human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "undecidable propositional bimodal logics and one variable first order linear temporal logics with counting"):
  Abstract: First-order temporal logics are notorious for their bad computational behavior. It is known that even the two-variable monadic fragment is highly undecidable over various linear timelines, and over branching time even one-variable fragments might be undecidable. However, there have been several attempts at finding well-behaved fragments of first-order temporal logics and related temporal description logics, mostly either by restricting the available quantifier patterns or by considering sub-Boolean languages. Here we analyze seemingly “mild” extensions of decidable one-variable fragments with counting capabilities, interpreted in models with constant, decreasing, and expanding first-order domains. We show that over most classes of linear orders, these logics are (sometimes highly) undecidable, even without constant and function symbols, and with the sole temporal operator “eventually.”   We establish connections with bimodal logics over 2D product structures having linear and “difference” (inequality) component relations and prove our results in this bimodal setting. We show a general result saying that satisfiability over many classes of bimodal models with commuting “unbounded” linear and difference relations is undecidable. As a byproduct, we also obtain new examples of finitely axiomatizable but Kripke incomplete bimodal logics. Our results generalize similar lower bounds on bimodal logics over products of two linear relations, and our proof methods are quite different from the known proofs of these results. Unlike previous proofs that first “diagonally encode” an infinite grid and then use reductions of tiling or Turing machine problems, here we make direct use of the grid-like structure of product frames and obtain lower-complexity bounds by reductions of counter (Minsky) machine problems. Representing counter machine runs apparently requires less control over neighboring grid points than tilings or Turing machine runs, and so this technique is possibly more versatile, even if one component of the underlying product structures is “close to” being the universal relation.

Includes members:
  Member "a cookbook for temporal conceptual data modelling with description logics":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "horn fragments of the halpern shoham interval temporal logic")
  Member "monodic temporal resolution":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "horn fragments of the halpern shoham interval temporal logic")

Question: Please tell me which class the source paper 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)