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: "subclasses of presburger arithmetic and the weak exp hierarchy"
  Abstract: It is shown that for any fixed i > 0, the Σi+1-fragment of Presburger arithmetic, i.e., its restriction to i + 1 quantifier alternations beginning with an existential quantifier, is complete for ΣiEXP, the i-th level of the weak EXP hierarchy, an analogue to the polynomial-time hierarchy residing between NEXP and EXPSPACE. This result completes the computational complexity landscape for Presburger arithmetic, a line of research which dates back to the seminal work by Fischer & Rabin in 1974. Moreover, we apply some of the techniques developed in the proof of the lower bound in order to establish bounds on sets of naturals definable in the Σ1-fragment of Presburger arithmetic: given a Σ1-formula Φ(x), it is shown that the set of non-negative solutions is an ultimately periodic set whose period is at most doubly-exponential and that this bound is tight.

Connected through hyperedge HE-1 (induced by source paper "succinct population protocols for presburger arithmetic"):
  with members:
    - "large flocks of small birds on the minimal size of population protocols"
    - "stable leader election in population protocols requires linear time"

Connected through hyperedge HE-2 (induced by source paper "two way parikh automata"):
  with members:
    - "on reversible transducers"

Connected through hyperedge HE-3 (induced by source paper "on the complexity of pointer arithmetic in separation logic an extended version"):
  with members:
    - "decision procedure for entailment of symbolic heaps with arrays"
    - "biabduction and related problems in array separation logic"

Connected through hyperedge HE-4 (induced by source paper "decidability complexity and expressiveness of first order logic over the subword ordering"):
  with members:
    - "on the state complexity of closures and interiors of regular languages with subwords and superwords"
    - "decidability in the logic of subsequences and supersequences"
    - "generalized post embedding problems"
    - "the height of piecewise testable languages with applications in logical complexity"
    - "the power of priority channel systems"
    - "recompression a simple and powerful technique for word equations"

Connected through hyperedge HE-5 (induced by source paper "existential length universality"):
  with members:
    - "green s relations in finite transformation semigroups"
    - "the complexity of downward closure comparisons"
    - "emptiness and universality problems in timed automata with positive frequency"
    - "the computational complexity of universality problems for prefixes suffixes factors and subwords of regular languages"

Connected through hyperedge HE-6 (induced by source paper "how hard is it to verify flat affine counter systems with the finite monoid property"):
  with members:
    - "reachability in two dimensional vector addition systems with states is pspace complete"
    - "a concurrent pattern calculus"
    - "deciding conditional termination"
    - "on the complexity of verifying regular properties on flat counter systems"
    - "invariant generation through strategy iteration in succinctly represented control flow graphs"
    - "taming past ltl and flat counter systems"

Connected through hyperedge HE-7 (induced by source paper "biabduction and related problems in array separation logic"):
  with members:
    - "automatic verification of iterated separating conjunctions using symbolic execution"
    - "the tree width of separation logic with recursive definitions"

Connected through hyperedge HE-8 (induced by source paper "context free commutative grammars with integer counters and resets"):
  with members:
    - "approaching the coverability problem continuously"
    - "complexity of problems of commutative grammars"
    - "demystifying reachability in vector addition systems"
    - "tightening the complexity of equivalence problems for commutative grammars"
    - "unary pushdown automata and straight line programs"
    - "integer vector addition systems with states"
    - "semilinearity and context freeness of languages accepted by valence automata"

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)