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 learning based realizability for heyting arithmetic with em1"
  Abstract: We apply to the semantics of Arithmetic the idea of ``finite approximation''#N#used to provide computational interpretations of Herbrand's Theorem, and we#N#interpret classical proofs as constructive proofs (with constructive rules for#N#$\vee, \exists$) over a suitable structure $\StructureN$ for the language of#N#natural numbers and maps of G\"odel's system $\SystemT$. We introduce a new#N#Realizability semantics we call ``Interactive learning-based Realizability'',#N#for Heyting Arithmetic plus $\EM_1$ (Excluded middle axiom restricted to#N#$\Sigma^0_1$ formulas). Individuals of $\StructureN$ evolve with time, and#N#realizers may ``interact'' with them, by influencing their evolution. We build#N#our semantics over Avigad's fixed point result, but the same semantics may be#N#defined over different constructive interpretations of classical arithmetic#N#(Berardi and de' Liguoro use continuations). Our notion of realizability#N#extends intuitionistic realizability and differs from it only in the atomic#N#case: we interpret atomic realizers as ``learning agents''.

Connected through hyperedge HE-1 (induced by source paper "formal modeling and smt based parameterized verification of data aware bpmn"):
  with members:
    - "formal modeling and smt based parameterized verification of data aware bpmn extended version"
    - "formal modeling and smt based parameterized verification of multi case data aware bpmn"
    - "verifas a practical verifier for artifact systems"
    - "db nets on the marriage of colored petri nets and relational databases"
    - "verification of hierarchical artifact systems"
    - "backward reachability of array based systems by smt solving termination and invariant synthesis"

Connected through hyperedge HE-2 (induced by source paper "an algorithmic approach to the existence of ideal objects in commutative algebra"):
  with members:
    - "extension by conservation sikorski s theorem"
    - "sequential algorithms and the computational content of classical proofs"
    - "extracting verified decision procedures dpll and resolution"
    - "spector bar recursion over finite partial functions"
    - "induction in algebra a first case study"

Connected through hyperedge HE-3 (induced by source paper "computational interpretations of classical reasoning from the epsilon calculus to stateful programs"):
  with members:
    - "extracting verified decision procedures dpll and resolution"
    - "spector bar recursion over finite partial functions"
    - "applying godel s dialectica interpretation to obtain a constructive proof of higman s lemma"
    - "existential witness extraction in classical realizability and via a negative translation"

Connected through hyperedge HE-4 (induced by source paper "knowledge spaces and the completeness of learning strategies"):
  with members:
    - "interactive realizability monads and witness extraction"
    - "non monotonic pre fixed points and learning"
    - "existential witness extraction in classical realizability and via a negative translation"

Connected through hyperedge HE-5 (induced by source paper "spector bar recursion over finite partial functions"):
  with members:
    - "bar recursion and products of selection functions"
    - "exhaustible sets in higher type computation"

Connected through hyperedge HE-6 (induced by source paper "interpreting a classical geometric proof with interactive realizability"):
  with members:
    - "interactive realizability monads and witness extraction"

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)