "existential witness extraction in classical realizability and via a negative translation"
    - "interactive learning based realizability for heyting arithmetic with em1"

Connected through hyperedge HE-2 (induced by source paper "interpreting a classical geometric proof with interactive realizability"):
  with members:
    - "interactive learning based realizability for heyting arithmetic with em1"

Connected through hyperedge HE-3 (induced by source paper "strong normalization for ha em1 by non deterministic choice"):
  with members:
    - "probabilistic operational semantics for the lambda calculus"

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)