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: "environment assumptions for synthesis"
  Abstract: The synthesis problem asks to construct a reactive finite-state system from an $\omega$-regular specification. Initial specifications are often unrealizable, which means that there is no system that implements the specification. A common reason for unrealizability is that assumptions on the environment of the system are incomplete. We study the problem of correcting an unrealizable specification $\phi$ by computing an environment assumption $\psi$ such that the new specification $\psi\to\phi$ is realizable. Our aim is to construct an assumption $\psi$ that constrains only the environment and is as weak as possible. We present a two-step algorithm for computing assumptions. The algorithm operates on the game graph that is used to answer the realizability question. First, we compute a safety assumption that removes a minimal set of environment edges from the graph. Second, we compute a liveness assumption that puts fairness conditions on some of the remaining environment edges. We show that the problem of finding a minimal set of fair edges is computationally hard, and we use probabilistic games to compute a locally minimal fairness assumption.

Connected through hyperedge HE-1 (induced by source paper "the challenges in specifying and explaining synthesized implementations of reactive systems"):
  with members:
    - "bosy an experimentation framework for bounded synthesis"
    - "synthesizing skeletons for reactive systems"
    - "strategy representation by decision trees in reactive synthesis"
    - "reactive synthesis towards output sensitive algorithms"
    - "the 4th reactive synthesis competition syntcomp 2017 benchmarks participants results"
    - "bounded cycle synthesis"
    - "structural synthesis for gxw specifications"
    - "counterexample explanation by learning small strategies in markov decision processes"

Connected through hyperedge HE-2 (induced by source paper "ltlf synthesis with fairness and stability assumptions"):
  with members:
    - "bounded synthesis of reactive programs"
    - "finite ltl synthesis with environment assumptions and quality measures"
    - "symbolic ltlf synthesis"
    - "assume admissible synthesis"

Connected through hyperedge HE-3 (induced by source paper "a weakness measure for gr 1 formulae"):
  with members:
    - "interpolation based gr 1 assumptions refinement"
    - "counter strategy guided refinement of gr 1 temporal logic specifications"
    - "better quality in synthesis through quantitative objectives"

Connected through hyperedge HE-4 (induced by source paper "finite ltl synthesis with environment assumptions and quality measures"):
  with members:
    - "algorithms for b uchi games"

Connected through hyperedge HE-5 (induced by source paper "high quality synthesis against stochastic environments"):
  with members:
    - "meet your expectations with guarantees beyond worst case synthesis in quantitative games"
    - "energy and mean payoff parity markov decision processes"
    - "better quality in synthesis through quantitative objectives"

Connected through hyperedge HE-6 (induced by source paper "interpolation based gr 1 assumptions refinement"):
  with members:
    - "a theory of formal synthesis via inductive learning"
    - "are there good mistakes a theoretical analysis of cegis"
    - "counter strategy guided refinement of gr 1 temporal logic specifications"

Connected through hyperedge HE-7 (induced by source paper "optimal assumptions for synthesis"):
  with members:
    - "assume admissible synthesis"
    - "how to handle assumptions in synthesis"
    - "the complexity of admissibility in omega regular games"

Connected through hyperedge HE-8 (induced by source paper "what you really need to know about your neighbor"):
  with members:
    - "assume admissible synthesis"

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.GT(Computer Science and Game Theory)