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: "reasoning with graphs"
  Abstract: The aim of this thesis is to present an extension to the string graphs of Dixon, Duncan and Kissinger that allows the finite representation of certain infinite families of graphs and graph rewrite rules, and to demonstrate that a logic can be built on this to allow the formalisation of inductive proofs in the string diagrams of compact closed and traced symmetric monoidal categories. #R##N#String diagrams provide an intuitive method for reasoning about monoidal categories. However, this does not negate the ability for those using them to make mistakes in proofs. To this end, there is a project (Quantomatic) to build a proof assistant for string diagrams, at least for those based on categories with a notion of trace. The development of string graphs has provided a combinatorial formalisation of string diagrams, laying the foundations for this project. #R##N#The prevalence of commutative Frobenius algebras (CFAs) in quantum information theory, a major application area of these diagrams, has led to the use of variable-arity nodes as a shorthand for normalised networks of Frobenius algebra morphisms, so-called "spider notation". This notation greatly eases reasoning with CFAs, but string graphs are inadequate to properly encode this reasoning. #R##N#This dissertation extends string graphs to allow for variable-arity nodes to be represented at all, and then introduces !-box notation (and structures to encode it) to represent string graph equations containing repeated subgraphs, where the number of repetitions is abitrary. It then demonstrates how we can reason directly about !-graphs, viewed as (typically infinite) families of string graphs. Of particular note is the presentation of a form of graph-based induction, allowing the formal encoding of proofs that previously could only be represented as a mix of string diagrams and explanatory text.

Connected through hyperedge HE-1 (induced by source paper "a framework for rewriting families of string diagrams"):
  with members:
    - "enriching a linear non linear lambda calculus a programming language for string diagrams"
    - "rewriting context free families of string diagrams"
    - "equational reasoning with context free families of string diagrams"
    - "quantomatic a proof assistant for diagrammatic reasoning"
    - "graphs with trivial overlap are context free"

Connected through hyperedge HE-2 (induced by source paper "quantomatic a proof assistant for diagrammatic reasoning"):
  with members:
    - "graphs with trivial overlap are context free"
    - "tinker tailor solver proof"
    - "tensors graphs and non commutative quantum structures"
    - "synthesising graphical theories"
    - "experimental support for a categorical compositional distributional model of meaning"
    - "mathematical foundations for a compositional distributional model of meaning"

Connected through hyperedge HE-3 (induced by source paper "tensors graphs and non commutative quantum structures extended version"):
  with members:
    - "compositional distributional semantics with compact closed categories and frobenius algebras"
    - "tensors graphs and non commutative quantum structures"
    - "proceedings sixth workshop on developments in computational models causality computation and physics edinburgh scotland 9 10th july 2010"
    - "graphical reasoning in compact closed categories for quantum computation"

Connected through hyperedge HE-4 (induced by source paper "encoding tensors as graphs with neighbourhood orders"):
  with members:
    - "graphs with trivial overlap are context free"
    - "compositional distributional semantics with compact closed categories and frobenius algebras"
    - "tensors graphs and non commutative quantum structures"
    - "graphical reasoning in compact closed categories for quantum computation"

Connected through hyperedge HE-5 (induced by source paper "graphs with trivial overlap are context free"):
  with members:
    - "quantomatic a proof assistant for diagrammatic reasoning"
    - "tensors graphs and non commutative quantum structures"
    - "graphical reasoning in compact closed categories for quantum computation"

Connected through hyperedge HE-6 (induced by source paper "a diagrammatic axiomatisation for qubit entanglement"):
  with members:
    - "connector algebras for c e and p t nets interactions"
    - "the ghz w calculus contains rational arithmetic"

Connected through hyperedge HE-7 (induced by source paper "tensors graphs and non commutative quantum structures"):
  with members:
    - "compositional distributional semantics with compact closed categories and frobenius algebras"
    - "proceedings sixth workshop on developments in computational models causality computation and physics edinburgh scotland 9 10th july 2010"
    - "graphical reasoning in compact closed categories for quantum computation"

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)