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: "pspace bounds for rank 1 modal logics"
  Abstract: For lack of general algorithmic methods that apply to wide classes of logics, establishing a complexity bound for a given modal logic is often a laborious task. The present work is a step towards a general theory of the complexity of modal logics. Our main result is that all rank-1 logics enjoy a shallow model property and thus are, under mild assumptions on the format of their axiomatisation, in PSPACE. This leads to a unified derivation of tight PSPACE-bounds for a number of logics, including K, KD, coalition logic, graded modal logic, majority logic, and probabilistic modal logic. Our generic algorithm moreover finds tableau proofs that witness pleasant proof-theoretic properties including a weak subformula property. This generality is made possible by a coalgebraic semantics, which conveniently abstracts from the details of a given model class and thus allows covering a broad range of logics in a uniform way.

Connected through hyperedge HE-1 (induced by source paper "optimal satisfiability checking for arithmetic mu calculi"):
  with members:
    - "permutation games for the weakly aconjunctive mu calculus"
    - "satisfiability games for branching time logics"
    - "unifying buchi complementation constructions"
    - "exptime tableaux for the coalgebraic mu calculus"
    - "strong completeness of coalgebraic modal logics"
    - "decisive markov chains"

Connected through hyperedge HE-2 (induced by source paper "categorical liveness checking by corecursive algebras"):
  with members:
    - "coalgebraic trace semantics for buechi and parity automata"
    - "healthiness from duality"
    - "coalgebraic infinite traces and kleisli simulations"
    - "well pointed coalgebras"
    - "generic trace semantics via coinduction"
    - "positional determinacy of games with infinitely many priorities"

Connected through hyperedge HE-3 (induced by source paper "disjunctive bases normal forms and model theory for modal logics"):
  with members:
    - "uniform interpolation for coalgebraic fixpoint logic"
    - "monadic second order logic and bisimulation invariance for coalgebras"
    - "completeness for the coalgebraic cover modality"
    - "exptime tableaux for the coalgebraic mu calculus"
    - "coalgebraic automata theory basic results"

Connected through hyperedge HE-4 (induced by source paper "model theory and proof theory of cpl"):
  with members:
    - "relating coalgebraic notions of bisimulation"
    - "named models in coalgebraic hybrid logic"

Connected through hyperedge HE-5 (induced by source paper "completeness via canonicity in coalgebraic logics"):
  with members:
    - "completeness via canonicity for distributive substructural logics a coalgebraic perspective"
    - "strongly complete logics for coalgebras"
    - "completeness for the coalgebraic cover modality"
    - "strong completeness of coalgebraic modal logics"

Connected through hyperedge HE-6 (induced by source paper "subsumption checking in conjunctive coalgebraic fixpoint logics"):
  with members:
    - "simulations and bisimulations for coalgebraic modal logics"
    - "graphical representation of covariant contravariant modal formulae"
    - "strong completeness of coalgebraic modal logics"
    - "the complexity of poor man s logic"

Connected through hyperedge HE-7 (induced by source paper "on qbf proofs and preprocessing"):
  with members:
    - "efsmt a logical framework for cyber physical systems"
    - "clause term resolution and learning in the evaluation of quantified boolean formulas"

Connected through hyperedge HE-8 (induced by source paper "finitely generated free heyting algebras via birkhoff duality and coalgebra"):
  with members:
    - "a cook s tour of the finitary non well founded sets"

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)