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: "applying computer algebra systems with sat solvers to the williamson conjecture"
  Abstract: Abstract   We employ tools from the fields of symbolic computation and satisfiability checking—namely, computer algebra systems and SAT solvers—to study the Williamson conjecture from combinatorial design theory and increase the bounds to which Williamson matrices have been enumerated. In particular, we completely enumerate all Williamson matrices of even order up to and including 70 which gives us deeper insight into the behaviour and distribution of Williamson matrices. We find that, in contrast to the case when the order is odd, Williamson matrices of even order are quite plentiful and exist in every even order up to and including 70. As a consequence of this and a new construction for 8-Williamson matrices we construct 8-Williamson matrices in all odd orders up to and including 35. We additionally enumerate all Williamson matrices whose orders are divisible by 3 and less than 70, finding one previously unknown set of Williamson matrices of order 63.

Connected through hyperedge HE-1 (induced by source paper "nonexistence certificates for ovals in a projective plane of order ten"):
  with members:
    - "trimming graphs using clausal proof optimization"
    - "sat solvers and computer algebra systems a powerful combination for mathematics"
    - "the sat cas method for combinatorial search with applications to best matrices"
    - "a nonexistence certificate for projective planes of order ten with weight 15 codewords"
    - "complex golay pairs up to length 28 a search via computer algebra and programmatic sat"
    - "schur number five"
    - "solving and verifying the boolean pythagorean triples problem via cube and conquer"
    - "computer aided proof of erdos discrepancy properties"

Connected through hyperedge HE-2 (induced by source paper "the sat cas method for combinatorial search with applications to best matrices"):
  with members:
    - "complex golay pairs up to length 28 a search via computer algebra and programmatic sat"
    - "enumeration of complex golay pairs via programmatic sat"
    - "a sat cas approach to finding good matrices new examples and counterexamples"
    - "schur number five"
    - "solving and verifying the boolean pythagorean triples problem via cube and conquer"
    - "green tao numbers and sat"
    - "satisfiability and computing van der waerden numbers"

Connected through hyperedge HE-3 (induced by source paper "sat solvers and computer algebra systems a powerful combination for mathematics"):
  with members:
    - "the sat cas method for combinatorial search with applications to best matrices"
    - "complex golay pairs up to length 28 a search via computer algebra and programmatic sat"
    - "enumeration of complex golay pairs via programmatic sat"
    - "a sat cas approach to finding good matrices new examples and counterexamples"
    - "computer aided proof of erdos discrepancy properties"

Connected through hyperedge HE-4 (induced by source paper "new infinite families of perfect quaternion sequences and williamson sequences"):
  with members:
    - "sequences with small correlation"
    - "a construction for perfect periodic autocorrelation sequences"

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)