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: "optimal and cut free tableaux for propositional dynamic logic with converse"
  Abstract: We give an optimal (EXPTIME), sound and complete tableau-based algorithm for deciding satisfiability for propositional dynamic logic with converse (CPDL) which does not require the use of analytic cut. Our main contribution is a sound methodto combine our previous optimal method for tracking least fix-points in PDL with our previous optimal method for handling converse in the description logic ALCI. The extension is non-trivial as the two methods cannot be combined naively. We give sufficient details to enable an implementation by others. Our OCaml implementation seems to be the first theorem prover for CPDL.

Connected through hyperedge HE-1 (induced by source paper "exptime tableaux for type pdl"):
  with members:
    - "an on the fly tableau based decision procedure for pdl satisfiability"

Connected through hyperedge HE-2 (induced by source paper "exptime tableaux with global caching for the description logic shoq"):
  with members:
    - "exptime tableaux for the description logic shiq based on global state caching and integer linear feasibility checking"
    - "complexity results and practical algorithms for logics in knowledge representation"

Connected through hyperedge HE-3 (induced by source paper "grammar logics in nested sequent calculus proof theory and decision procedures"):
  with members:
    - "on the correspondence between display postulates and deep inference in nested sequent calculi for tense logics"
    - "cut elimination and proof search for bi intuitionistic tense logic"
    - "a system of interaction and structure"
    - "deciding regular grammar logics with converse through first order logic"

Connected through hyperedge HE-4 (induced by source paper "exptime tableaux for the description logic shiq based on global state caching and integer linear feasibility checking"):
  with members:
    - "a cut free exptime tableau decision procedure for the logic extending converse pdl with regular inclusion axioms"
    - "complexity results and practical algorithms for logics in knowledge representation"
    - "reasoning with individuals for the description logic shiq"

Connected through hyperedge HE-5 (induced by source paper "tableau based decision procedure for the multi agent epistemic logic with all coalitional operators for common and distributed knowledge"):
  with members:
    - "tableau based decision procedure for the multi agent epistemic logic with operators of common and distributed knowledge"
    - "knowledge and common knowledge in a distributed environment"

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)