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: "answer sets for logic programs with arbitrary abstract constraint atoms"
  Abstract: In this paper, we present two alternative approaches to defining answer sets for logic programs with arbitrary types of abstract constraint atoms (c-atoms). These approaches generalize the fixpoint-based and the level mapping based answer set semantics of normal logic programs to the case of logic programs with arbitrary types of c-atoms. The results are four different answer set definitions which are equivalent when applied to normal logic programs.#R##N##R##N#The standard fixpoint-based semantics of logic programs is generalized in two directions, called answer set by reduct and answer set by complement. These definitions, which differ from each other in the treatment of negation-as-failure (naf) atoms, make use of an immediate consequence operator to perform answer set checking, whose definition relies on the notion of conditional satisfaction of c-atoms w.r.t. a pair of interpretations.#R##N##R##N#The other two definitions, called strongly and weakly well-supported models, are generalizations of the notion of well-supported models of normal logic programs to the case of programs with c-atoms. As for the case of fixpoint-based semantics, the difference between these two definitions is rooted in the treatment of naf atoms.#R##N##R##N#We prove that answer sets by reduct (resp. by complement) are equivalent to weakly (resp. strongly) well-supported models of a program, thus generalizing the theorem on the correspondence between stable models and well-supported models of a normal logic program to the class of programs with c-atoms.#R##N##R##N#We show that the newly defined semantics coincide with previously introduced semantics for logic programs with monotone c-atoms, and they extend the original answer set semantics of normal logic programs. We also study some properties of answer sets of programs with c-atoms, and relate our definitions to several semantics for logic programs with aggregates presented in the literature.

Connected through hyperedge HE-1 (induced by source paper "vicious circle principle and logic programs with aggregates"):
  with members:
    - "on the semantics of gringo"
    - "design and implementation of aggregate functions in the dlv system"
    - "the dlv system for knowledge representation and reasoning"
    - "well founded and stable semantics of logic programs with aggregates"
    - "weight constraints as nested expressions"

Connected through hyperedge HE-2 (induced by source paper "properties of answer set programming with convex generalized atoms"):
  with members:
    - "unfounded sets and well founded semantics of answer set programs with aggregates"
    - "properties and applications of programs with monotone and convex constraints"
    - "a constructive semantic characterization of aggregates in asp"
    - "well founded and stable semantics of logic programs with aggregates"
    - "logic programs with monotone cardinality atoms"

Connected through hyperedge HE-3 (induced by source paper "unfounded sets and well founded semantics of answer set programs with aggregates"):
  with members:
    - "team building with answer set programming in the gioia tauro seaport"
    - "consistent query answering via asp from different perspectives theory and practice"
    - "xsb extending prolog with tabled logic programming"
    - "logic programs with propositional connectives and aggregates"
    - "properties and applications of programs with monotone and convex constraints"
    - "the dlv system for knowledge representation and reasoning"
    - "well founded and stable semantics of logic programs with aggregates"
    - "well founded semantics for extended logic programs with dynamic preferences"

Connected through hyperedge HE-4 (induced by source paper "embedding description logic programs into default logic"):
  with members:
    - "loop formulas for description logic programs"
    - "embedding non ground logic programs into autoepistemic logic for knowledge base combination"
    - "weight constraints as nested expressions"
    - "stable models and an alternative logic programming paradigm"

Connected through hyperedge HE-5 (induced by source paper "relating weight constraint and aggregate programs semantics and representation"):
  with members:
    - "characterizations of stable model semantics for logic programs with arbitrary constraint atoms"
    - "properties and applications of programs with monotone and convex constraints"
    - "well founded and stable semantics of logic programs with aggregates"
    - "weight constraints as nested expressions"

Connected through hyperedge HE-6 (induced by source paper "characterizations of stable model semantics for logic programs with arbitrary constraint atoms"):
  with members:
    - "properties and applications of programs with monotone and convex constraints"
    - "well founded and stable semantics of logic programs with aggregates"
    - "stable models and an alternative logic programming paradigm"

Connected through hyperedge HE-7 (induced by source paper "logic programs with propositional connectives and aggregates"):
  with members:
    - "propositional theories are strongly equivalent to logic programs"
    - "well founded and stable semantics of logic programs with aggregates"
    - "weight constraints as nested expressions"
    - "strong equivalence made easy nested expressions and weight constraints"
    - "ultimate approximations in nonmonotonic knowledge representation systems"
    - "des a challenge problem for nonmonotonic reasoning systems"
    - "stable models and an alternative logic programming paradigm"

Connected through hyperedge HE-8 (induced by source paper "properties and applications of programs with monotone and convex constraints"):
  with members:
    - "well founded and stable semantics of logic programs with aggregates"
    - "weight constraints as nested expressions"
    - "tight logic programs"
    - "strong equivalence made easy nested expressions and weight constraints"
    - "local search techniques for propositional logic extended with cardinality constraints"

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)