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: "the structure of first order causality"
  Abstract: Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing dependencies induced by quantifications in first-order propositional logic. One of the main difficulties that has to be faced during the elaboration of this kind of semantics is to characterize definable strategies, that is strategies which actually behave like a proof. This is usually done by restricting the model to strategies satisfying subtle combinatorial conditions, whose preservation under composition is often difficult to show. Here, we present an original methodology to achieve this task, which requires to combine advanced tools from game semantics, rewriting theory and categorical algebra. We introduce a diagrammatic presentation of the monoidal category of definable strategies of our model, by the means of generators and relations: those strategies can be generated from a finite set of atomic strategies and the equality between strategies admits a finite axiomatization, this equational structure corresponding to a polarized variation of the notion of bialgebra. This work thus bridges algebra and denotational semantics in order to reveal the structure of dependencies induced by first-order quantifiers, and lays the foundations for a mechanized analysis of causality in programming languages.

Connected through hyperedge HE-1 (induced by source paper "interacting frobenius algebras are hopf"):
  with members:
    - "interacting hopf algebras"
    - "the frobenius anatomy of word meanings ii possessive relative pronouns"
    - "the frobenius anatomy of word meanings i subject and object relative pronouns"
    - "nets relations and linking diagrams"
    - "the structure of first order causality"

Connected through hyperedge HE-2 (induced by source paper "presenting finite posets"):
  with members:
    - "towards 3 dimensional rewriting theory"
    - "the structure of first order causality"
    - "a non standard semantics for kahn networks in continuous time"
    - "asynchronous games innocence without alternation"

Connected through hyperedge HE-3 (induced by source paper "towards 3 dimensional rewriting theory"):
  with members:
    - "the structure of first order causality"
    - "computing critical pairs in 2 dimensional rewriting systems"
    - "logical relations for monadic types"

Connected through hyperedge HE-4 (induced by source paper "game semantics for first order logic"):
  with members:
    - "the structure of first order causality"
    - "second order type isomorphisms through game semantics"

Connected through hyperedge HE-5 (induced by source paper "computing critical pairs in 2 dimensional rewriting systems"):
  with members:
    - "the structure of first order causality"

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)