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: "a fixed point theorem for non monotonic functions"
  Abstract: We present a fixed point theorem for a class of (potentially) non-monotonic functions over specially structured complete lattices. The theorem has as a special case the Knaster-Tarski fixed point theorem when restricted to the case of monotonic functions and Kleene's theorem when the functions are additionally continuous. From the practical side, the theorem has direct applications in the semantics of negation in logic programming. In particular, it leads to a more direct and elegant proof of the least fixed point result of [Rondogiannis and W.W.Wadge, ACM TOCL 6(2): 441-467 (2005)]. Moreover, the theorem appears to have potential for possible applications outside the logic programming domain.

Connected through hyperedge HE-1 (induced by source paper "approximation fixpoint theory and the well founded semantics of higher order logic programs"):
  with members:
    - "extensional semantics for higher order logic programs with negation"
    - "an analysis of the equational properties of the well founded fixed point"
    - "equivalence of two fixed point semantics for definitional higher order logic programs"
    - "minimum model semantics for extensional higher order logic programming with negation"
    - "extensional higher order logic programming"

Connected through hyperedge HE-2 (induced by source paper "an analysis of the equational properties of the well founded fixed point"):
  with members:
    - "a representation theorem for stratified complete lattices"
    - "minimum model semantics for extensional higher order logic programming with negation"
    - "modularity aspects of disjunctive stable models"
    - "splitting an operator algebraic modularity results for logics with fixpoint semantics"
    - "minimum model semantics for logic programs with negation as failure"

Connected through hyperedge HE-3 (induced by source paper "a representation theorem for stratified complete lattices"):
  with members:
    - "minimum model semantics for extensional higher order logic programming with negation"
    - "minimum model semantics for logic programs with negation as failure"

Connected through hyperedge HE-4 (induced by source paper "minimum model semantics for extensional higher order logic programming with negation"):
  with members:
    - "extensional higher order logic programming"
    - "linear logic based analysis of constraint handling rules with disjunction"
    - "minimum model semantics for logic programs with negation as failure"

Connected through hyperedge HE-5 (induced by source paper "equational properties of saturated least fixed points"):
  with members:
    - "equational axioms associated with finite automata for fixed point operations in cartesian categories"

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)