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: "splitting an operator algebraic modularity results for logics with fixpoint semantics"
  Abstract: It is well known that, under certain conditions, it is possible to split logic programs under stable model semantics, i.e. to divide such a program into a number of different "levels", such that the models of the entire program can be constructed by incrementally constructing models for each level. Similar results exist for other non-monotonic formalisms, such as auto-epistemic logic and default logic. In this work, we present a general, algebraicsplitting theory for logics with a fixpoint semantics. Together with the framework of approximation theory, a general fixpoint theory for arbitrary operators, this gives us a uniform and powerful way of deriving splitting results for each logic with a fixpoint semantics. We demonstrate the usefulness of these results, by generalizing existing results for logic programming, auto-epistemic logic and default logic.

Connected through hyperedge HE-1 (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"
    - "a fixed point theorem for non monotonic functions"
    - "minimum model semantics for extensional higher order logic programming with negation"
    - "modularity aspects of disjunctive stable models"
    - "minimum model semantics for logic programs with negation as failure"

Connected through hyperedge HE-2 (induced by source paper "simulating dynamic systems using linear time calculus theories"):
  with members:
    - "predicate logic as a modelling language the idp system"
    - "an enhanced features extractor for a portfolio of constraint solvers"
    - "towards a logic based unifying framework for computing"
    - "a prototype of a knowledge based programming environment"

Connected through hyperedge HE-3 (induced by source paper "a fixed point theorem for non monotonic functions"):
  with members:
    - "minimum model semantics for extensional higher order logic programming with negation"
    - "extensional higher order logic programming"
    - "minimum model semantics for logic programs with negation as failure"

Connected through hyperedge HE-4 (induced by source paper "three semantics for modular systems"):
  with members:
    - "solving modular model expansion tasks"
    - "a logic for non monotone inductive definitions"

Connected through hyperedge HE-5 (induced by source paper "well founded and stable semantics of logic programs with aggregates"):
  with members:
    - "logic programs with monotone cardinality atoms"
    - "uniform semantic treatment of default and autoepistemic logics"
    - "extending classical logic with inductive definitions"
    - "problem solving in id logic with aggregates some experiments"

Connected through hyperedge HE-6 (induced by source paper "a logic for non monotone inductive definitions"):
  with members:
    - "uniform semantic treatment of default and autoepistemic logics"
    - "extending classical logic with inductive definitions"
    - "stable models and an alternative logic programming paradigm"

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.AI(Artificial Intelligence)