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: "rank logic is dead long live rank logic"
  Abstract: Motivated by the search for a logic for polynomial time, we study rank logic (FPR) which extends fixed-point logic with counting (FPC) by operators that determine the rank of matrices over finite fields. While FPR can express most of the known queries that separate FPC from PTIME, nearly nothing was known about the limitations of its expressive power. #R##N#In our first main result we show that the extensions of FPC by rank operators over different prime fields are incomparable. This solves an open question posed by Dawar and Holm and also implies that rank logic, in its original definition with a distinct rank operator for every field, fails to capture polynomial time. In particular we show that the variant of rank logic FPR* with an operator that uniformly expresses the matrix rank over finite fields is more expressive than FPR. #R##N#One important step in our proof is to consider solvability logic FPS which is the analogous extension of FPC by quantifiers which express the solvability problem for linear equation systems over finite fields. Solvability logic can easily be embedded into rank logic, but it is open whether it is a strict fragment. In our second main result we give a partial answer to this question: in the absence of counting, rank operators are strictly more expressive than solvability quantifiers.

Connected through hyperedge HE-1 (induced by source paper "approximations of isomorphism and logics with linear algebraic operators"):
  with members:
    - "a finite model theoretic view on propositional proof complexity"
    - "graph isomorphism in quasipolynomial time"
    - "definability of linear equation systems over groups and rings"
    - "pebble games and linear equations"
    - "pebble games with algebraic rules"

Connected through hyperedge HE-2 (induced by source paper "on the expressive power of linear algebra on graphs"):
  with members:
    - "on the expressiveness of lara a unified language for linear and relational algebra"
    - "laradb a minimalist kernel for linear and relational algebra computation"
    - "on the expressive power of query languages for matrices"
    - "on the combinatorial power of the weisfeiler lehman algorithm"
    - "towards linear algebra over normalized data"
    - "descriptive complexity of graph spectra"
    - "foundations of modern query languages for graph databases"
    - "dimension reduction via colour refinement"

Connected through hyperedge HE-3 (induced by source paper "a finite model theoretic view on propositional proof complexity"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "proof complexity meets algebra"
    - "linear diophantine equations group csps and graph isomorphism"
    - "limitations of algebraic approaches to graph isomorphism testing"
    - "pebble games and linear equations"

Connected through hyperedge HE-4 (induced by source paper "symmetric circuits for rank logic"):
  with members:
    - "pebble games with algebraic rules"

Connected through hyperedge HE-5 (induced by source paper "on the expressive power of query languages for matrices"):
  with members:
    - "on matrices and k relations"
    - "on the expressive power of linear algebra on graphs"
    - "laradb a minimalist kernel for linear and relational algebra computation"
    - "embedding tarskian semantics in vector spaces"
    - "towards linear algebra over normalized data"
    - "a linear algebraic approach to datalog evaluation"
    - "reachability is in dynfo"
    - "faq questions asked frequently"

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)